简明积分导论(第3版影印版)(英文版)

D.W.斯特鲁克著的《简明积分导论（第3版影印版 ）（英文版）》是一部关注度很高的教科书，内容独 特、简明，逻辑性强，自成一体，为有志成为全职分 析师、物理学家、工程师和经济师的读者，介绍了测 度论基础知识。与上一版相比，第3版新增傅里叶变换 一章。本书的另一个突出特点是书后附有全部习题解 答。本书也可作为相关专业的读者自学读本。

Preface to Third Edition Preface to Second Edition Preface to First Edition Chapter I The Classical Theory 1.1 Riemann Integration 1.2 Riemann-Stieltjes Integration Chapter II Lebesgue Measure 2.0 The Idea 2.1 Existence 2.2 Euclidean Invariance Chapter III Lebesgue Integration 3.1 Measure Spaces 3.2 Construction of Integrals 3.3 Convergence of Integrals 3.4 Lebesgue's Differentiation Theorem Chapter IV Products of Measures 4.1 Fubini's Theorem 4.2 Steiner Symmetrization and the Isodiametric Inequality Chapter V Changes of Variable 5.0 Introduction 5.1 Lebesgue vs. Riemann Integrals 5.2 Polar Coordinates 5.3 Jacobi's Transformation and Surface Measure 5.4 The Divergence Theorem Chapter VI Some Basic Inequalities 6.1 Jensen, Minkowski, and Holder 6.2 The Lebesgue Spaces 6.3 Convolution and Approximate Identities Chapter VII Elements of Fourier Analysis 7.1 Hiobert Space 7.2 Fourier Series 7.3 The Fourier Transform, L1-theory 7.4 Hermite Functions 7.5 The Fourier Transform, L2-theory Chapter VIII A Little Abstract Theory 8.1 An Existence Theorem 8.2 The Radon-Nikodym Theorem Solution Manual Notation Index