Real Variables with Basic Metric Space Topology
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Book Overview
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, Riemann-Stieltjes integration, and uniform convergence and applications.
Format:Paperback
Language:English
ISBN:0486472205
ISBN13:9780486472201
Release Date:May 2009
Publisher:Dover Publications
Length:224 Pages
Weight:0.70 lbs.
Dimensions:0.5" x 6.3" x 9.2"
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