15 minute read
Mathematics
Spatial Analysis in Field Primatology Applying GIS at Varying Scales
Francine L. Dolins | University of Michigan, Dearborn A guide to using geographic information systems (GIS) to research how primates use space, a question central to primate behavioral ecology. Covering cutting-edge methodology along with practical guidance on its use, the volume features research-based chapters on topics including travel routes, the impact of logging and the use of GIS in conservation. • The first volume specifically for primatologists on the application of
GIS, with practical guidance to encourage use of the technology, such as advice on the best field transmitters • Research-based chapters show how many of the leading spatial ecologists apply this technology to address central questions in primatology in diverse circumstances and research projects • Shows how GIS can help to assess the impact of logging, mining and hunting, and help to inform primate conservation strategies November 2020 247 x 174 mm 459pp 95 b/w illus. 24 colour illus. 42 tables 978-1-107-06230-6 Hardback £89.99 / US$115.00 P 978-1-107-69430-9 Paperback £39.99 / US$49.99 P
Patterns of Human Growth
Third edition Barry Bogin | Loughborough University This completely revised third edition covers the evolution of the human growth pattern, the biocultural factors that direct its expression, and the intrinsic and extrinsic factors that regulate individual development. It is focused towards students in anthropology, economics, psychology, public health, epidemiology, paediatrics and education. • Approaches human growth from an anthropological and evolutionary perspective, offering insights into human development that aren’t merely clinical and functional • Explains the latest statistical methods for analysing growth with userfriendly examples from the author’s research, engaging students in growth analysis • Introduces new hypotheses about how people grow, providing readers with the most up-to-date ideas and theories in the field
Cambridge Studies in Biological and Evolutionary Anthropology
November 2020 244 x 170 mm c.500pp 978-1-108-43448-5 Paperback £39.99 / US$49.99 P
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The Biological Universe Life in the Milky Way and Beyond
Wallace Arthur | National University of Ireland, Galway This book is for everyone with an interest in whether there is extraterrestrial life. Recent discoveries of planets beyond the solar system (more than 4000 of them) suggest that the question is not ‘whether?’ but ‘where?’. This book enables general readers to understand current endeavours to answer this question and the related one of ‘what kind?’ • Estimates the likely extent of the Biological Universe (all life-forms everywhere) • Paints a broad-brush picture of the current state of knowledge about exoplanets and the possible existence of life on many of them; and provides a series of key hypotheses about such life • Discusses current and planned space telescopes that will lead to discoveries in the next couple of decades September 2020 228 x 152 mm 358pp 21 b/w illus. 978-1-108-83694-4 Hardback £20.00 / US$24.95 T
Biological Evolution An Introduction
Mike Cassidy | University of Durham Aimed at undergraduate students in the biological sciences, this book provides a narrative and cohesive account of biological evolution. It encompasses both the ‘micro’ details together with the ‘bigger picture’, offering readers an accessible and up-to-date introduction to the subject. • Provides a more narrative account of biological evolution, offering students an overview of key trends and patterns in the study of the field • Includes sections on Darwin and nineteenth century contemporaries, alongside studies of big data and current religious and philosophical impacts, highlighting the historical and contemporary relevance of the subject • Communicates ideas and information in an enjoyable and effective way, benefiting students who are looking for an introduction to the topic Contents: Preface; Acknowledgements; 1. Biological evolution: the beginnings of the story; 2. Reviewing the evidence for evolution; 3. Genetic variation within populations; 4. Natural selection and adaptive change; 5. Evolution and development; 6. The origins of biodiversity; 7. Taxonomy and the diversity of life; 8. The history and origins of life on Earth; 9. Molecules and evolution; 10. Human evolution; 11. Trends and patterns in evolution; 12. Questions, debate and controversy; References; Index. November 2020 244 x 170 mm 250pp 978-0-521-81268-9 Hardback c. £79.99 / c. US$105.00 X 978-0-521-01205-8 Paperback c. £29.99 / c. US$39.99 X
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Large Cardinals, Determinacy and Other Topics The Cabal Seminar, Volume IV
