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A course in modern analysis and its applications /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Cohen, Graeme Laurence
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 2003.
Series:Australian Mathematical Society lecture series ; 17.
Subjects:
Online Access:Texto completo
Table of Contents:
  • 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.