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. This book was designed as a higher level undergraduate and graduate mathematical text. Introduction to Lebesgue Integration Real Analysis © 2001 | 588 pages
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Frank Jones, Rice UniversityFrank Jones received his bachelor's and Ph.D. degrees from Rice University. His major research interest include real analysis and partial differential equations. In addition, he has been awarded several distinguished teaching awards throughout his career at Rice. Frank's current intereest are partial differential equations and real analysis.
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