第3章  亚纯函数和对数 (Meromorphic Functions and the Logarithm) One knows that the differential calculus, which has contributed so much to the progress of analysis, is founded on the consideration of diffe

第2章  Cauchy定理及其应用 The solution of a large number of problems can be reduced, in the last analysis, to the evaluation of definite integrals; thus mathematicians have been much occupied with this ta

第一章         复分析准备知识 (Preliminaries to Complex Analysis) The sweeping development of mathematics during the last two centuries is due in large part to the introduction of complex numbers; paradox

第7章  有限Fourier分析 This past year has seen the birth, or rather the re- birth, of an exciting revolution in computing Fourier transforms. A class of algorithms known as the fast Fourier transform or

第 3 章  Fourier级数的收敛性(Convergence of Fourier Series) The sine and cosine series, by which one can represent an arbitrary function in a given interval, enjoy among other remarkable properties that of

第 2 章  Fourier级数的基本属性(Basic Properties of Fourier Series) Nearly fifty years had passed without any progress on the question of analytic representation of an arbitrary function, when an assertion o