高等微积分（英文版）|经典原版书库|（美）Patrick M.Fitzpatrick|机械工业出版社

[放大封面]

【相关下载】

【二手书】
本产品共有 0 册二手书出售，最低价：￥.00 [查看]

推荐图书

	数学（上，下册）作者:杨文娟
	数学（上册）作者:
	电磁场数值计算法与MATLAB... 作者:何红雨
	数学小丛书(共18册) 作者:华罗庚
	数学（下册）作者:王旸兴
	数学物理方法作者:严镇军

用户购买本书还购买了

· 弹性理论（第3版·影印版）

· 工程光学第2版

· 流体力学（第5版）（英文影印版...

· 数学物理中的全局分析——几何及...

· 特殊函数（影印版）

· 自动控制原理与设计（英文版·第...

· 复变函数及应用（英文版·第7版...

· 泛函分析（英文版第2版）

· 电子商务（英文版.第6版）

· 编译原理与实践（英文版）

金书共建·What's this?

[分类共建] ·所有未分类图书查看
本书当前分类：
数学综合
我觉得本书应分到此类中：

[金书WIKI]
[ 编辑 ]当前页面使本书内容更加完善

[资源共建]
·提交本书书摘 ·提交本书相关资源

高等微积分（英文版）

您想读这本书吗？
原书名：Adbanced Calculus A Course in Mathematical Analysis	原出版社：Thomson
作者：（美）Patrick M.Fitzpatrick	出版社：机械工业出版社
译者：	丛书名：经典原版书库
出版日期：2003-5-1	上架日期：2005-10-8
ISBN：7111119177	页数：版次：1-3
开本：16开	装帧：
读者对象：本科生、研究生

市场价：~~￥69.00~~

贵宾会员价：￥51.75
高级会员价：￥53.82
普通会员价：￥55.20

金书豆豆(What's this?)

种一个豆豆，书价我来定！

我要种一个豆豆

【您的购物车】

购买册数：


货到付款：北京、上海、天津、广州、深圳、湖北、河南、山西、陕西、山东、四川、重庆、浙江更多查看>>

本书有特价样书提供，数量有限，预购从速 [购买本书特价书] [查看全部特价书]

| 大封面 | 封底 | 前言 | 内容简介 | 序言 | 目录 | 作者简介 | 译者简介 | 作者序 | 译者序 |

【读者评论】

内容简介
数学分析已经根桓于自然科学和社会科学的各个学科分支之中。微积分作为数学分析的基础，不仅要为全部数学方法和算法工具提供方法论，同时还要为人们灌输逻辑思维的方法。本书在实现这一目标中取得了引人注目的成果，读者从中不仅可以获得微积分的知识，还会受到数学科学思维的训练。
本书适台作为对数学分析基础有一定要求的理工科专业本科生、研究生的教材。全书可分两个学期讲解。
本书特点：
■本书一方面按传统的和严格的演绎形式介绍微积分的所有主题，另一方面强调主题的相关姓和统一姓，从整体的、系统的高度来组织材料
■书中第一部分讲述单变量函数的微积分，包括实数、数列的收敛、因数的连续姓和极限、函数的导数和积分、多项式逼近，第二部分把稳积分的概念推广到多维欧几里得空间，讨论多变量因数的编导数、反函数、隐函数及其应用、线积分和面积分
■专门用一章讨论度量空间，在欧几里得空间讨论微积分所引入的许多概念和导出的结果都可以在这个更抽象的空间中讨论
■书中附有许多习题，具有一定难度

目录
伸缩显示:

[弹出查看]

