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Your search returned **6146** results.

'Language' and Intelligence in Monkeys and Apes

**Comparative Developmental Perspectives**

Edited by Sue Taylor Parker, Kathleen Rita Gibson

Edited by Sue Taylor Parker, Kathleen Rita Gibson

**Print Publication Year:** 1990

**Print ISBN:** 9780521380287

**Online Publication Date:** May 2010

**Online ISBN:** 9780511665486

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511665486

This collection of articles is completely and explicitly devoted to the new field of comparative developmental evolutionary psychology--that is, to studies of primate abilities based on frameworks drawn from developmental psychology and evolutionary biology. These frameworks include Piagetian and neo-Piagetian models as well as psycholinguistic ones. The articles in this collection--originating in Japan, Spain, Italy, France, Canada, and the United States--represent a variety of backgrounds in human and nonhuman primate research. The authors focus on such areas as the nature of culture, intelligence, language, and imitation; the differences among species in mental abilities and developmental patterns; and the evolution of life histories and of mental abilities and their neurological bases.

'Nature and the Greeks' and 'Science and Humanism'

Erwin Schrödinger, Foreword by Roger Penrose

Erwin Schrödinger, Foreword by Roger Penrose

**Print Publication Year:** 1996

**Print ISBN:** 9780521575508

**Online Publication Date:** July 2014

**Online ISBN:** 9781139878333

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139878333

Nobel laureate Erwin Schrödinger was one of the most distinguished scientists and philosophers of the twentieth century, and his lectures are legendary. Here the texts of two of Schrödinger's most famous lecture series are made available again. In the first, entitled "Nature and the Greeks," Schrödinger offers a historical account of the scientific world picture. In the second, called "Science and Humanism," he addresses fundamental questions about the link between scientific and spiritual matters. As Roger Penrose confirms, these are the profound thoughts of a great mind, and as relevant today as when they were first published in the 1950s.

'Nature and the Greeks' and 'Science and Humanism'

Erwin Schrödinger

Erwin Schrödinger

**Print Publication Year:** 2014

**Print ISBN:** 9781107431836

**Online Publication Date:** October 2014

**Online ISBN:** 9781139923491

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139923491

Nobel laureate Erwin Schrödinger was one of the most distinguished scientists of the twentieth century; his lectures on the history and philosophy of science are legendary. 'Nature and the Greeks' and 'Science and Humanism' makes available for the first time in many years the texts of two of Schrödinger's most famous lecture series. 'Nature and the Greeks' offers a comprehensive historical account of the twentieth-century scientific world picture, tracing modern science back to the earliest stages of Western philosophic thought. 'Science and Humanism' addresses some of the most fundamental questions of the century: what is the value of scientific research? And how do the achievements of modern science affect the relationship between material and spiritual matters? A foreword by Roger Penrose sets the lectures in a contemporary context, and affirms they are as relevant today as when they were first published.

200 More Puzzling Physics Problems

**With Hints and Solutions**

Péter Gnädig, Gyula Honyek, Máté Vigh, Edited in consultation with Ken F. Riley

Péter Gnädig, Gyula Honyek, Máté Vigh, Edited in consultation with Ken F. Riley

**Print Publication Year:** 2016

**Print ISBN:** 9781107103856

**Online Publication Date:** May 2016

**Online ISBN:** 9781316218525

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316218525

Like its predecessor, 200 Puzzling Physics Problems, this book is aimed at strengthening students' grasp of the laws of physics by applying them to situations that are practical, and to problems that yield more easily to intuitive insight than to brute-force methods and complex mathematics. The problems are chosen almost exclusively from classical, non-quantum physics, but are no easier for that. They are intriguingly posed in accessible non-technical language, and require readers to select an appropriate analysis framework and decide which branches of physics are involved. The general level of sophistication needed is that of the exceptional school student, the good undergraduate, or the competent graduate student; some physics professors may find some of the more difficult questions challenging. By contrast, the mathematical demands are relatively minimal, and seldom go beyond elementary calculus. This further book of physics problems is not only instructive and challenging, but also enjoyable.

