Presents an introduction to real analysis. This text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; and distribution theory. Series: Translations of Mathematical Monographs Reprint. Num Pages: 256 pages. BIC Classification: PBKB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Weight in Grams: 487. . 2000. Paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Real Analysis--With an Introduction to Wavelet Theory (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 2000
Language: English
ISBN 10: 0821821040
ISBN 13: 9780821821046
Binding: Soft cover
Condition: New

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Synopsis

This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and wavelet theory. Features: The core subjects of real analysis. The fundamentals for students who are interested in harmonic analysis, probability or partial differential equations. This volume would be a suitable textbook for an advanced undergraduate or first year graduate course in analysis.

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The presentation is clear and rigorous.
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