ENGLISH

A Course in Mathematical Analysis, Volume II (vol. 2): Metric and Topological Spaces, Functions of a Vector Variable

By D. J. H. (Ben) Garling

Book information

Publisher
Cambridge University Press
Year
2014
ISBN
1107675324, 9781107675322
DOI
10.1017/CBO9781139424509
Language
english
Format
PDF
Filesize
2 MB (2103477 bytes)
Series
Garling's A Course in Mathematical Analysis, 2
Volume
2
Edition
1
Pages
334\336
Library
kolxoz
Time added
2014-05-08 09:00:00
Математика;Математический анализ

Description

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.

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