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关键词：
Analysis I
- Convergence, Elementary Functions
书目信息
ISBN：
9783540059233（13位）
中图分类号：
O1
杜威分类号：
中文译名：
分析I：收敛、初级函数
作者：
Godement
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2004
版本：
版本类型：
原版
丛书题名：
Universitext
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first volume is now available in English.
目次：
Sets and Functions: Set Theory; The Logic of Logicians.- Convergence: Discrete variables: Convergent sequences and series; Absolutely convergent series; First concepts of analytic functions.- Convergence: Continuous variables: The intermediate value theorem; Uniform convergence; Bolzano-Weierstrass and Cauchy's criterion; Differentiable functions; Differentiable functions of several variables.- Powers, Exponentials, Logarithms, Trigonometric Functions: Direct construction; Series expansion; Infinite products; The topology of the functions arg(z<I>) and L<I>og z<I>.- Index.
附录：
全文链接：
读者对象：
undergrad.
实体信息
页码：
装帧：
soft
尺寸：
其它形态细节：
其它信息
原价：
EUR
44.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
3540059237
issue：
2006JC01
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