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Overview
Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. Throughout the text, many exercises are incorporated, enabling students to apply new ideas immediately. Jones strives to present a slow introduction to Lebesgue integration by dealing with n-dimensional spaces from the outset. In addition, the text provides students a thorough treatment of Fourier analysis, while holistically preparing students to become workers in real analysis.
Synopsis
Lebesgue Integration On Euclidean Space Contains A Concrete, Intuitive, And Patient Derivation Of Lebesgue Measure And Integration On Rn. Throughout The Text, Many Exercises Are Incorporated, Enabling Students To Apply New Ideas Immediately. Jones Strives To Present A Slow Introduction To Lebesgue Integration By Dealing With N-Dimensional Spaces From The Outset. In Addition, The Text Provides Students A Thorough Treatment Of Fourier Analysis, While Holistically Preparing Students To Become Workers In Real Analysis.
Booknews
The treatment of integration developed by Henri Lebesgue almost a century ago rendered previous theories obsolete and has yet to be replaced by a better one. The author presents an extended introduction to Lebesgue integration, deals with n-dimensional space from the outset, and provides a thorough treatment of Fourier analysis. Other topics include Lebesgue measure, invariance, Cantor sets, algebras of sets and measurable functions, the gamma function, convolutions, and products of abstract measures. Many exercises are incorporated with the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)