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 the 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. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon-Nikodym theorem is proved, and the differentiation of measures discussed.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9781107663305
eBay Product ID (ePID)
184511385
Product Key Features
Author
D. J. H. Garling
Publication Name
A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
329 Pages
Dimensions
Item Height
247mm
Item Width
173mm
Item Weight
610g
Additional Product Features
Title_Author
D. J. H. Garling
Country/Region of Manufacture
United Kingdom
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