Mathematics

10964 books

Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists - Hardcover

$172.80

by Andrew Seagar (Author)NUMERICAL CALCULATIONS IN CLIFFORD ALGEBRA An intuitive combination of the theory of Clifford algebra with numerous worked and computed examples and calculations Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists is an accessible and practical introduction to Clifford algebra, with comprehensive coverage of the theory and calculations. The book offers many worked and computed examples at a variety of levels of complexity and ove...

Mathematics of Public Key Cryptography - Hardcover

$133.11

by Steven D. Galbraith (Author)Public key cryptography is a major interdisciplinary subject with many real-world applications, such as digital signatures. A strong background in the mathematics underlying public key cryptography is essential for a deep understanding of the subject, and this book provides exactly that for students and researchers in mathematics, computer science and electrical engineering. Carefully written to communicate the major ideas and techniques of public key cryptograp...

Regression Analysis of Count Data - Hardcover

$307.53

by A. Colin Cameron (Author), Pravin K. Trivedi (Author)Students in both social and natural sciences often seek regression methods to explain the frequency of events, such as visits to a doctor, auto accidents, or new patents awarded. This book provides the most comprehensive and up-to-date account of models and methods to interpret such data. The authors have conducted research in the field for more than twenty-five years. In this book, they combine theory and practice to make sophisticated ...

Singularities of the Minimal Model Program - Hardcover

$168.30

by János Kollár (Author), Sándor Kovács (With)This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program...

Normal Approximations with Malliavin Calculus - Hardcover

$157.59

by Ivan Nourdin (Author), Giovanni Peccati (Author)Stein's method is a collection of probabilistic techniques that allow one to assess the distance between two probability distributions by means of differential operators. In 2007, the authors discovered that one can combine Stein's method with the powerful Malliavin calculus of variations, in order to deduce quantitative central limit theorems involving functionals of general Gaussian fields. This book provides an ideal introduction both to S...

Nonparametric Inference on Manifolds - Hardcover

$107.10

by Abhishek Bhattacharya (Author), Rabi Bhattacharya (Author)This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied applications in medical diagnostics, image analysis, and machine vision. An early chapter of examples establishes the effectiveness of the new methods and demonstrates how they outperform their parametric counterparts. Inference is developed for both intrinsi...

Sets of Finite Perimeter and Geometric Variational Problems - Hardcover

$166.77

by Francesco Maggi (Author)The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, ...

Manifolds, Tensors, and Forms - Hardcover

$137.70

by Paul Renteln (Author)Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-R...

Partial Differential Equations for Probabilists - Paperback

$73.44

by Daniel W. Stroock (Author)This book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order partial d...

Mathematical Foundations of Infinite-Dimensional Statistical Models - Hardcover

$191.25

by Evarist Giné (Author), Richard Nickl (Author)In nonparametric and high-dimensional statistical models, the classical Gauss-Fisher-Le Cam theory of the optimality of maximum likelihood estimators and Bayesian posterior inference does not apply, and new foundations and ideas have been developed in the past several decades. This book gives a coherent account of the statistical theory in infinite-dimensional parameter spaces. The mathematical foundations include self-contained 'mini-courses' o...

Foundations of Ergodic Theory - Hardcover

$223.38

by Marcelo Viana (Author), Krerley Oliveira (Author)Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background m...

$174.42

by Emily Riehl (Author)This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Riehl unifies these seemingly rival perspectives and demonstrat...

Performance Modeling and Design of Computer Systems: Queueing Theory in Action - Hardcover

$154.53

by Mor Harchol-Balter (Author)Computer systems design is full of conundrums: -Given a choice between a single machine with speed s, or n machines each with speed s/n, which should we choose? -If both the arrival rate and service rate double, will the mean response time stay the same? -Should systems really aim to balance load, or is this a convenient myth? -If a scheduling policy favors one set of jobs, does it necessarily hurt some other jobs, or are these "conservation laws" being misinter...

Markov Processes, Gaussian Processes, and Local Times - Paperback

$156.06

by Michael B. Marcus (Author), Jay Rosen (Author)Written by two foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and fo...

Filtering and System Identification: A Least Squares Approach - Paperback

$110.16

by Michel Verhaegen (Author), Vincent Verdult (Author)Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Emphasis is on the least squares approach as applied to the linear state-space model, and problems of increasing complexity are analyzed and solved within this framework, starting with the Kalman filter ...