200 Puzzling Physics Problems

**With Hints and Solutions**

P. Gnädig, G. Honyek, K. F. Riley

P. Gnädig, G. Honyek, K. F. Riley

**Print Publication Year:** 2001

**Print ISBN:** 9780521773065

**Online Publication Date:** October 2013

**Online ISBN:** 9780511809804

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511809804

This text will strengthen a student's ability to apply the laws of physics to practical situations and problems that yield more easily to intuitive insight than to complex mathematics. These problems, chosen almost exclusively from classical (non-quantum) physics, are posed in accessible nontechnical language and require the student to select the right framework in which to analyze the situation. The book will be invaluable to undergraduates preparing for "general physics" papers. Some physics professors will even find the more difficult questions challenging. The mathematical prerequisites are minimal and do not go beyond elementary calculus. This intriguing book of physics problems will prove instructive, challenging and fun.

2D Materials

**Properties and Devices**

Edited by Phaedon Avouris, Tony F. Heinz, Tony Low

Edited by Phaedon Avouris, Tony F. Heinz, Tony Low

**Print Publication Year:** 2017

**Print ISBN:** 9781107163713

**Online Publication Date:** June 2017

**Online ISBN:** 9781316681619

**Book DOI:** http://dx.doi.org/10.1017/9781316681619

Learn about the most recent advances in 2D materials with this comprehensive and accessible text. Providing all the necessary materials science and physics background, leading experts discuss the fundamental properties of a wide range of 2D materials, and their potential applications in electronic, optoelectronic and photonic devices. Several important classes of materials are covered, from more established ones such as graphene, hexagonal boron nitride, and transition metal dichalcogenides, to new and emerging materials such as black phosphorus, silicene, and germanene. Readers will gain an in-depth understanding of the electronic structure and optical, thermal, mechanical, vibrational, spin and plasmonic properties of each material, as well as the different techniques that can be used for their synthesis. Presenting a unified perspective on 2D materials, this is an excellent resource for graduate students, researchers and practitioners working in nanotechnology, nanoelectronics, nanophotonics, condensed matter physics, and chemistry.

3-D Seismic Interpretation

M. Bacon, R. Simm, T. Redshaw

M. Bacon, R. Simm, T. Redshaw

**Print Publication Year:** 2003

**Print ISBN:** 9780521792035

**Online Publication Date:** March 2013

**Online ISBN:** 9780511802416

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511802416

This book introduces geophysicists and geologists to the technique of interpreting 3-D seismic data. The topics it covers include basic structural interpretation and map-making; the use of 3-D visualization methods; interpretation of seismic amplitudes; the generation and use of AVO and acoustic impedance datasets; and time-lapse seismic mapping. Written by professional geophysicists with many years of working experience in the oil industry, the book will be indispensable for graduate students, researchers, and new entrants into the petroleum industry.

3-Transposition Groups

Michael Aschbacher

Michael Aschbacher

Cambridge Tracts in Mathematics (No. 124)

**Print Publication Year:** 1996

**Print ISBN:** 9780521571968

**Online Publication Date:** August 2010

**Online ISBN:** 9780511759413

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511759413

In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Part I of this book has minimal prerequisites and could be used as a text for an intermediate level graduate course; parts II and III are aimed at specialists in finite groups.

3264 and All That

**A Second Course in Algebraic Geometry**

David Eisenbud, Joe Harris

David Eisenbud, Joe Harris

**Print Publication Year:** 2016

**Print ISBN:** 9781107017085

**Online Publication Date:** March 2016

**Online ISBN:** 9781139062046

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139062046

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

3D Computer Graphics

**A Mathematical Introduction with OpenGL**

Samuel R. Buss

Samuel R. Buss

**Print Publication Year:** 2003

**Print ISBN:** 9780521821032

**Online Publication Date:** June 2012

**Online ISBN:** 9780511804991

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511804991

This introduction to 3D computer graphics emphasizes fundamentals and the mathematics underlying computer graphics, while also covering programming techniques using OpenGL, a platform-independent graphics programming environment. The minimal prerequisites make it suitable for self-study or for use as an advanced undergraduate or introductory graduate text as the author leads step-by-step from the basics of transformations to advanced topics such as animations and kinematics. Accompanying software, including source code for a ray tracing software package, is available freely from the book's web site.

