A Course in Mathematical Analysis (A Course in Mathematical Analysis 3 Volume Set) (Volume 2) - Hardcover

Garling, D. J. H.

Hardcover

ISBN 10: 1107032032 ISBN 13: 9781107032033

Publisher: Cambridge University Press, 2014

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 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.

About this title

Book Description

This is the second 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 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: 2014
• ISBN 10: 1107032032
• ISBN 13: 9781107032033
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 336