Contents
Preface
Preliminaries 1
1   The Real Numbers 6
1.1 The Completeness Axiom: The Natural, Rational,and Irrational Numbers 6
1.2 The Archimedean Property and the Density of the Rationals and the Irrationals 12
1.3 Three Inequalities and Three Algebraic Identities
2   Sequenees of Real Numbers
2.1 The Convergence of Sequences
2.2 Monotone Sequences, the Bolzano-Weierstrass Theorem, and the Nested Interval Theorem
3  Continuous Functions and Limits 42
3.1 Continuity 42
3.2 The Extreme Value Theorem 47
3.3 The Intermeediate Value Theorem 49
3.4 Images and Inverses 54
3.5 An Equivalent Definition of Continuity;Uniform Continuity 56
3.6 Limits 61
4  Differentiation 68
4.1 The Algebra of Derivatives
4.2 Differentiating Inverses and Compositions 76
4.3 The Lagrange Mean Value Theorem and Its Geometric Consequences
4.4 The Cauchy Mean Value Theorem and Its Analytic Consequences 90
4.5 A Fundamental Differential Equation 93
4.6 The Notation of Leibnitz 96
5  The Elementary Functions as Solutions of Differential Equations 98
5.1 The Natural Logarithm and the Exponential Functions 98
5.2 The Trigonometric Functions 104
5.3 The Inverse Trigonometric Fundions 110
6  Integration 113
6.1 Motivation for the Definition 113
6.2 The Definition of the Integral and Criteria for Integrability 115
6.3 The First Fundamental Theorem of Calcuius 124
6.4 The Convergence of Darboux Sums and Riemann Sums 129
6.5 Linearity Monotonicity and Additivity over Intervals 136
7  The Second Fundamental Theorem and Its Consequenees 141
7.1 The Second Fundamental Theorem of Calculus 141
7.2 The Existence of Solutions of Differentia! Equations 14e
7.3 The Verification ofTwo Classical Integration Methods 152
7.4 The Approximation of Integrals 156
8  Approximation by Taylor Polynomials 165
8.1 Taylor Polynomials and Order of Conbact 165
8.2 The Lagrange Remainder Theorem 168
8.3 The Convergence of Taylor Polynomials 174
8.4 A Power Series for the Logarithm 177
8.5 The Cauchy Integral Remainder Formula and the Binomial Expansion 180
8.6 An Infinitely Differentiable Fundion That Is Not Analytic 185
8.7 The Weierstrass Approximation Theorem 188
9  The Convergenee of Sequences and Series of Functions 192
9.1 Sequences and Series of Numbers 192
9.2 Pointwise Convergence and Uniform Convergence of 5equences of Fundions 2e4
9.3 The Uniform Limit of Continuous Functions, of Integrable Fundions, and of Differentiable Fundions 211
9.4 Power Series 216
9.5 A Continuous Function That Fails at Each Point to Be Differentiable 224
10  The Euelidean Space R" 229
10.1 The Linear Structure of R and the Inner Produa 229
10.2 Convergence of Sequences in R' 237
10.3 Interiors, Exteriors, and Boundaries of Subsets of R' 242
11  Continuity, Compactness, and Conneetedness  249
11.1 Continuity of Fundions and Mappings 249
11.2 Compactness and the Extreme Value Theorem 257
11.3 Connectedness and the Intermediate Value Theorem 261
12  Metrie Spaees 270
12.1 Open Sets, Closed Sets, and Sequential Convergence 270
12.2 Completeness and the Contraction Mapping Principle 277
12.3 The Existence Theorem for Nonlinear Differential Equations 284
12.4 Continuous Mappings Between Metric Spaces 293
12.5 Compactness and Connectedness 297
13  Partial Differentiability of Real-Valued Funetions of Several Variables 303
13.1 Limits 303
13.2 Partial Derivatives 309
13.3 The Mean Value Theorem and Directional Derivatives 320
14  Local Approximation of Real-Valued Functions 328
14.1 First-Order Approximation,Tangent Planes, and Affine Functions 328
14.2 Quadratic Functions, Hessian Matrices, and Second Derivatives 336
14.3 Second-Order Approximation and the Second-Derivative Test 344
15  Approximating Nonlinear Mappings by Linear Mappings 352
15.1 Linear Mappings and Natrices 352
15.2 The Derivative Natrix,The Differential and First-Order Approximation 365
15.3 The Chain Rule 372
16  Images and Inverses: The Inverse Function Theorem 380
16.1 Functions of a Single Variable and Maps in the Plane 380
16.2 Stability of Nonlinear Mappings 388
16.3 A Minimization Principle and the General Inverse Function Theorem 391
17  The Implieit Function Theorem and Its Applications 399
17.1 The Solutions of a Scalar Equation in Two Unknowns:Dini's Theorem 399
17.2 Underdetermined Systems of Nonlinear Equations:The General Implicit Function Theorem 407
17.3 Equations of Surfaces and Curves in R3 413
17.4 Constrained Extrema Problems andv Lagrange Nutipliers 418
18  Integration for Fundions of Several Variables 428
18.1 Integration over Generalized Redangles 428
18.2 Integration over Jordan Domains 442
18.3 Iterated Integration: Fubini's Theorem 453
18.4 Change of Variables 460
19  Line and Surface Integrals 473
19.1 Arclength and Line Integrals 473
19.2 Surface Area and Surface Integrals 485
19.3 The Integral Formulas of Green and Stokes 494
A  Consequenees of the Field and Positivity Axioms AI
B  Linear Algebra A7
Answer Seetion A23
Index I-I

伸缩显示:

[弹出查看]

编辑荐语

[您可以向编辑推荐本书的亮点，采纳后奖励５－１０元优惠卷]（一个工作日内处理您的建议）

数学分析已经根桓于自然科学和社会科学的各个学科分支之中。微积分作为数学分析的基础，不仅要为全部数学方法和算法工具提供方法论，同时还要为人们灌输逻辑思维的方法。本书在实现这一目标中取得了引人注目的成果，读者从中不仅可以获得微积分的知识，还会受到数学科学思维的训练。本书适台作为对数学分析基础有一定要求的理工科专业本科生、研究生的教材。

读者评论 w 查看本书所有书评

[发表您的书评，编辑将根据书评质量，予以相应的奖励]

(共0条)

关于我们 | 帮助 | 合作伙伴 | 我的帐户 | 图书馆 | 自考教材网 | 高校教材网
北京电话：010-68993821/88379639/88379641 邮箱：service@golden-book.com 传真：010-68990188
京ICP证060035号

专题 | 特价 | 书评 | 论坛 | 下载 | 新品 | 豆豆 | 鉴委会 | 共建 | 编辑博客 | 抢鲜预订 | 样章试读 | 名人签名 | 格子 | 播报

我的订单

关于配送

关于付款

售后服务

金书网