3D Spectroscopy in Astronomy

**XVII Canary Island Winter School of Astrophysics**

Edited by Evencio Mediavilla, Santiago Arribas, Martin Roth, Jordi Cepa-Nogué, Francisco Sánchez

Edited by Evencio Mediavilla, Santiago Arribas, Martin Roth, Jordi Cepa-Nogué, Francisco Sánchez

Canary Islands Winter School of Astrophysics

**Print Publication Year:** 2010

**Print ISBN:** 9780521895415

**Online Publication Date:** August 2010

**Online ISBN:** 9780511770654

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511770654

Simultaneously storing both spectral and spatial information, 3D spectroscopy offers a new way to tackle astrophysical problems, and opens up new lines of research. Since its inception in the eighties and early nineties, research in this field has grown enormously. Large telescopes all around the world are now equipped with integral field units, and two instruments of the future James Webb Space Telescope will have integral field spectroscopic capabilities. Nowadays, more effort is dedicated to refining techniques for reducing, analyzing and interpreting the data obtained with 3D spectrographs. Containing lectures from the seventeenth Winter School of the Canary Islands Astrophysics Institute, this book explores new 3D spectroscopy techniques and data. A broad and balanced presentation of research in this field, it introduces astronomers to a new generation of instruments, widening the appeal of integral field spectroscopy and helping it become a powerful tool in tackling astrophysical problems.

5G Mobile and Wireless Communications Technology

Edited by Afif Osseiran, Jose F. Monserrat, Patrick Marsch, Foreword by Mischa Dohler, Takehiro Nakamura

Edited by Afif Osseiran, Jose F. Monserrat, Patrick Marsch, Foreword by Mischa Dohler, Takehiro Nakamura

**Print Publication Year:** 2016

**Print ISBN:** 9781107130098

**Online Publication Date:** June 2016

**Online ISBN:** 9781316417744

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316417744

Written by leading experts in 5G research, this book is a comprehensive overview of the current state of 5G. Covering everything from the most likely use cases, spectrum aspects, and a wide range of technology options to potential 5G system architectures, it is an indispensable reference for academics and professionals involved in wireless and mobile communications. Global research efforts are summarised, and key component technologies including D2D, mm-wave communications, massive MIMO, coordinated multi-point, wireless network coding, interference management and spectrum issues are described and explained. The significance of 5G for the automotive, building, energy, and manufacturing economic sectors is addressed, as is the relationship between IoT, machine type communications, and cyber-physical systems. This essential resource equips you with a solid insight into the nature, impact and opportunities of 5G.

Kiran S. Kedlaya

Cambridge Studies in Advanced Mathematics (No. 125)

**Print Publication Year:** 2010

**Print ISBN:** 9780521768795

**Online Publication Date:** August 2012

**Online ISBN:** 9780511750922

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511750922

Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.

A Basic Course in Measure and Probability

**Theory for Applications**

Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras

Ross Leadbetter, Stamatis Cambanis, Vladas Pipiras

**Print Publication Year:** 2014

**Print ISBN:** 9781107020405

**Online Publication Date:** June 2014

**Online ISBN:** 9781139103947

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139103947

Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many years, making the book perfect for a two-term course or for self-study. It provides a concise introduction that covers all of the measure theory and probability most useful for statisticians, including Lebesgue integration, limit theorems in probability, martingales, and some theory of stochastic processes. Readers can test their understanding of the material through the 300 exercises provided. The book is especially useful for graduate students in statistics and related fields of application (biostatistics, econometrics, finance, meteorology, machine learning, and so on) who want to shore up their mathematical foundation. The authors establish common ground for students of varied interests which will serve as a firm 'take-off point' for them as they specialize in areas that exploit mathematical machinery.

A Bibliography of the Writings of Dr William Harvey

**1578–1657**

Geoffrey Keynes

Geoffrey Keynes

**Print Publication Year:** 2013

**Print ISBN:** 9781107623194

**Online Publication Date:** June 2016

**Online ISBN:** 9781316529959

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316529959

First published in 1953, as the second edition of a 1928 original, this book supplies a detailed bibliography of Dr William Harvey, who described the workings of the circulatory system in his revolutionary 1628 treatise, De Motu Cordis. Keynes notes the various editions and translations of Harvey's three key works as well as miscellaneous writings and anthologies and their locations in libraries around the world. This book will be of value to anyone with an interest in Harvey.

