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 Title Real Variables with Basic Metric Space Topology
 Author(s) Robert B. Ash
 Publisher: Dover Publications (May 21, 2009)
 Hardcover/Paperback 224 pages
 eBook PDF Files and a single PDF (78 MB)
 Language: English
 ISBN10/ASIN: 0486472205
 ISBN13: 9780486472201
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Book Description
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate students of mathematics, it is also appropriate for students of engineering, physics, and economics who seek an understanding of real analysis.
The author encourages an intuitive approach to problem solving and offers concrete examples, diagrams, and geometric or physical interpretations of results. Detailed solutions to the problems appear within the text, making this volume ideal for independent study. Topics include metric spaces, Euclidean spaces and their basic topological properties, sequences and series of real numbers, continuous functions, differentiation, RiemannStieltjes integration, and uniform convergence and applications.
About the Authors Robert B. Ash is Professor Emeritus of Mathematics at the University of Illinois.