Volume 4 Alexander S. Kechris | California Institute of Technology Large Cardinals, Determinacy and Other Topics is the last in a series of four books presenting the seminal papers from the Caltech-UCLA ‘Cabal Seminar’ with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. • Includes updated/revised material from the original Cabal Seminars volume • New, unpublished survey articles put the historical papers into context • Now includes uniform and modern notation to make the book more accessible to the reader
Lecture Notes in Logic, 49
June 2020 228 x 152 mm 270pp 2 tables 978-1-107-18299-8 Hardback £95.00 / US$130.00 C
A Comparison Process for Mouse Pairs
John R. Steel | University of California, Berkeley This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. It also contains a good deal of background material, some of it unpublished folklore, making it an accessible introduction to the higher reaches of inner model theory. • Proves important new theorems in inner model theory for large cardinal hypotheses in set theory • Includes a good deal of background material, references to the wider literature, and an introductory essay placing the new results in context • The first accessible introduction to the higher reaches of inner model theory
Lecture Notes in Logic, 51
October 2020 228 x 152 mm c.333pp 978-1-108-84068-2 Hardback c. £95.00 / c. US$130.00 C
Fast Track to Forcing
Mirna Džamonja | Institute for the History and Philosophy of Science and Technology, Paris This book provides a quick yet detailed introduction to set theory and forcing, building the reader’s intuition about it as well as rigorousness. Part II discusses contemporary issues in the theory of forcing, including previously unpublished results and open questions. • A sleek introduction to the theory of forcing, which allows even those who do not have any background in set theory to understand the subject • Devotes the second part of the book to contemporary topics in the theory of forcing, including open questions • Includes previously unpublished results in the theory of forcing
London Mathematical Society Student Texts, 98
October 2020 228 x 152 mm c.200pp 978-1-108-42015-0 Hardback £69.99 / US$89.99 P 978-1-108-41314-5 Paperback £25.99 / US$34.99 P
The Cabal Seminar Volumes I–IV
Edited by Alexander S. Kechris | California Institute of Technology This series of four books presents the seminal papers from the Caltech-UCLA ‘Cabal Seminar’ together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. • Includes updated/revised material from the original Cabal Seminars volume • New, unpublished survey articles put the historical papers into context • Now includes uniform and modern notation to make the material more accessible to the reader
Lecture Notes in Logic
August 2020 228 x 152 mm c.1875pp 34 b/w illus. 2 tables 978-1-108-92022-3 4 Volume Hardback Set £250.00 / US$325.00 C
Matrix Positivity
Charles R. Johnson | College of William and Mary, Virginia This comprehensive reference, for mathematical, engineering and social scientists, methodically discusses matrix positivity classes. The matrices studied have direct applications in data analysis, differential equations, mathematical programming, computational complexity, economic models, population biology, dynamical systems, control theory, etc. • Covers several new topics in matrix classes that have not appeared in book form previously • Unified coverage presented by the leaders in the field of matrix positivity • Matrix classes are compared and interrelated, and their theory is developed in a natural order, which will lend to a well-rounded understanding of the theory, as well as its historical and scientific development
Cambridge Tracts in Mathematics, 221
September 2020 228 x 152 mm c.300pp 978-1-108-47871-7 Hardback £95.00 / US$125.00 C
Edited by Howard S. Cohl | National Institute of Standards and Technology This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefully edited into a coherent whole, with examples and exercises. • Brings together applications of orthogonal polynomials to different areas of mathematics • Contains important, up-to-date material not currently available in book form • Highlights the diversity of the field
London Mathematical Society Lecture Note Series, 464
September 2020 228 x 152 mm c.350pp 978-1-108-82159-9 Paperback £55.00 / US$90.00 C
Modular Theory in Operator Algebras
Serban Valentin Strătilă | Institute of Mathematics of the Romanian Academy, Romania Catering to the needs of students of mathematics and physics, and researchers interested in operator algebras, noncommutative geometry and free probability, this book discusses continuous and discrete decomposition of factors of type III and all the necessary results. • Covers H. Kosaki’s extension of the index to arbitrary factors and F.