A Biogeoscience Approach to Ecosystems

Edited by Edward A. Johnson, Yvonne E. Martin

Edited by Edward A. Johnson, Yvonne E. Martin

**Print Publication Year:** 2016

**Print ISBN:** 9781107046702

**Online Publication Date:** October 2016

**Online ISBN:** 9781107110632

**Book DOI:** http://dx.doi.org/10.1017/CBO9781107110632

Biogeoscience is a rapidly growing interdisciplinary field that aims to bring together biological and geophysical processes. This book builds an enhanced understanding of ecosystems by focusing on the integrative connections between ecological processes and the geosphere, hydrosphere and atmosphere. Each chapter provides studies by researchers who have contributed to the biogeoscience synthesis, presenting the latest research on the relationships between ecological processes, such as conservation laws and heat and transport processes, and geophysical processes, such as hillslope, fluvial and aeolian geomorphology, and hydrology. Highlighting the value of biogeoscience as an approach to understand ecosystems, this is an ideal resource for researchers and students in both ecology and the physical sciences.

A Biostatistics Toolbox for Data Analysis

Steve Selvin

Steve Selvin

**Print Publication Year:** 2015

**Print ISBN:** 9781107113084

**Online Publication Date:** November 2015

**Online ISBN:** 9781316286159

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316286159

This sophisticated package of statistical methods is for advanced master's (MPH) and PhD students in public health and epidemiology who are involved in the analysis of data. It makes the link from statistical theory to data analysis, focusing on the methods and data types most common in public health and related fields. Like most toolboxes, the statistical tools in this book are organized into sections with similar objectives. Unlike most toolboxes, however, these tools are accompanied by complete instructions, explanations, detailed examples, and advice on relevant issues and potential pitfalls - conveying skills, intuition, and experience. The only prerequisite is a first-year statistics course and familiarity with a computing package such as R, Stata, SPSS, or SAS. Though the book is not tied to a particular computing language, its figures and analyses were all created using R. Relevant R code, data sets, and links to public data sets are available from www.cambridge.org/9781107113084.

A Breviary of Seismic Tomography

**Imaging the Interior of the Earth and Sun**

Guust Nolet

Guust Nolet

**Print Publication Year:** 2008

**Print ISBN:** 9780521882446

**Online Publication Date:** January 2011

**Online ISBN:** 9780511984709

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511984709

This is the first textbook to cover the essential aspects of the topic at a level accessible to students. While focusing on applications in solid earth geophysics, the book also uniquely includes excursions into helioseismology, thereby highlighting the strong affinity between the two fields. The book provides a comprehensive introduction to seismic tomography, including the basic theory of wave propagation, the ray and Born approximations required for interpretation of amplitudes, and travel times and phases. It considers observational features while also providing practical recommendations for implementing numerical models. Written by one of the leaders in the field, and containing numerous student exercises, this textbook is appropriate for advanced undergraduate and graduate courses. It is also an invaluable guide for seismology research practitioners in geophysics and astronomy. Solutions to the exercises and accompanying tomographic software and documentation can be accessed online from www.cambridge.org/9780521882446.

A Brief Guide to Algebraic Number Theory

H. P. F. Swinnerton-Dyer

H. P. F. Swinnerton-Dyer

London Mathematical Society Student Texts (No. 50)

**Print Publication Year:** 2001

**Print ISBN:** 9780521802925

**Online Publication Date:** June 2012

**Online ISBN:** 9781139173360

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139173360

This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.

A Certain Uncertainty

**Nature's Random Ways**

Mark P. Silverman

Mark P. Silverman

**Print Publication Year:** 2014

**Print ISBN:** 9781107032811

**Online Publication Date:** August 2014

**Online ISBN:** 9781139507370

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139507370

Based around a series of real-life scenarios, this engaging introduction to statistical reasoning will teach you how to apply powerful statistical, qualitative and probabilistic tools in a technical context. From analysis of electricity bills, baseball statistics, and stock market fluctuations, through to profound questions about physics of fermions and bosons, decaying nuclei, and climate change, each chapter introduces relevant physical, statistical and mathematical principles step-by-step in an engaging narrative style, helping to develop practical proficiency in the use of probability and statistical reasoning. With numerous illustrations making it easy to focus on the most important information, this insightful book is perfect for students and researchers of any discipline interested in the interwoven tapestry of probability, statistics, and physics.

