COURSE IN MATHEMATICAL ANALYSIS: VOLUME 1, FOUNDATIONS AND ELEMENTARY REAL ANALYSIS

D. J. H. GARLING

ISBN 10: 1107032024 / ISBN 13: 9781107032026

Published by Cambridge University Press, 2013

About this Item

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Bibliographic Details

Title: COURSE IN MATHEMATICAL ANALYSIS: VOLUME 1, ...

Publisher: Cambridge University Press

Publication Date: 2013

Binding: Hardcover

Condition: New

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 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 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 covers complex analysis and the theory of measure and integration.

About the Author:

D. J. H. Garling is an 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.