Rădulescu’s examples of non-hyperfinite factors of type IIIλ, λ ∈ (0,1) and of type III1 • Explains the group-measure space construction in detail • Discusses the main aspects of modular theory with complete proofs • Makes the theory accessible to readers having elementary training in operator algebras
Cambridge IISc Series
November 2020 244 x 170 mm c.550pp 978-1-108-48960-7 Hardback £120.00 / US$155.00 C
Bounded Gaps Between Primes The Epic Breakthroughs of the Early TwentyFirst Century
Kevin Broughan | University of Waikato, New Zealand This book records in considerable detail the remarkable bounded prime gaps breakthroughs of recent decades, including Polymath8’s best result. The material is suitable for graduate students and any mathematician curious about developments in the field. The book is supported by a linked and freely-available package of computer programs. • Lays out a path from the twentieth century to the best results of the twenty-first century, allowing readers to dip in and out • Gives introductory and supporting background proofs and results including Bessel functions, compact operators, complex analysis and
Weil’s theorem for curves • Includes software-engineered and documented computer programs so readers can attempt to improve the best results, for example by changing the code December 2020 244 x 170 mm c.450pp 978-1-108-83674-6 Hardback c. £90.00 / c. US$120.00 P 978-1-108-79920-1 Paperback c. £35.00 / c. US$49.99 P
Volume 2: Multivariable Special Functions Edited by Tom H. Koornwinder | Universiteit van Amsterdam The Encyclopedia of Special Functions provides an extensive update of the Bateman Manuscript Project. The three volumes will be indispensable for all scientists who use special functions in their research. Volume 2 provides detailed and up-to-date information on multivariable special functions. • A necessary update of the Bateman Manuscript Project for the twentyfirst century • Gives an encyclopedic survey of multivariable special functions, providing an excellent starting point for readers who need guidance to the scattered literature • Emphasizes the connections between multivariable special functions and other fields, in particular, Lie theory and mathematical physics September 2020 247 x 174 mm 433pp 17 b/w illus. 6 tables 978-1-107-00373-6 Hardback £59.99 / US$79.99 P
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Potential Theory and Geometry on Lie Groups
N. Th. Varopoulos | Université de Paris VI (Pierre et Marie Curie) This book provides a complete and reasonably self-contained account of a new classification of connected Lie groups into two classes. Background material is introduced gradually to familiarise readers with the necessary ideas. A large number of accessible open problems will inspire students to explore further. • Introduces a new approach to the classification of Lie groups • Provides the necessary background material on theory of currents and random walk theory, for readers with no prior knowledge of these areas • Contains numerous open problems to inspire further development
New Mathematical Monographs, 38
October 2019 228 x 152 mm 611pp 20 b/w illus. 130 exercises 978-1-107-03649-9 Hardback £135.00 / US$175.00 C
Generators of Markov Chains From a Walk in the Interior to a Dance on the Boundary
Adam Bobrowski | Lublin University of Technology Suitable for beginning graduate students, this book discusses the theory of Markov chains, drawing on the works of Kolmogorov and Feller, and bringing the tools of functional analysis into play in a way that is not done elsewhere. The author uses numerous examples and illustrations to demonstrate the theory. • Takes a much simpler approach than the existing literature • Encourages the reader to discover the facts for themselves by examining examples before learning the theorem • Contains unusual, fascinating examples of Markov chains, gathered from the works of Blackwell, Feller, Kolmogorov, Kendall, Lévy and
Reuter
Cambridge Studies in Advanced Mathematics, 190
November 2020 228 x 152 mm c.250pp 10 b/w illus. 3 colour illus. 45 exercises 978-1-108-49579-0 Hardback £44.99 / US$59.99 P
Singular Intersection Homology
Greg Friedman | Texas Christian University This is a comprehensive, expository introduction to intersection homology, an important modern research area in the mathematical field of topology. The book is written to be accessible to graduate students in topology and researchers from other fields, and is suitable both as an introduction and as a thorough reference. • Contains brand new research and results, bringing the reader right up to date • Works as a reference for classical material, including detailed descriptions that are difficult to find elsewhere • Provides a self-contained introduction to less standard background material, serving as a one-stop shop for the reader
New Mathematical Monographs, 33
September 2020 244 x 170 mm 869pp 61 b/w illus. 978-1-107-15074-4 Hardback £125.00 / US$175.00 C
Variations on a Theme of Borel An Essay on the Role of the Fundamental Group in Rigidity
Shmuel Weinberger | University of Chicago Shmuel Weinberger describes here analogies between geometric topology, differential geometry, group theory, global analysis, and noncommutative geometry. He develops deep tools in a setting where they have immediate application. The connections between these fields enrich each and shed light on one another. • Introduces tools from a variety of fields, useful to students and researchers in topology, geometry, operator theory, and geometric group theory • Uses both true and false variations on the conjecture, to gain a deeper understanding of it • Makes much more concrete an area where recent work has been expressed very abstractly
