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Foundations of Mathematical Analysis (02 Edition)

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Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

Students of mathematics can learn from this classroom-tested volume about what modern analysis is and its applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. A self-contained textbook, it offers the background necessary for a firm grasp of the limit concept. (The first seven chapters could constitute a one-semester course on introduction to limits.) This is followed by a discussion of the limit of a function, a review of differential calculus, a detailed introduction to the theory of Riemann-Stieltjes integration, the study of sequences and series of functions, Fourier series, the Riesz representation theorem, and the Lebesgue integral. End-of-chapter exercises help reinforce the material, which is aimed at upper-level undergraduate students with a background in calculus, as well as to beginning graduate students who want a firm grounding in modern analysis.

Book News Annotation:

This advanced calculus textbook reviews the concept of limits, then introduces the theory of Riemann-Stieltjes integration, sequences and series of functions, Fourier series, the Riesz representation theorem, and the Lebesque integral. A slightly corrected reprint of the 1981 edition published by Marcel Dekker.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises. 1981 edition. Includes 34 figures.

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. A self-contained text, it presents the necessary background on the limit concept. (The first seven chapters could constitute a one-semester course on 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. More than 750 exercises help reinforce the material. 1981 edition. 34 figures.

Product Details

ISBN:
9780486421742
Author:
Johnsonbaugh, Richard
Author:
Pfaffenberger, W. E.
Author:
Johnsonbaugh, Richard
Publisher:
Dover Publications
Location:
Mineola, N.Y.
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Foundations
Subject:
General Mathematics
Edition Description:
Trade Paper
Series Volume:
no. 3236
Publication Date:
20020806
Binding:
Paperback
Language:
English
Illustrations:
34 figures
Pages:
448
Dimensions:
8.5 x 5.38 in 1 lb

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Related Subjects

Science and Mathematics » Mathematics » Real Analysis

Foundations of Mathematical Analysis (02 Edition) Used Trade Paper
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Product details 448 pages Dover Publications - English 9780486421742 Reviews:
"Synopsis" by ,
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises. 1981 edition. Includes 34 figures.

"Synopsis" by ,
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. A self-contained text, it presents the necessary background on the limit concept. (The first seven chapters could constitute a one-semester course on 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. More than 750 exercises help reinforce the material. 1981 edition. 34 figures.
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