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Foundations of Mathematical Analysis (Dover Books on Mathematics) (Paperback)

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Description


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.

Product Details
ISBN: 9780486477664
ISBN-10: 0486477665
Publisher: Dover Publications
Publication Date: May 20th, 2010
Pages: 429
Language: English
Series: Dover Books on Mathematics