Introduction to Real Analysis

Nonfiction, Science & Nature, Mathematics, Number Theory, Applied
Cover of the book Introduction to Real Analysis by Michael J. Schramm, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Michael J. Schramm ISBN: 9780486131924
Publisher: Dover Publications Publication: May 11, 2012
Imprint: Dover Publications Language: English
Author: Michael J. Schramm
ISBN: 9780486131924
Publisher: Dover Publications
Publication: May 11, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book The Communist Manifesto and Other Revolutionary Writings by Michael J. Schramm
Cover of the book Integral Equations by Michael J. Schramm
Cover of the book The Medieval Sketchbook of Villard de Honnecourt by Michael J. Schramm
Cover of the book Robin Hood by Michael J. Schramm
Cover of the book The Essential Margaret Fuller by Michael J. Schramm
Cover of the book Wildflower Designs and Motifs for Artists and Craftspeople by Michael J. Schramm
Cover of the book The Age of Innocence by Michael J. Schramm
Cover of the book The Picayune's Creole Cook Book by Michael J. Schramm
Cover of the book Masterpieces of Eighteenth-Century French Ironwork by Michael J. Schramm
Cover of the book Oriental Armour by Michael J. Schramm
Cover of the book The Rubáiyát of Omar Khayyám by Michael J. Schramm
Cover of the book Functions and Graphs by Michael J. Schramm
Cover of the book The Blue Fairy Book by Michael J. Schramm
Cover of the book The Marvellous Land of Snergs by Michael J. Schramm
Cover of the book Operators and Representation Theory by Michael J. Schramm
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy