ENGLISH

A Course in Mathematical Analysis, Volume I (vol. 1): Foundations and Elementary Real Analysis

By D. J. H. (Ben) Garling

Book information

Publisher
Cambridge University Press
Year
2013
ISBN
1107032024, 9781107032026
DOI
10.1017/CBO9781139424493
Language
english
Format
PDF
Filesize
3 MB (2651848 bytes)
Series
Garling's A Course in Mathematical Analysis, 1
Volume
1
Edition
1
Pages
318\318
Time added
2013-09-29 16:58:45
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 instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.

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