Real Variables with Basic Metric Space Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Real Variables with Basic Metric Space Topology by Robert B. Ash, Dover Publications
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Author: Robert B. Ash ISBN: 9780486151496
Publisher: Dover Publications Publication: July 28, 2014
Imprint: Dover Publications Language: English
Author: Robert B. Ash
ISBN: 9780486151496
Publisher: Dover Publications
Publication: July 28, 2014
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

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