Real Analysis - with an Introduction to Wavelet Theory
Book Details
Format
Paperback / Softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821821040
ISBN-13
9780821821046
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jul 30th, 2000
Print length
256 Pages
Weight
487 grams
Product Classification:
Real analysis, real variables
Ksh 25,400.00
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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.
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 of this title include the core subjects of real analysis and 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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