A Compendium of Partial Differential Equation Models

**Method of Lines Analysis with Matlab**

William E. Schiesser, Graham W. Griffiths

William E. Schiesser, Graham W. Griffiths

**Print Publication Year:** 2009

**Print ISBN:** 9780521519861

**Online Publication Date:** October 2009

**Online ISBN:** 9780511576270

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511576270

A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs in which the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and thus makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code as related to the associated equations of the PDE model.

A Compositional Approach to Performance Modelling

Jane Hillston

Jane Hillston

Distinguished Dissertations in Computer Science (No. 12)

**Print Publication Year:** 1996

**Print ISBN:** 9780521571890

**Online Publication Date:** November 2009

**Online ISBN:** 9780511569951

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511569951

This is the first book presenting a stochastic extension of process algebra, PEPA; this is shown to be suitable for specifying a Markov process, which can then be applied to performance modelling. The method, which is illustrated with case studies taken from the area of communication systems, can readily be used to construct a variety of models that can be analysed using standard numerical techniques. One of the major advantages of PEPA over the standard methods for specifying stochastic performance models is the inherent apparatus for reasoning about the structure and behaviour of models. In the later chapters this apparatus is exploited to define four equivalence relations over PEPA components. Each of these notions of equivalence has intrinsic interest from a process algebra perspective. However, they are also demonstrated to be useful in a performance modelling context. To conclude the book, a section has been added surveying recent results in the area and discussing open questions.

A Comprehensive Course in Number Theory

Alan Baker

Alan Baker

**Print Publication Year:** 2012

**Print ISBN:** 9781107019010

**Online Publication Date:** November 2012

**Online ISBN:** 9781139093835

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139093835

Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.

A Computational Approach to Statistical Arguments in Ecology and Evolution

George F. Estabrook

George F. Estabrook

**Print Publication Year:** 2011

**Print ISBN:** 9781107004306

**Online Publication Date:** June 2012

**Online ISBN:** 9780511783708

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511783708

Scientists need statistics. Increasingly this is accomplished using computational approaches. Freeing readers from the constraints, mysterious formulas and sophisticated mathematics of classical statistics, this book is ideal for researchers who want to take control of their own statistical arguments. It demonstrates how to use spreadsheet macros to calculate the probability distribution predicted for any statistic by any hypothesis. This enables readers to use anything that can be calculated (or observed) from their data as a test statistic and hypothesize any probabilistic mechanism that can generate data sets similar in structure to the one observed. A wide range of natural examples drawn from ecology, evolution, anthropology, palaeontology and related fields give valuable insights into the application of the described techniques, while complete example macros and useful procedures demonstrate the methods in action and provide starting points for readers to use or modify in their own research.

A Computational Introduction to Number Theory and Algebra

Victor Shoup

Victor Shoup

**Print Publication Year:** 2005

**Print ISBN:** 9780521851541

**Online Publication Date:** June 2012

**Online ISBN:** 9781139165464

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139165464

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch. Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

A Computational Introduction to Number Theory and Algebra

**Second edition**

Victor Shoup

Victor Shoup

**Print Publication Year:** 2008

**Print ISBN:** 9780521516440

**Online Publication Date:** February 2015

**Online ISBN:** 9780511814549

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511814549

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

A Concise Introduction to Econometrics

**An Intuitive Guide**

Philip Hans Franses

Philip Hans Franses

**Print Publication Year:** 2002

**Print ISBN:** 9780521817691

**Online Publication Date:** September 2009

**Online ISBN:** 9780511493133

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511493133

This book is an ideal introduction for beginning students of econometrics that assumes only basic familiarity with matrix algebra and calculus. It features practical questions which can be answered using econometric methods and models. Focusing on a limited number of the most basic and widely used methods, the book reviews the basics of econometrics before concluding with a number of recent empirical case studies. The volume is an intuitive illustration of what econometricians do when faced with practical questions.

