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关键词：
Undergraduate Analysis
书目信息
ISBN：
9780387948416（13位）
中图分类号：
O1
杜威分类号：
中文译名：
大学生分析
作者：
Lang
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2004
版本：
2nd ed. 1997. Corr. 4th printing
版本类型：
原版
丛书题名：
Undergraduate Texts in Mathematics
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
16This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces. A proof of the fundamental lemma of Lebesgue integration is included, in addition to many interesting exercises. 04From the contents:- Review of Calculus: Sets and Mappings. Real Numbers. Limits and Continuous Functions. Differentiation. Elementary Functions. The Elementary Real Integral- Convergence: Normed Vector Spaces. Limits. Compactness. Series. The Integral in One Variable- Applications of the Integral: Fourier Series. Improper Integrals. The Fourier Integral- Calculus in Vector Spaces: Function on n-Space. The Winding Number and Global Potential Functions. Derivatives in Vector Spaces. Inverse Mapping Theorem. Ordinary Differential Equations- Multiple Integration: Multiple Integrals. Differential Forms- Appendix- Index
目次：
Review of Calculus: Sets and Mappings. Real Numbers. Limits and Continuous Functions. Differentiation. Elementary Functions. The Elementary Real Integral.- Convergence: Normed Vector Spaces. Limits. Compactness. Series. The Integral in One Variable.- Applications of the Integral: Fourier Series. Improper Integrals. The Fourier Integral.- Calculus in Vector Spaces: Function on n-Space. The Winding Number and Global Potential Functions. Derivatives in Vector Spaces. Inverse Mapping Theorem. Ordinary Differential Equations.Multiple Integration: Multiple Integrals. Differential Forms.- Appendix.- Index.
附录：
全文链接：
读者对象：
undergrad.
实体信息
页码：
装帧：
hard
尺寸：
其它形态细节：
其它信息
原价：
EUR
54.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0387948414
issue：
2006JC01
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