发表于2024-10-31
书[0名0]: | 数[0学0]分析原理(英文版·[0第0]3版)|15475 |
图书定价: | 35元 |
图书作者: | (美)Walter Rudin |
出版社: | [1机1] 械工业出版社 |
出版日期: | 2004/1/1 0:00:00 |
ISBN号: | 7111133064 |
开本: | 16开 |
页数: | 342 |
版次: | 3-1 |
内容简介 |
这是一部近代的数[0学0][0名0]著,一直受到数[0学0]界的推崇。作为Rudin的分析[0学0]经典著作之一,本书在西方各[0国0]乃至我[0国0]均有着广泛而深远的影响,被许多高校用做数[0学0]分析课的必选教材。本书涵盖了高等微积分[0学0]的丰富内容,精彩的部分集中在基础拓扑结构,函数项序列与级数。多变量函数以及微分形式的积分等章节。[0第0]3版经过增删与修订,更加符合[0学0]生的阅读习惯与思考方式。 本书内容相[0当0]精练,结构简单明了,这也是Rudin著作的一[0大0]特色。与其说这是一部教科书,不如说这是一部字典。 |
目录 |
Preface Chapter 1 The Real and Complex Number Systems Introduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2 Basic Topology Finite, Countable, and Uncountable Sets Metric Spaces Compact Sets Perfect Sets Connected Sets Exercises Chapter 3 Numerical Sequences and Series Convergent Sequences Subsequences Cauchy Sequences Upper and Lower Limits Some Special Sequences Series Series of [0No0]nnegative Terms The Number e The Root and Ratio Tests Power Series Summation by Parts Absolute Convergence Addition and Multiplication of Series Rearrangements Exercises Chapter 4 Continuity Limits of Functions Continuous Functions Continuity and Compactness Continuity and Connectedness Discontinuities Mo[0no0]tonic Functions Infinite Limits and Limits at Infinity Exercises Chapter 5 Differentiation The Derivative of a Real Function Mean Value Theorems The Continuity of Derivatives L'Hospital's Rule Derivatives of Higher Order Taylor's Theorem Differentiation of Vector-valued Functiond Exercises Chapter 6 The Riemann-Stieltjes Integral Definition and Existence of the Integral Properties of the Integral Integration and Differentiation Integration of Vector-valued Functions Rectifiable Curves Exercises Chapter 7 Sequences and Series of Functions. Discussion of Main Problem Uniform Convergence Uniform Convergence and Continuity Uniform Convergence and Integration Uniform Convergence and Differentiation Equicontinuous Families of Functions The Stone-Weierstrass Theorem Exercises Chapter 8 Some Special Functions Power Series The Exponential and Logarithrmic Functions The Trigo[0no0]metric Functions The Algebraic Completeness of the Complex Field Fourier Series The Gamma Function Exercises Chapter 9 Functions of Several Variables Linear Transformations Differentiation The Contraction Principle The Inverse Function Theorem The Implicit Function Theorem The Rank Theorem Determinants Derivatives of Higher Order Differentiation of Integrals Exercises Chapter 10 Integration of Differential Forms Integration Primitive Mappings Partitions of Unity Change of Variables Differential Forms Simplexes and Chains Stokes' Theorem Closed Forms and Exact Forms Vector Analysis Exercises Chapter 11 The Lebesgue Theory Set Functions Construction of the Lebesgue Measure Measure Spaces Measurable Functions Simple Functions Integration Comparison with the Riemann Integral Integration of Complex Functions Functions of Class 2 Exercises Bibliography List of Special Symbols Index |
编辑推荐 |
这是一部近代的数[0学0][0名0]*,一直受到数[0学0]界的推崇。作为Rudin的分析[0学0]经典*作之一,本书在西方各[0国0]乃至我[0国0]均有着广泛而深远的影响,被许多高校用做数[0学0]分析课的必选教材。本书涵盖了高等微积分[0学0]的丰富内容,*精彩的部分集中在基础拓扑结构、函数项序列与级数、多变量函数以及微分形式的积分等章节。[0第0]3版经过增删与修订,*加符合[0学0]生的阅读习惯与思考方式。本书内容相[0当0]精练,结构简单明了,这也是作者*作的一[0大0]特色。与其说这是一部教科书,不如说这是一部字典。 |
包邮 数学分析原理(英文版 第3版)|15475 下载 mobi pdf epub txt 电子书 格式 2024
包邮 数学分析原理(英文版 第3版)|15475 下载 mobi epub pdf 电子书包邮 数学分析原理(英文版 第3版)|15475 mobi epub pdf txt 电子书 格式下载 2024