Real Analysis - with an Introduction to Wavelet Theory

ISBN-13: 9780821821046 / Angielski / Miękka / 2000 / 256 str.

Japan) Sendai Satoru (Tohoku University Igari

Opis

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.