Description: Functional Analysis : Introduction to Further Topics in Analysis, Hardcover by Stein, Elias M.; Shakarchi, Rami, ISBN 0691113874, ISBN-13 9780691113876, Brand New, Free shipping in the US "This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banachspaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of th introducesreaders to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis,and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout th, the authors focus on key results in each area and stress the organic unity of the subject. A comprehensive and authoritative text that treats some of the main topics of modern analysis. A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables. Key results in each area discussed in relation to other areas of mathematics. Highlights the organic unity of large areas of analysis traditionally split into subfields. Interesting exercises and problems illustrate ideas. Clear proofs provided" --
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Book Title: Functional Analysis : Introduction to Further Topics in Analysis
Number of Pages: 448 Pages
Publication Name: Functional Analysis BK. 4 : Introduction to Further Topics in Analysis
Language: English
Publisher: Princeton University Press
Item Height: 1.5 in
Subject: Functional Analysis, Mathematical Analysis
Publication Year: 2011
Type: Textbook
Item Weight: 17 Oz
Subject Area: Mathematics
Item Length: 11.1 in
Author: Rami Shakarchi, Elias M. Stein
Item Width: 5.5 in
Format: Hardcover
