現(xiàn)代分析教程

內(nèi)容概要

　　ADVANTAGE has been taken of the prearation of the fourth edition of this work to add a few additional referens and to make a number of corrections of minor errors.　　Our thanks are bue to a number of our readers for pointing out errors and misprints，and in particular we are grateful to Mr E.T.Copson，Lecturer in mathematics in　the University Edinburgh，for the trouble which he has taken in supplying us with a somewhat lenthy list.

作者簡介

作者：(英國)維塔克(Whittaker E.T.)

書籍目錄

PART I. THE PROCESSES OF ANALYSIS.CHAPTERI Complex NumbersII The Theory of ConvergenceIII Continuous Functions and Uniform ConvergenceIV The Theory of Riemann IntegrationV The fundamental properties of Analytic Functions; Taylor's, Lsnrent's, and Liouville's TheoremsVI TheTheory of Residues; application to the evaluatiou of Definite IntegralsVII The expansion of functions in Infinite SeriesVIII Asymptotic Expansions and Summab]e SeriesIX Fourier Series and Trigonometrical SeriesX Linear Differential EquationsXI Integral EquationsPART II. THE TRANSCENDENTAL FUNCTIONSXII The Gamma Function..XIII The Zeta Function of RiemannXIV The Hypergeometric FunctionXV Legendre Functions……

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