Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis) (Bk. 4)

3.5
ISBN-13: 9780691113876
ISBN-10: 0691113874
Author: Elias M. Stein, Rami Shakarchi
Publication date: 2011
Publisher: Princeton University Press
Format: Hardcover 448 pages
Category: Calculus
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Book details

ISBN-13: 9780691113876
ISBN-10: 0691113874
Author: Elias M. Stein, Rami Shakarchi
Publication date: 2011
Publisher: Princeton University Press
Format: Hardcover 448 pages
Category: Calculus

Summary

Acknowledged author Elias M. Stein wrote Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis) (Bk. 4) comprising 448 pages back in 2011. Textbook and eTextbook are published under ISBN 0691113874 and 9780691113876. Since then Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis) (Bk. 4) textbook received total rating of 3.5 stars and was available to sell back to BooksRun online for the top buyback price of $ 25.40 or rent at the marketplace.

Description

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 Banach spaces, 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 the book introduces readers 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 the book, 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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