Functional Analysis pdf epub mobi txt 电子书下载 2024

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Elias M. Stein

Princeton University Press

2011-9-11

442

GBP 83.95

Hardcover

Princeton Lectures in Analysis

9780691113876

图书标签: 数学泛函分析 Stein Mathematics 分析 Analysis 教材经典

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发表于2024-11-21

Functional Analysis epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Functional Analysis pdf epub mobi txt 电子书下载 2024

图书描述

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.

Functional Analysis 下载 mobi epub pdf txt 电子书