Shelf wear ONLY. ; Shelf wear ONLY. This book delves into advanced topics such as metric spaces, topological spaces, and functions of several variables. This volume provides a rigorous exploration of these concepts with clear explanations and detailed proofs. It is an essential resource for students and researchers seeking a deeper understanding of mathematical analysis. ; 6.69 X 0.76 X 9.61 inches; vii, 617 (3) pages.

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Bibliographic Details

Title: A Course in Mathematical Analysis - VOLUME 2 - Metric and Topological Spaces, Functions of a Vector Variable
Publisher: Cambridge University Press, Cambridge
Publication Date: 2013
Language: English
ISBN 10: 1107675324
ISBN 13: 9781107675322
Binding: Paperback
Edition: First Edition; First Impression.
Condition: Very Good
Dust Jacket Condition: No Dust Jacket

About this title

Synopsis

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume III covers complex analysis and the theory of measure and integration.

About the Author

D. J. H. Garling is Emeritus Reader in Mathematical Analysis at the University of Cambridge. He has 50 years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis.

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