Real Variables with Basic Metric Space Topology by Robert B. Ash
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About this book :-
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 :-
This book has following details information.
Title:
Real Variables with Basic Metric Space Topology by Robert B. Ash by NA
Publisher:
Dover Publications
Series:
FreeCompBooks
Year:
2009
Pages:
224
Type:
PDF
Language:
English
ISBN-10 #:
0486472205
ISBN-13 #:
978-0486472201
Country:
Pakistan
License:
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Introduction
2. Some Basic Topological Properties of R^p
3. Upper and Lower Limits of Sequences of Real Numbers
4. Continuous Functions
5. Differentiation
6. Riemann-Stieltjes Integration
7. Unifom Convergence and Applications
8. Further Topological Results
9. Epilogue
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