Introduction to Real Analysis

E.Bright Wilson, Michael J Schramm

ISBN 10: 0486469131 / ISBN 13: 9780486469133

Published by Dover Publications Inc., US, 2009

About this Item

Seller Inventory # LU-9780486469133

Bibliographic Details

• Title: Introduction to Real Analysis
• Publisher: Dover Publications Inc., US
• Publication Date: 2009
• Language: English
• ISBN 10: 0486469131
• ISBN 13: 9780486469133
• Binding: Paperback
• Condition: New
• Dimensions: 13.97W x 2.01H x 21.59D centimeters 13.97 centimeters width by 2.01 centimeters height by 21.59 centimeters depth
• Weight: 398 grams

About this title

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.