ENGLISH

A course in modern analysis and its applications

By Graeme L. Cohen

Book information

Publisher
Cambridge University Press
Year
2003
ISBN
0511061668, 9780511061660, 0511070128, 9780511070129
Language
english
Format
PDF
Filesize
6 MB (6735732 bytes)
Series
Australian Mathematical Society lecture series, 17
Pages
1 online resource (xiii, 333 pages) : illustration
Time added
2014-12-10 15:42:59

Description

Designed for one-semester courses for senior undergraduates, this book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics. Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Prelude to Modern Analysis; 2 Metric Spaces; 3 The Fixed Point Theorem and its Applications; 4 Compactness; 5 Topological Spaces; 6 Normed Vector Spaces; 7 Mappings on Normed Spaces; 8 Inner Product Spaces; 9 Hilbert Space; Bibliography; Selected Solutions; Index.

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