A Concise Introduction to the Theory of Numbers

Alan Baker

Alan Baker

**Print Publication Year:** 1984

**Print ISBN:** 9780521243834

**Online Publication Date:** June 2012

**Online ISBN:** 9781139171601

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139171601

Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner. Though most of the text is classical in content, he includes many guides to further study which will stimulate the reader to delve into the great wealth of literature devoted to the subject. The book is based on Professor Baker's lectures given at the University of Cambridge and is intended for undergraduate students of mathematics.

A Concise Text on Advanced Linear Algebra

Yisong Yang

Yisong Yang

**Print Publication Year:** 2014

**Print ISBN:** 9781107087514

**Online Publication Date:** December 2014

**Online ISBN:** 9781316103845

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316103845

This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley–Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.

A Continent Revealed

**The European Geotraverse, Structure and Dynamic Evolution**

Edited by D. J. Blundell, R. Freeman, Stephan Mueller

Edited by D. J. Blundell, R. Freeman, Stephan Mueller

**Print Publication Year:** 1992

**Print ISBN:** 9780521429481

**Online Publication Date:** November 2009

**Online ISBN:** 9780511608261

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511608261

A Continent Revealed presents the findings of the European Geotraverse (EGT)--a unique study of the tectonic evolution of the continent of Europe and the first comprehensive cross section of the continental lithosphere. The project produced maps and geologic profiles, along a 250 kilometer wide swath stretching 4600 kilometers from Scandinavia to the Mediterranean, which form a three dimensional picture of the structure, properties, and composition of the continental lithosphere of Europe in an atlas format. Many of the data that comprise the maps are also presented on an compact disc (ROM). The discussion volume, the maps, and a booklet containing gravity, electric, and magnetic field data constitute the complete boxed set. The paperback discussion volume is also available separately.

A Continuous Time Econometric Model of the United Kingdom with Stochastic Trends

Albert Rex Bergstrom, Khalid Ben Nowman

Albert Rex Bergstrom, Khalid Ben Nowman

**Print Publication Year:** 2007

**Print ISBN:** 9780521875493

**Online Publication Date:** March 2010

**Online ISBN:** 9780511664687

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511664687

Over the last thirty years there has been extensive use of continuous time econometric methods in macroeconomic modelling. This monograph presents a continuous time macroeconometric model of the United Kingdom incorporating stochastic trends. Its development represents a major step forward in continuous time macroeconomic modelling. The book describes the model in detail and, like earlier models, it is designed in such a way as to permit a rigorous mathematical analysis of its steady-state and stability properties, thus providing a valuable check on the capacity of the model to generate plausible long-run behaviour. The model is estimated using newly developed exact Gaussian estimation methods for continuous time econometric models incorporating unobservable stochastic trends. The book also includes discussion of the application of the model to dynamic analysis and forecasting.

A Course in Financial Calculus

Alison Etheridge

Alison Etheridge

**Print Publication Year:** 2002

**Print ISBN:** 9780521813853

**Online Publication Date:** June 2012

**Online ISBN:** 9780511810107

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511810107

This text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus. The Black-Scholes pricing formula is first derived in the simplest financial context. Subsequent chapters are devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A large number of exercises and examples illustrate how the methods and concepts can be applied to realistic financial questions.

A Course in Finite Group Representation Theory

Peter Webb

Peter Webb

Cambridge Studies in Advanced Mathematics

**Print Publication Year:** 2016

**Print ISBN:** 9781107162396

**Online Publication Date:** August 2016

**Online ISBN:** 9781316677216

**Book DOI:** http://dx.doi.org/10.1017/CBO9781316677216

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

A Course in Mathematical Analysis

**Volume 1**
**, Foundations and Elementary Real Analysis**

D. J. H. Garling

D. J. H. Garling

**Print Publication Year:** 2013

**Print ISBN:** 9781107032026

**Online Publication Date:** May 2013

**Online ISBN:** 9781139424493

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139424493

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.

A Course in Mathematical Analysis

**Volume 2**
**, Metric and Topological Spaces, Functions of a Vector Variable**

D. J. H. Garling

D. J. H. Garling

**Print Publication Year:** 2014

**Print ISBN:** 9781107032033

**Online Publication Date:** June 2014

**Online ISBN:** 9781139424509

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139424509

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume III covers complex analysis and the theory of measure and integration.

