A Course in Mathematical Analysis (A Course in Mathematical Analysis 3 Volume Set) (Volume 1) - Hardcover

Garling, D. J. H.

Hardcover

ISBN 10: 1107032024 ISBN 13: 9781107032026

Publisher: Cambridge University Press, 2013

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 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.

About this title

Book Description

This is the first of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study. Numerous exercises, examples and applications are included.

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2013
• ISBN 10: 1107032024
• ISBN 13: 9781107032026
• Binding: Hardcover
• Language: English
• Number of pages: 318