Introduction to Real Analysis (Dover Books on Mathematics)
Schramm, Michael J.
ISBN 10: 0486469131 ISBN 13: 9780486469133
Published by Dover Publications, 2008
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Synopsis:
This text forms a bridge between courses in calculus and real analysis. It focuses on the construction of mathematical proofs as well as their final content. Suitable for upper-level undergraduates and graduate students of real analysis, it also provides a vital reference book for advanced courses in mathematics.The four-part treatment begins with an introduction to basic logical structures and techniques of proof, including discussions of the cardinality concept and the algebraic and order structures of the real and rational number systems. Part Two presents in-depth examinations of the completeness of the real number system and its topological structure. Part Three reviews and extends the previous explorations of the real number system, and the final part features a selection of topics in real function theory. Numerous and varied exercises range from articulating the steps omitted from examples and observing mechanical results at work to the completion of partial proofs within the text.
About the Author: Michael J. Schramm has a Ph.D. from Syracuse University.
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Bibliographic Details
Title: Introduction to Real Analysis (Dover Books ...
Publisher: Dover Publications
Publication Date: 2008
Binding: Soft cover
Condition: Good