A Course in Mathematical Analysis

**Volume 3**
**, Complex Analysis, Measure and Integration**

D. J. H. Garling

D. J. H. Garling

**Print Publication Year:** 2014

**Print ISBN:** 9781107032040

**Online Publication Date:** June 2014

**Online ISBN:** 9781139424516

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139424516

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. Volume II goes on to consider metric and topological spaces. This third volume covers complex analysis and the theory of measure and integration.

A Course in Mathematics for Students of Physics

**Volume 1**

Paul Bamberg, Shlomo Sternberg

Paul Bamberg, Shlomo Sternberg

**Print Publication Year:** 1988

**Print ISBN:** 9780521250177

**Online Publication Date:** August 2013

**Online ISBN:** 9781139171670

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139171670

This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application.

A Course in Model Theory

Katrin Tent, Martin Ziegler

Katrin Tent, Martin Ziegler

Lecture Notes in Logic (No. 40)

**Print Publication Year:** 2012

**Print ISBN:** 9780521763240

**Online Publication Date:** June 2012

**Online ISBN:** 9781139015417

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139015417

This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.

A Course in Modern Analysis and its Applications

Graeme L. Cohen

Graeme L. Cohen

Australian Mathematical Society Lecture Series (No. 17)

**Print Publication Year:** 2003

**Print ISBN:** 9780521819961

**Online Publication Date:** July 2010

**Online ISBN:** 9780511755125

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511755125

Designed for one-semester courses at the senior undergraduate level, this book is written for mathematics students and teachers, as well as others needing to learn mathematical analysis for engineering, physics, biology or finance. Nominal divisions between pure and applied mathematics have been merged to provide easier access. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

A Course in Modern Mathematical Physics

**Groups, Hilbert Space and Differential Geometry**

Peter Szekeres

Peter Szekeres

**Print Publication Year:** 2004

**Print ISBN:** 9780521829601

**Online Publication Date:** September 2012

**Online ISBN:** 9780511607066

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511607066

Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert spaces. The book also includes exercises and proofed examples to test the students' understanding of the various concepts, as well as to extend the text's themes.

A Course of Modern Analysis

**Fourth Edition**

E. T. Whittaker, G. N. Watson

E. T. Whittaker, G. N. Watson

Cambridge Mathematical Library

**Print Publication Year:** 1996

**Print ISBN:** 9780521588072

**Online Publication Date:** September 2013

**Online ISBN:** 9780511608759

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511608759

This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

A Course of Pure Mathematics

**Tenth edition**

G. H. Hardy, Foreword by T. W. Körner

G. H. Hardy, Foreword by T. W. Körner

Cambridge Mathematical Library

**Print Publication Year:** 2008

**Print ISBN:** 9780521720557

**Online Publication Date:** June 2012

**Online ISBN:** 9780511989469

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511989469

Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in mathematics as well-known as Hardy’s Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigor of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Hardy’s presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.

A Course on Set Theory

Ernest Schimmerling

Ernest Schimmerling

**Print Publication Year:** 2011

**Print ISBN:** 9781107008175

**Online Publication Date:** June 2012

**Online ISBN:** 9780511996351

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511996351

Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.

A Cryptography Primer

**Secrets and Promises**

Philip N. Klein

Philip N. Klein

**Print Publication Year:** 2014

**Print ISBN:** 9781107017887

**Online Publication Date:** July 2014

**Online ISBN:** 9781139084772

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139084772

Cryptography has been employed in war and diplomacy from the time of Julius Caesar. In our Internet age, cryptography's most widespread application may be for commerce, from protecting the security of electronic transfers to guarding communication from industrial espionage. This accessible introduction for undergraduates explains the cryptographic protocols for achieving privacy of communication and the use of digital signatures for certifying the validity, integrity, and origin of a message, document, or program. Rather than offering a how-to on configuring web browsers and e-mail programs, the author provides a guide to the principles and elementary mathematics underlying modern cryptography, giving readers a look under the hood for security techniques and the reasons they are thought to be secure.

