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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.
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Synopsis
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., Portla
About the Author
Richard Johnsonbaugh was a professor at DePaul University.
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Foundations of Mathematical Analysis
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Foundations of Mathematical Analysis
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Dover Publications, Incorporated, 2002
ISBN 10: 0486421740
ISBN 13: 9780486421742
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