Cambridge Tracts in Mathematics, 213
December 2020 228 x 152 mm 351pp 978-1-107-14259-6 Hardback £95.00 / US$125.00 C
Assouad Dimension and Fractal Geometry
Jonathan M. Fraser | University of St Andrews, Scotland This book is the first thorough treatment of the Assouad dimension in fractal geometry. Aimed at researchers and graduate students, it will have broad appeal among pure mathematicians due to its discussion of the Assouad dimension’s many applications to number theory, dynamical systems, harmonic analysis, and probability theory. • The first thorough treatment of the Assouad dimension in the context of fractal geometry • Provides a systematic study using consistent notation of the many variants of the Assouad dimension • Discusses several key applications to other fields: number theory, dynamical systems, harmonic analysis, and probability theory
Cambridge Tracts in Mathematics, 222
November 2020 228 x 152 mm c.200pp 978-1-108-47865-6 Hardback £59.99 / US$79.99 P
Differential Geometry in the Large
Edited by Owen Dearricott | La Trobe University, Australia A comprehensive tour across differential geometry, geometric analysis and differential topology, this graduate-level text touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry. A joy to the expert and novice alike. • Treats very recent developments in differential geometry, geometric analysis and differential topology • High-profile contributors cover an extraordinary breadth of topics in one volume • Clear exposition discussing recent, relevant results
London Mathematical Society Lecture Note Series, 463
October 2020 228 x 152 mm c.396pp 978-1-108-81281-8 Paperback £60.00 / US$99.00 C
Partial Differential Equations Classical Theory with a Modern Touch
A. K. Nandakumaran | Indian Institute of Science, Bangalore An excellent toolkit for senior undergraduate and graduate students, this book presents the qualitative properties of solutions, beside the representation formulae, of the three important equations of mathematical physics – Laplace and Poisson equations, heat or diffusion equation, and wave equations in one and more space dimensions. • Highlights the importance of studying the equations outside the realm of classical solutions • Separate chapters on advanced topics such as the Hamilton-Jacobi equation and conservation laws • Explains the interplay between geometry and analysis in the existence and uniqueness of solutions in the treatment of first order equations
Cambridge IISc Series
September 2020 244 x 170 mm c.250pp 978-1-108-83980-8 Hardback £59.99 / US$79.99 P
Thinking Probabilistically Stochastic Processes, Disordered Systems, and their Applications
Ariel Amir | Harvard University, Massachusetts Assuming only an undergraduate-level background in mathematics, this book explains the power of thinking probabilistically through a diverse set of applications drawn from science. It covers a wide range of topics never before discussed together in a unified fashion while keeping technicalities to a minimum. • Explains the power of probability theory both as a conceptual framework and as a tool across mathematics and physics • Avoids using unnecessary technicalities, keeping the mathematical prerequisites to a minimum • Contains numerous and diverse examples of interdisciplinary applications of probability theory November 2020 244 x 170 mm c.200pp 978-1-108-47952-3 Hardback £79.99 / US$105.00 P 978-1-108-78998-1 Paperback £39.99 / US$49.99 P
The Fluid Dynamics of Cell Motility
Eric Lauga | University of Cambridge Fluid dynamics plays a crucial role in many cellular processes, for example the locomotion of cells such as bacteria and spermatozoa. This textbook details the mathematical modelling necessary to understand cell motility in fluids, with in-depth explanations suitable for beginning graduate students and researchers new to the field. • A case study in interdisciplinary modelling, showing how experiments from biology can be used to motivate mathematical modelling and how modelling can explain biological observations • Explains all steps of the mathematical derivations in detail and uses physical intuition to interpret mathematical results, making the book accessible to students • Based on courses taught over several years, it contains more than 90 exercises, suitable for use as homework assignments or exam questions
Cambridge Texts in Applied Mathematics, 62
November 2020 247 x 174 mm 410pp 78 b/w illus. 95 exercises 978-1-107-17465-8 Hardback £79.99 / US$110.00 P 978-1-316-62670-2 Paperback £39.99 / US$52.99 P
Origametry Mathematical Methods in Paper Folding
Thomas C. Hull | Western New England University Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding. • The first complete reference on the mathematics of origami • Of interest to professionals and students in mathematics, physics and engineering, as well as educators and origami enthusiasts • Contains more than 180 figures to illustrate the constructions described • Numerous ‘diversions’ provide jumping-off points for readers to deepen and broaden their understanding October 2020 244 x 170 mm c.400pp 22 b/w illus. 165 colour illus. 2 tables 978-1-108-47872-4 Hardback £74.99 / US$99.99 P 978-1-108-74611-3 Paperback £29.99 / US$39.99 P
