Mathematics

10966 books

Birth of a Theorem: A Mathematical Adventure - Paperback

$26.00

by Cédric Villani (Author), Malcolm Debevoise (Translator)In 2010, the French mathematician C dric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof that he devised with his close collaborator Cl ment Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most...

$194.38

by Edward J. Barbeau (Author)From the reviews: "This book uses the medium of problems to enable us, the readers, to educate ourselves in matters polynomial. In each section we are led, after a brief introduction, into a sequence of problems on a certain topic. If we do these successfully, we find that we have mastered the basics of the topic ... I approached this book with some prejudice against its non-textbook approach; but it won me over entirely. It is not easy to write a book that will ...

Fibonacci's Liber Abaci: A Translation Into Modern English of Leonardo Pisano's Book of Calculation - Paperback

$178.18

by Laurence Sigler (Author)"Leonardo of Pisa's Liber Abaci (Book of Calculation) is one of the most important books in the history of European mathematics. Leonardo learned his mathematics from the Islamic mathematical tradition (some have even argued that he should be considered part of that tradition), but he wrote his books in Latin. As a result, he became one of the most important mediators of that tradition to European readers ... here it is at last, the Liber Abaci in English. It is now...

Functional Analysis, Sobolev Spaces and Partial Differential Equations - Paperback

$129.58

by Haim Brezis (Author)This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis ...

Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory - Hardcover

$194.38

by Habib Ammari (Author), Hyeonbae Kang (Author)This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Gra...

Problems in Analytic Number Theory - Hardcover

$113.33

by M. Ram Murty (Author)This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in the...

The Real Numbers and Real Analysis - Hardcover

$129.58

by Ethan D. Bloch (Author)This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an ...

Convergence and Applications of Newton-Type Iterations - Hardcover

$89.08

by Ioannis K. Argyros (Author)This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semilocal convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for seminars in a...

An Introduction to Hopf Algebras - Hardcover

$89.08

by Robert G. Underwood (Author)Only book on Hopf algebras aimed at advanced undergraduatesBack JacketThe study of Hopf algebras spans many fields in mathematics including topology, algebraic geometry, algebraic number theory, Galois module theory, cohomology of groups, and formal groups and has wide-ranging connections to fields from theoretical physics to computer science. This text is unique in making this engaging subject accessible to advanced graduate and beginning graduate students and ...

$121.43

by Steven Roman (Author)This is a graduate level textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectr...

Differential Analysis on Complex Manifolds - Hardcover

$105.23

by Oscar Garcia-Prada (Appendix by), Raymond O. Wells (Author)A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then d...

A Concrete Introduction to Higher Algebra - Hardcover

$145.78

by Lindsay N. Childs (Author)This book is written as an introduction to higher algebra for students with a background of a year of calculus. It has been used as a successful undergraduate text for more than 20 years. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra. New sections on Luhn's formula, Cosets and equations, and detaching coefficients are included. The later c...

Measure, Topology, and Fractal Geometry - Hardcover

$89.03

by Gerald Edgar (Author)Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. The book provides a significant contribution to material already published about the beautiful mathematical objects drawn by computers using recursive or iterative algorithms. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fr...

V-Invex Functions and Vector Optimization - Hardcover

$89.08

by Shashi K. Mishra (Author), Shouyang Wang (Author), Kin Keung Lai (Author)This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990's. The authors integrate related research into the book and demonstrate the wide context from which the area has grown and continue...

The Mathematical Theory of Finite Element Methods - Hardcover

$161.98

by Susanne Brenner (Author), Ridgway Scott (Author)This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be use...

The Colorado Mathematical Olympiad and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics - Paperback

$97.18

by Alexander Soifer (Author)This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorations gives the interesting history of the competition as well as an outline of all the problems and solutions that have been created for the contest over the years. Many of the essay problems were inspired by Russian mathematical folklore and written to suit the young audience; for example, the 1989 Sugar problem was written in a pleasant Lewis C...

$259.18

by George Casella (Author)Although statistical design is one of the oldest branches of statistics, its importance is ever increasing, especially in the face of the data flood that often faces statisticians. It is important to recognize the appropriate design, and to understand how to effectively implement it, being aware that the default settings from a computer package can easily provide an incorrect analysis. The goal of this book is to describe the principles that drive good design, paying...

Unitals in Projective Planes - Hardcover

$89.08

by Susan Barwick (Author), Gary Ebert (Author)This book is a monograph on unitals embedded in ?nite projective planes. Unitals are an interesting structure found in square order projective planes, and numerous research articles constructing and discussing these structures have appeared in print. More importantly, there still are many open pr- lems, and this remains a fruitful area for Ph.D. dissertations. Unitals play an important role in ?nite geometry as well as in related areas of mathemat...

Analysis of Integrated and Cointegrated Time Series with R - Paperback

$145.78

by Bernhard Pfaff (Author)The analysis of integrated and co-integrated time series can be considered as the main methodology employed in applied econometrics. This book not only introduces the reader to this topic but enables him to conduct the various unit root tests and co-integration methods on his own by utilizing the free statistical programming environment R. The book encompasses seasonal unit roots, fractional integration, coping with structural breaks, and multivariate time series mod...

$72.83

by Ernst Hairer (Author), Gerhard Wanner (Author)This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large numb...

Monte Carlo and Quasi-Monte Carlo Sampling - Hardcover

$178.18

by Christiane LeMieux (Author)Quasi-Monte Carlo methods have become an increasingly popular alternative to Monte Carlo methods over the last two decades. Their successful implementation on practical problems, especially in finance, has motivated the development of several new research areas within this field to which practitioners and researchers from various disciplines currently contribute. This book presents essential tools for using quasi-Monte Carlo sampling in practice. The first part o...

Matrix Algebra from a Statistician's Perspective - Paperback

$178.18

by David A. Harville (Author)This book offers thorough and unified coverage of the fundamental concepts of matrix algebra. Its approach will make it particularly suited to those with an interest in statistics or related disciplines. But it does much more, too: it is enlightening in specialized areas of statistics such as linear statistical models and multivariate analysis. David Harville, a former associate editor of the Journal of the American Statistical Association, ensures that the style ...

Optimization--Theory and Practice - Hardcover

$137.68

by Wilhelm Forst (Author), Dieter Hoffmann (Author)Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science.This book gives a modern and well-balanced presentation of the subject, focusing on theory...

Introductory Statistics with R - Paperback

$105.28

by Peter Dalgaard (Author)R is an Open Source implementation of the S language. It works on multiple computing platforms and can be freely downloaded. R is now in widespread use for teaching at many levels as well as for practical data analysis and methodological development. This book provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples with liberal commentin...

Information Theory and Network Coding - Hardcover

$161.98

by Raymond W. Yeung (Author)This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as ...

Symmetry, Representations, and Invariants - Hardcover

$113.33

by Roe Goodman (Author), Nolan R. Wallach (Author)Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction t...

Combinatorics and Graph Theory - Hardcover

$89.03

by John Harris (Author), Jeffry L. Hirst (Author), Michael Mossinghoff (Author)There are certain rules that one must abide by in order to create a successful sequel. -- Randy Meeks, from the trailer to Scream 2 While we may not follow the precise rules that Mr. Meeks had in mind for s- cessful sequels, we have made a number of changes to the text in this second edition. In the new edition, we continue to introduce new topics with concrete - amples, we provide complete proofs of almost every r...

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach - Hardcover

$97.18

by William Stein (Author)This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. The intended audience of this book is an undergraduate wi...

Introductory Time Series with R - Paperback

$97.18

by Paul S. P. Cowpertwait (Author), Andrew V. Metcalfe (Author)This book is on the analysis of time series using R, with some emphasis on economic and financial series. The text is based on practical applications and emphasizes the value of the statistical anlaysis to researchers and students who can then apply the methods to university research or to problems in industry and commerce.Back JacketYearly global mean temperature and ocean levels, daily share prices, and the signals transmitted b...

$105.28

by J-P Serre (Author)This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant I. These forms occur in various questions: modular function...

Introduction to Lie Algebras and Representation Theory - Paperback

$113.33

by J. E. Humphreys (Author)This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, ...

Introduction to Lie Algebras and Representation Theory - Hardcover

$113.33