现代分析教程 A Course of Modern Analysis E. T. Whittaker G. N. Watson 扫描版[DJVU]

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资源信息： 中文名: 现代分析教程 原名: A Course of Modern Analysis 作者: E. T. Whittaker G. N. Watson 资源格式: DJVU 版本: 扫描版 出版社: cambridge university press 书号: 1438528159 发行时间: 1996年 地区: 美国 语言: 英文 概述:

内容简介： This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever. This text refers to an alternate Paperback edition. 内容截图：

目录: CONTENTS PART I. THE PROCESSES OF ANALYSIS CHAPTEP I Complex Numbers. II The Theory of Convergence III Continuous Functions and Uniform Convergence IV The Theory of Riemann Integration V The fundamental properties of Analytic Functions; Taylor's, Laurent's, nod Liouville's Theorems VI TheTheory of Residues;applieation to the evaluation of Definite lntegrals VII The expansion of functions in Infinite Series VIII Asymptotic Expansions and Summable Series . IX Fourier Series and Trigonometrical Series X Linear Differential Equations XI Integral Equations PART II. THE TRANSCENDENTAL FUNCTIONS XII The Gamma Funution XIII The Zeta Function of Riemann X IV The Hypergeometric Function XV Legendre Functions XV I The Confluent Hypergeometric Function. XVII Bessel Functions XVIII The Equations of Mathematical Physics XIX Mathieu Functions XX Elliptic Functions. General theorems and the Weierstrassian Functions XXI The Theta Functions XXII The Jaeobiau Elliptic Functions . XXIII Ellipsoidal Harmonics and Lame's Equation APPENDIX LIST OF AUTHORS QUOTED GENERAL INDEX [NOTE. The decimal system of paragraphing, introduced by Peano, is adopted in this work. The integral part of the decimal rspresents the ,amber of the chapter and the fractional parts are arranged in each chapter in order of magnitude. Thus, e.g., on pp. 187, 188, ξ 9.63.2 precedes ξ 9.7 because 9.63'2 ＜ 9'7.]