Автор: Knopp, Konrad Название: Infinite Sequences and Series ISBN: 0486601536 ISBN-13(EAN): 9780486601533 Издательство: Dover Рейтинг: Цена: 1510 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One of the finest expositors in the field of modern mathematics, Dr. Konrad Knopp here concentrates on a topic that is of particular interest to 20th-century mathematicians and students. He develops the theory of infinite sequences and series from its beginnings to a point where the reader will be in a position to investigate more advanced stages on his own. The foundations of the theory are therefore presented with special care, while the developmental aspects are limited by the scope and purpose of the book. All definitions are clearly stated; all theorems are proved with enough detail to make them readily comprehensible. The author begins with the construction of the system of real and complex numbers, covering such fundamental concepts as sets of numbers and functions of real and complex variables. In the treatment of sequences and series that follows, he covers arbitrary and null sequences; sequences and sets of numbers; convergence and divergence; Cauchy's limit theorem; main tests for sequences; and infinite series. Chapter three deals with main tests for infinite series and operating with convergent series. Chapters four and five explain power series and the development of the theory of convergence, while chapter six treats expansion of the elementary functions. The book concludes with a discussion of numerical and closed evaluation of series.
Автор: Trine, Ralph Название: In Tune with the Infinite ISBN: 0486493202 ISBN-13(EAN): 9780486493206 Издательство: Dover Рейтинг: Цена: 959 р. Наличие на складе: Нет в наличии.
Описание: New Thought author Ralph Waldo Trine's groundbreaking bestseller explores the "golden thread" that runs through every religion. Millions of readers have benefited from this book's guidance--and you, too, can follow its path to enlightenment. Read this timeless spiritual classic to discover how to: - Attain wisdom and interior illumination - Achieve bodily health and vigor - Find the path to prosperity
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: This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Holder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. 1992 edition.
"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.""