real variables with basic metric space topology robert ash [pdf]

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real variables with basic metric space topology robert ash [pdf]

Real Variables with Basic Metric Space Topology by Robert Ash

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About this book :-
Real Variables with Basic Metric Space Topology written by Robert Ash
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.

Book Detail :-
Title: Real Variables with Basic Metric Space Topology
Edition:
Author(s): Robert B. Ash
Publisher:
Series:
Year: 238
Pages: 2007
Type: PDF
Language: English
ISBN: 0486472205,9780486472201
Country: Us
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About Author :-
Author Robert B. Ash (1935-2015) is Professor Emeritus of Mathematics in the Department of Mathematics at the University of Illinois. He start his career as an Assistant Professor in Electrical Engineering at Columbia University and then a Visiting Assistant Professor at the University of California, Berkeley, before coming to the University of Illinois Department of Mathematics in 1963. He retired in 1990. Bob was author of thirteen textbooks.

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Book Contents :-
Real Variables with Basic Metric Space Topology written by Robert Ash cover the following topics.
1. Introduction
2. Some Basic Topological Properties of Rp
3. Upper and Lower Limits of Sequences of Real Numbers
4. Continuous Functions
5. Differentiation
6. Riemann-Stieltjes Integration
7. Uniform Convergence and Applications
8. Further Topological Results
Solutions to Problems

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