A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

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.

Author: D. J. H. Garling
Publisher: Cambridge University Press
Published: 04/25/2013
Pages: 318
Binding Type: Paperback
Weight: 1.20lbs
Size: 9.60h x 6.80w x 0.70d
ISBN: 9781107614185

Review Citation(s):
Choice 01/01/2014

About the Author
Garling, D. J. H.: - 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.