Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis, Volume IV) free ebook download.

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Functional Analysis: Introduction to Further Topics in Analysis (Princeton Lectures in Analysis, Volume IV) free ebook download

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Author(s):	Elias M. Stein, Rami Shakarchi

Date:	2011	Format:	pdf	Language:	English	ISBN/ASIN:	0691113874
Pages:	448	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	9/17/2024 5:57:15 AM

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0691113874 pdf
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.

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Tags: Analysis Analysis Analysis Functional Further Introduction Lectures Princeton Topics Volume

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