A Cybernetic View of Biological Growth

**The Maia Hypothesis**

Tony Stebbing

Tony Stebbing

**Print Publication Year:** 2010

**Print ISBN:** 9780521199636

**Online Publication Date:** January 2011

**Online ISBN:** 9780511933813

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511933813

Maia is the story of an idea, and its development into a working hypothesis, that provides a cybernetic interpretation of how growth is controlled. Growth at the lowest level is controlled by regulating the rate of growth. Access to the output of control mechanisms is provided by perturbing the growing organism, and then filtering out the consequences to growth rate. The output of the growth control mechanism is then accessible for interpretation and modeling. Perturbation experiments have been used to provide interpretations of hormesis, the neutralization of inhibitory load and acquired tolerance to toxic inhibition, and catch-up growth. The account begins with an introduction to cybernetics covering the regulation of growth and population increase in animals and man and describes this new approach to access the control of growth processes. This book is suitable for postgraduate students of biological cybernetics and researchers of biological growth, endocrinology, population ecology and toxicology.

A Designer's Guide to Asynchronous VLSI

Peter A. Beerel, Recep O. Ozdag, Marcos Ferretti

Peter A. Beerel, Recep O. Ozdag, Marcos Ferretti

**Print Publication Year:** 2010

**Print ISBN:** 9780521872447

**Online Publication Date:** February 2010

**Online ISBN:** 9780511674730

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511674730

Bypass the limitations of synchronous design and create low power, higher performance circuits with shorter design times using this practical guide to asynchronous design. The fundamentals of asynchronous design are covered, as is a large variety of design styles, while the emphasis throughout is on practical techniques and real-world applications.

A Distributed Pi-Calculus

Matthew Hennessy

Matthew Hennessy

**Print Publication Year:** 2007

**Print ISBN:** 9780521873307

**Online Publication Date:** August 2012

**Online ISBN:** 9780511611063

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511611063

Distributed systems are fast becoming the norm in computer science. Formal mathematical models and theories of distributed behavior are needed in order to understand them. This book proposes a distributed pi-calculus called Dpi, for describing the behavior of mobile agents in a distributed world. It is based on an existing formal language, the pi-calculus, to which it adds a network layer and a primitive migration construct. A mathematical theory of the behavior of these distributed systems is developed, in which the presence of types plays a major role. It is also shown how in principle this theory can be used to develop verification techniques for guaranteeing the behavior of distributed agents. The text is accessible to computer scientists with a minimal background in discrete mathematics. It contains an elementary account of the pi-calculus, and the associated theory of bisimulations. It also develops the type theory required by Dpi from first principles.

A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory

Bangming Deng, Jie Du, Qiang Fu

Bangming Deng, Jie Du, Qiang Fu

London Mathematical Society Lecture Note Series (No. 401)

**Print Publication Year:** 2012

**Print ISBN:** 9781107608603

**Online Publication Date:** January 2013

**Online ISBN:** 9781139226660

**Book DOI:** http://dx.doi.org/10.1017/CBO9781139226660

The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.

A First Course in Algebraic Topology

Czes Kosniowski

Czes Kosniowski

**Print Publication Year:** 1980

**Print ISBN:** 9780521231954

**Online Publication Date:** February 2010

**Online ISBN:** 9780511569296

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511569296

This self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is). The book has emerged from courses given at the University of Newcastle-upon-Tyne to senior undergraduates and beginning postgraduates. It has been written at a level which will enable the reader to use it for self-study as well as a course book. The approach is leisurely and a geometric flavour is evident throughout. The many illustrations and over 350 exercises will prove invaluable as a teaching aid. This account will be welcomed by advanced students of pure mathematics at colleges and universities.

A First Course in Combinatorial Optimization

Jon Lee

Jon Lee

Cambridge Texts in Applied Mathematics (No. 36)

**Print Publication Year:** 2004

**Print ISBN:** 9780521811514

**Online Publication Date:** January 2010

**Online ISBN:** 9780511616655

**Book DOI:** http://dx.doi.org/10.1017/CBO9780511616655

Jon Lee focuses on key mathematical ideas leading to useful models and algorithms, rather than on data structures and implementation details, in this introductory graduate-level text for students of operations research, mathematics, and computer science. The viewpoint is polyhedral, and Lee also uses matroids as a unifying idea. Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study.

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