Catalog Search Results
Author
Publisher
Basic Books
Pub. Date
2023.
Edition
First edition.
Language
English
Description
"[An] ... exploration of games and math, spanning centuries and millennia, oceans and continents, countries and cultures. Renowned mathematician Marcus du Sautoy shows how mathematics and games have always been deeply intertwined: how games provided some of the first opportunities for deep mathematical insight into the universe; how understanding math can help us play games better; and how the knowledge and enjoyment of both math and games are integral...
Author
Language
English
Description
Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subject. In an introductory chapter on numerical methods and their relevance to computing, well-known mathematician Richard Hamming ("the Hamming code," "the Hamming distance," and "Hamming window," etc.), suggests that the purpose of computing is insight, not...
Author
Language
English
Description
This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with...
Author
Series
Language
English
Description
This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain...
Author
Language
Español
Description
En este libro se presentan los siguientes temas matemáticos:funciones reales con varias variablesfunciones implícitascálculo integral para funciones de varias variablesdesarrollos en series de potencias, series de Taylor y series de Fourieranálisis en el campo complejo
Author
Language
English
Description
Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis,...
Author
Language
English
Description
In this book, exercises are carried out regarding the following mathematical topics:
solving integral equations
solving integral-differential equations
calculus of variations
Initial theoretical hints are also presented to make the conduct of the exercises understandable.
Author
Language
English
Description
Designed for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on generality and careful formulation rather than problem-solving. Its author, a member of the distinguished National Academy of Science, based this graduate-level text on the course he taught at Harvard University. Opening chapters on classical mechanics examine the laws of particle mechanics; generalized coordinates and...
Author
Language
English
Description
A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces....
Author
Language
English
Description
In this book exercises are carried out regarding the following mathematical topics:exact differential forms and primitivesconservative fields and potentialsremarkable theorems of differential analysisInitial theoretical hints are also presented to make the performance of the exercises understood.
12) Real Analysis
Author
Series
Language
English
Description
This text offers upper-level undergraduates and graduate students a survey of practical elements of real function theory, general topology, and functional analysis. Beginning with a brief discussion of proof and definition by mathematical induction, it freely uses these notions and techniques. The maximality principle is introduced early but used sparingly; an appendix provides a more thorough treatment. The notion of convergence is stated in basic...
Author
Language
Français
Description
Dans ce livre, des exercices sont effectués sur les sujets mathématiques suivants :formes différentielles exactes et primitiveschamps et potentiels conservateursthéorèmes remarquables de l'analyse différentielleDes premières indications théoriques sont également présentées pour faire comprendre l'exécution des exercices.
Author
Series
Language
English
Description
Olivier Druet is Researcher at CNRS, Ecole Normale Supérieure de Lyon. Emmanuel Hebey is Professor at Université de Cergy-Pontoise. Frédéric Robert is Associate Professor at Université de Nice Sophia-Antipolis.
Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe...
Author
Language
English
Description
As the title suggests, this technique employs visual elements in its exploration of the most graphic and least "forbidding" aspects of mathematics. The author observes that most people possess a direct vision that permits them to "see" only the smaller numbers. In addressing this difficulty, both for those who like recreational mathematics and for those who teach, he suggests a variety of methods: techniques of visualizing, dramatizing, and analyzing...
Author
Language
English
Description
This excellent text for advanced undergraduates and graduate students covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation, and other topics. It offers a careful analysis and stresses techniques for developing new methods, plus many examples and problems. 1966 edition.
Author
Language
Español
Description
Por sus aplicaciones diversas, el estudio, la interpretación y el uso de señales y sistemas es básico para cualquier carrera de las ingenierías. Este volumen presenta una introducción a los métodos de análisis de Fourier a un nivel matemático entendible, suficientemente riguroso y consistente. El contenido está organizado en tres capítulos: el primero expone los conceptos preliminares; el segundo está dedicado a las bases de representación...
Author
Language
Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :intégrales de ligne des première et deuxième espècesintégrales de surface et de volumeDes premières indications théoriques sont également présentées pour faire comprendre l'exécution des exercices.
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