Elementary Theory and Application of Numerical Analysis: Revised Edition
Автор: Knopp, Konrad Название: Theory and Application of Infinite Series ISBN: 0486661652 ISBN-13(EAN): 9780486661650 Издательство: Dover Рейтинг: Цена: 2638 р. Наличие на складе: Поставка под заказ.
Описание: This classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self-study. Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University of T bingen) begins with an introduction to the theory of real numbers, an indispensable foundation for what is to come. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th century. Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations. Aimed at students already acquainted with the elements of differential and integral calculus, this work grew out of the author's lectures and course work at the universities of Berlin and K nigsberg. This pedagogical background helped him achieve a work of utmost clarity and precision -- one that belongs in the library of every serious mathematician or student of higher analysis.
Автор: Shilov, Georgi E. Название: Elementary Real and Complex Analysis ISBN: 0486689220 ISBN-13(EAN): 9780486689227 Издательство: Dover Рейтинг: Цена: 2638 р. Наличие на складе: Поставка под заказ.
Описание: Discusses calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers; algebra-related subjects such as real equations with real unknowns and equations in the field of complex quantities. Also explores elements of analysis, with discussions of logarithmic and exponential functions, the goniometric functions, and infinitesimal calculus. 1932 edition. 125 figures.
Автор: Householder Alston S. Название: Principles of Numerical Analysis ISBN: 048645312X ISBN-13(EAN): 9780486453125 Издательство: Dover Рейтинг: Цена: 1948 р. Наличие на складе: Поставка под заказ.
Автор: Hamermesh, Morton Название: Group Theory and Its Application to Physical Problems ISBN: 0486661814 ISBN-13(EAN): 9780486661810 Издательство: Dover Рейтинг: Цена: 3098 р. Наличие на складе: Поставка под заказ.
Описание:
"A remarkably intelligible survey . . . well organized, "well "written and very clear throughout." "Mathematical Reviews "This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central "role "of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment.. "A very welcome addition to the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." "Contemporary Physics.""
Автор: Sawyer W. Название: A First Look at Numerical Functional Analysis ISBN: 0486478823 ISBN-13(EAN): 9780486478821 Издательство: Dover Рейтинг: Цена: 1718 р. Наличие на складе: Поставка под заказ.
Описание: Functional analysis arose from traditional topics of calculus and integral and differential equations. This text starts with problems in numerical analysis, showing how they lead naturally to the concepts of functional analysis. Topics include Banach and Hilbert spaces, contraction mappings, convergence, differentiation and integration, and Euclidean space. 1978 edition.
Автор: Meijer Paul Название: Group Theory: The Application to Quantum Mechanics ISBN: 0486437981 ISBN-13(EAN): 9780486437989 Издательство: Dover Рейтинг: Цена: 2178 р. Наличие на складе: Поставка под заказ.
Автор: Householder Alston S. Название: The Theory of Matrices in Numerical Analysis ISBN: 0486449726 ISBN-13(EAN): 9780486449722 Издательство: Dover Рейтинг: Цена: 1718 р. Наличие на складе: Поставка под заказ.
Описание: This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.
Описание: This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.
Описание: In addition to traditional topics in numerical analysis, this text covers modern subjects such as optimal control problems, linear programming, and boundary value problems. Suitable for advanced undergraduate and graduate courses, it is highly relevant to students in a variety of disciplines, including computer science, applied mathematics, and engineering. 1972 edition.
Автор: Householder, Alston S. Название: The Theory of Matrices in Numerical Analysis ISBN: 0486785874 ISBN-13(EAN): 9780486785875 Издательство: Dover Цена: 3443 р. Наличие на складе: Поставка под заказ.
Описание: This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.
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