Foundations of Mathematical Analysis (Dover Books on Mathematics)

Richard Johnsonbaugh; W.E. Pfaffenberger

ISBN 10: 0486477665 / ISBN 13: 9780486477664

Published by Dover Publications, 2010

About this Item

Book is in acceptable condition and shows signs of wear. Book may also include underlining highlighting. The book can also include "From the library of" labels. May not contain miscellaneous items toys, dvds, etc. . We offer 100% money back guarantee and 24 7 customer service.

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Bibliographic Details

• Title: Foundations of Mathematical Analysis (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2010
• Language: English
• ISBN 10: 0486477665
• ISBN 13: 9780486477664
• Binding: Soft cover
• Condition: acceptable

About this title

Synopsis

This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.

About the Author

Richard Johnsonbaugh was a professor at DePaul University.