Mathematics

10965 books

$97.18

by Stephanie Frank Singer (Author)[see attached for complete text] Recent years have seen the appearance of several books bridging the gap between mathematics and physics; most are aimed at the graduate level and above. {\it Symmetry in Mechanics: A Gentle, Modern Introduction} is geared towards a broad audience, requiring only competency in multivariable calculus, linear algebra, and introductory physics. This work was written with two goals in mind: to chip away at the language barrier betw...

Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions - Hardcover

$161.98

by Mi-Ho Giga (Author), Yoshikazu Giga (Author), Jürgen Saal (Author)This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.Back JacketThe main focus of this textbook, in two parts, is on showing how self-similar solutio...

Rigid Analytic Geometry and Its Applications - Hardcover

$178.18

by Jean Fresnel (Author), Marius Van Der Put (Author)Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer...

The Non-Euclidean Revolution: With an Introduction by H.S.M Coxeter - Paperback

$89.08

by Richard J. Trudeau (Author)Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world...

Structured Matrices and Polynomials: Unified Superfast Algorithms - Hardcover

$89.08

by Victor Y. Pan (Author)This book covers fundamental numerical and algebraic computations with Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured matrices. In the computations, matrices are represented by their compressed images, called displacements, enabling both a unified treatment of various matrix structures and a dramatic saving of computer time and memory. The resulting superfast algorithms allow further dramatic parallel acceleration using FFT. Intended readers: rese...

Categorical Closure Operators - Hardcover

$89.08

by Gabriele Castellini (Author)Presents the general theory of categorical closure operators together with examples and applications to the most common categories, e.g., topological spaces, fuzzy topological spaces, groups, and abelian groups. Part I deals with the general theory, starting with basic definitions and gradually moving to more advanced properties. Part II includes applications to the classical concepts of epimorphisms, separation, compactness and connectedness. Every chapter ends...

Advances in Dynamic Equations on Time Scales - Hardcover

$89.08

by Martin Bohner (Editor), Allan C. Peterson (Editor)The subject of dynamic equations on time scales continues to be a rapidly growing area of research. Behind the main motivation for the subject lies the key concept that dynamic equations on time scales is a way of unifying and extending continuous and discrete analysis. This work goes beyond an earlier introductory text "Dynamic Equations on Time Scales: An Introduction with Applications" (ISBN 0-8176-4225-0) and is designed for a second co...

A Path to Combinatorics for Undergraduates: Counting Strategies - Paperback

$113.38

by Titu Andreescu (Author), Zuming Feng (Author)The main goal of the two authors is to help undergraduate students understand the concepts and ideas of combinatorics, an important realm of mathematics, and to enable them to ultimately achieve excellence in this field. This goal is accomplished by familiariz- ing students with typical examples illustrating central mathematical facts, and by challenging students with a number of carefully selected problems. It is essential that the student work...

$113.38

by Jin Ho Kwak (Author), Sungpyo Hong (Author)"A logical development of the subject...all the important theorems and results are discussed in terms of simple worked examples." --Current Science (Review of the First Edition) This book gives a careful presentation of the basic concepts of linear algebra as a coherent part of mathematics, and illustrates its practical power through a variety of interesting applications new to this second edition. The power and utility of this beautiful subject i...

Selfdual Gauge Field Vortices: An Analytical Approach - Hardcover

$178.18

by Gabriella Tarantello (Author)This monograph discusses specific examples of selfdual gauge field structures. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern-Simons-Higgs theories (in both abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are examined. The final chapters treat elliptic problems involving Chern-Simm...

Mathematical Analysis: Functions of One Variable - Hardcover

$89.08

by Mariano Giaquinta (Author), Giuseppe Modica (Author)This self-contained work introduces the main ideas and fundamental methods of analysis at the advanced undergraduate/graduate level. It provides the historical context out of which these concepts emerged, and aims to develop connections between analysis and other mathematical disciplines (e.g., topology and geometry) as well as physics and engineering. A rigorous exposition, numerous examples, beautiful illustrations, good problems, compr...

102 Combinatorial Problems: From the Training of the USA Imo Team - Paperback

$105.28

by Titu Andreescu (Author), Zuming Feng (Author)102 carefully selected problems (with solutions) used to train and test the USA International Mathematical Olympiad (IMO) team are presented here. Undergraduates in combinatorics and tangential areas and advanced high school students will find a stimulating, practical choice of topics, including combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomi...

Geometry of State Spaces of Operator Algebras - Hardcover

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by Erik M. Alfsen (Author), Frederic W. Shultz (Author)This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). The material, which previously has appeared only in research papers and required substantial prerequisites for a reader's understanding, is made accessible here to a broad mathematical audi...

103 Trigonometry Problems: From the Training of the USA Imo Team - Paperback

$105.28

by Titu Andreescu (Author), Zuming Feng (Author)103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations ...

Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control - Paperback

$145.78

by Piermarco Cannarsa (Author), Carlo Sinestrari (Author)Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications. This volume details the theory of semiconcave functions, and of the role they play in optimal control and Hamilton-Jacobi equations. The first part covers the general theory, encompassing all key results and illustrating them with significant examples. The latter part is d...

Mathematical Analysis: Approximation and Discrete Processes - Paperback

$89.08

by Mariano Giaquinta (Author), Giuseppe Modica (Author)This book introduces the main ideas and fundamental methods of analysis. A key feature of this lively yet rigorous and systematic exposition is the historical accounts of ideas and methods pertaining to the relevant topics. Most interesting and useful are the connections developed between analysis and other mathematical disciplines, in this case, numerical analysis and probability theory. "Mathematical Analysis: Approximation and Discrete...

D-Modules, Perverse Sheaves, and Representation Theory - Hardcover

$178.18

by Kiyoshi Takeuchi (Translator), Ryoshi Hotta (Author), Kiyoshi Takeuchi (Author)D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to mak...

Generalized Functions: Theory and Applications - Paperback

$178.18

by RAM P. Kanwal (Author)This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applie...

A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach [With DVD Included] - Paperback

$145.78

by Kai Borre (Author), Dennis M. Akos (Author), Nicolaj Bertelsen (Author)Satellite navigation receivers are used to receive, process, and decode space-based navigation signals, such as those provided by the GPS constellation of satellites. There is an increasing need for a unified open platform that will enable enhanced receiver development and design, as well as cost-effective testing procedures for various applications. This book provide hands-on exploration of new technologies in this rap...

Combinatorics and Commutative Algebra - Paperback

$129.58

by Richard P. Stanley (Author)The author is well known to the math community as an excellent researcher and expositor in the fields of combinatorics and algebra. His first book was widely read. In this second edition, which contains a significant amount of new material in areas of current interest, Stanley, as before, presents the "big picture" in an engaging framework.Back JacketSome remarkable connections between commutative algebra and combinatorics have been discovered in recent years. Th...

An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves - Hardcover

$145.78

by Joachim Kock (Author), Israel Vainsencher (Author)This elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves; the viewpoint is mostly that of enumerative geometry. Emphasis is given throughout the exposition to examples, heuristic discussions, and simple applications of the basic tools to best convey the intuition behind the subject. The book demystifies these new quantum techniques by showing how they fit into classical algebr...

$161.98

by Panos J. Antsaklis (Author), Anthony N. Michel (Author)Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. The emphasis throughout is on time-invariant systems, both continuous- and discrete-time. For full coverag...

Mathematical Analysis: An Introduction to Functions of Several Variables - Hardcover

$194.38

by Mariano Giaquinta (Author), Giuseppe Modica (Author)This self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. Mathematical Analysis: An Introduction to Functions of Several Variables motivates the study of the analysis of several variables with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduat...

104 Number Theory Problems: From the Training of the USA Imo Team - Paperback

$105.28

by Titu Andreescu (Author), Dorin Andrica (Author), Zuming Feng (Author)This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures ...

Mathematical Olympiad Challenges - Paperback

$105.28

by Titu Andreescu (Author), Razvan Gelca (Author)Why Olympiads? Working mathematiciansoftentell us that results in the ?eld are achievedafter long experience and a deep familiarity with mathematical objects, that progress is made slowly and collectively, and that ?ashes of inspiration are mere punctuation in periods of sustained effort. TheOlympiadenvironment, incontrast, demandsarelativelybriefperiodofintense concentration, asksforquickinsightsonspeci?coccasions, andrequiresaconcentrated but...

Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett - Hardcover

$178.18

by Palle E. T. Jorgensen (Editor), Kathy D. Merrill (Editor), Judith A. Packer (Editor)Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure a...

Frames and Bases: An Introductory Course - Hardcover

$137.68

by Ole Christensen (Author)Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers. Newly added sections on applications will help mathematically oriented readers to see where frames are used in practice and engineers to discover the mathematical background for applications in their field. Featuring extensive ...

A History of Abstract Algebra - Paperback

$89.08

by Israel Kleiner (Author)This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing a context from which the reader may gain a...

An Introduction to Riemann Surfaces - Hardcover

$89.08

by Terrence Napier (Author), Mohan Ramachandran (Author)This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to g...

Knot Theory & Its Applications - Paperback

$113.38

by Kunio Murasugi (Author)Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of research workers and beginning graduate students in these fields. It contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander...

Mathematics for the Analysis of Algorithms - Paperback

$113.38

by Daniel H. Greene (Author), Donald E. Knuth (Author)This monograph collects some fundamental mathematical techniques that are required for the analysis of algorithms. It builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is concise enough for ...

Discriminants, Resultants, and Multidimensional Determinants - Paperback

$226.78

by Israel M. Gelfand (Author), Mikhail Kapranov (Author), Andrei Zelevinsky (Author)"This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."--Mathematical ReviewsBack Jacket"This book revives and vastly expands the class...