Real Variables with Basic Metric Space Topology (Paperback) (ISBN-13: 9780486472201)

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.

Author: Robert B. Ash
ISBN-10: 0486472205
ISBN-13: 9780486472201
Publisher: Dover Publications
Language: English
Published: 05/01/2009
Pages: 224
Format: Paperback
Weight: 0.63lbs
Size: 9.22h x 6.25w x 0.50d