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Dover Books On Mathematics - Lebesgue Integration (Cód: 9350989)

Williamson, J H

Dover Publications-Id

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Dover Books On Mathematics - Lebesgue Integration

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Descrição

This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult.The approach begins with sets and functions and advances to Lebesgue measure, including considerations of measurable sets, sets of measure zero, and Borel sets and nonmeasurable sets. A two-part exploration of the integral covers measurable functions, convergence theorems, convergence in mean, Fourier theory, and other topics. A chapter on calculus examines change of variables, differentiation of integrals, and integration of derivatives and by parts. The text concludes with a consideration of more general measures, including absolute continuity and convolution products.Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962.See every Dover book in print atwww.doverpublications.com This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult.The approach begins with sets and functions and advances to Lebesgue measure, including considerations of measurable sets, sets of measure zero, and Borel sets and nonmeasurable sets. A two-part exploration of the integral covers measurable functions, convergence theorems, convergence in mean, Fourier theory, and other topics. A chapter on calculus examines change of variables, differentiation of integrals, and integration of derivatives and by parts. The text concludes with a consideration of more general measures, including absolute continuity and convolution products.

Características

Peso 0.16 Kg
Produto sob encomenda Sim
Marca Dover Publications-Id
I.S.B.N. 9780486789774
Referência 031370340
Altura 22.61 cm
Largura 14.99 cm
Profundidade 0.76 cm
Número de Páginas 117
Idioma Inglês
Acabamento Brochura
Cód. Barras 9780486789774
Ano da edição 2014
AutorWilliamson, J H