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics - Paperback

$107.10

by Thomas L. Vincent (Author), Joel S. Brown (Author)All of life is a game, and evolution by natural selection is no exception. The evolutionary game theory developed in this 2005 book provides the tools necessary for understanding many of nature's mysteries, including co-evolution, speciation, extinction and the major biological questions regarding fit of form and function, diversity, procession, and the distribution and abundance of life. Mathematics for the evolutionary game are developed ...

Classical and Multilinear Harmonic Analysis - Hardcover

$133.11

by Camil Muscalu (Author), Wilhelm Schlag (Author)This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calder ...

Spectral Theory and Its Applications - Hardcover

$125.46

by Bernard Helffer (Author)Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schr dinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's focus on applications, along with exercises and examples, enables rea...

Counterfactuals and Causal Inference - Hardcover

$180.54

by Stephen L. Morgan (Author), Christopher Winship (Author)In this second edition of Counterfactuals and Causal Inference, completely revised and expanded, the essential features of the counterfactual approach to observational data analysis are presented with examples from the social, demographic, and health sciences. Alternative estimation techniques are first introduced using both the potential outcome model and causal graphs; after which, conditioning techniques, such as matching and regre...

New Geometries for New Materials - Paperback

$113.22

by Eric A. Lord (Author), Alan L. MacKay (Author), S. Ranganathan (Author)Advances in materials science have given rise to novel materials with unique properties, through the manipulation of structure at the atomic level. Elucidating the shape and form of matter at this scale requires the application of mathematical concepts. This 2006 book presents the geometrical ideas that are being developed and integrated into materials science to provide descriptors and enable visualisation of the atomi...

Computer Age Statistical Inference - Hardcover

$130.05

by Bradley Efron (Author), Trevor Hastie (Author)The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis foll...

$126.99

by Richard P. Stanley (Author)Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book provides, for the first time, a comprehensive collection of their properties and applications in combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. After an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects which are counted using Catalan numbers, including of ...

The Thirteen Books of Euclid's Elements - Paperback

$82.08

by Thomas L. Heath (Author)After studying both classics and mathematics at the University of Cambridge, Sir Thomas Little Heath (1861-1940) used his time away from his job as a civil servant to publish many works on the subject of ancient mathematics, both popular and academic. First published in 1926 as the second edition of a 1908 original, this book contains the first volume of his three-volume English translation of the thirteen books of Euclid's Elements, covering Books One and Two. This...

Clifford Algebras: An Introduction - Paperback

$100.98

by D. J. H. Garling (Author)Clifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the classical groups and to generalize the Hilbert transform. They also have their place in physics, setting the scene for Maxwell's equations in electromagnetic theory, for the spin of elemen...

Partial Differential Equations - Paperback

$89.08

by F. John (Author)The book has been completely rewritten for this new edition. While most of the material found in the earlier editions has been retained, though in changed form, there are considerable additions, in which extensive use is made of Fourier transform techniques, Hilbert space, and finite difference methods. A condensed version of the present work was presented in a series of lectures as part of the Tata Institute of Fundamental Research -Indian Insti- tute of Science Mathematic...

Twenty Lectures on Algorithmic Game Theory - Hardcover

$165.24

by Tim Roughgarden (Author)Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas a...

A First Course in Real Analysis - Paperback

$89.08

by M. H. Protter (Author), C. B. Morrey Jr. (Author)The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on...

Prime Numbers and the Riemann Hypothesis - Hardcover

$113.22

by Barry Mazur (Author), William Stein (Author)Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann Hypothesis, which remains to be one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann Hypothesis. Students with minimal mathematical background and scholars alike w...

$19.99

by Sara Turing (Author), John F. Turing (Afterword by), Lyn Irvine (Foreword by)'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since his suicide, Turi...

$30.24

by Imre Lakatos (Author), John Worrall (Editor), Elie Zahar (Editor)Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs an...

Elements of Distribution Theory - Paperback

$97.92

by Thomas A. Severini (Author)This detailed introduction to distribution theory is designed as a text for the probability portion of the first year statistical theory sequence for Master's and PhD students in statistics, biostatistics, and econometrics. The text uses no measure theory, requiring only a background in calculus and linear algebra. Topics range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distrib...

How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics - Paperback

$81.09

by David Tall (Author)How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's...