微积分(英文版·原书第8版)——时代教育·国外高校优秀教材精选

分类: 图书,自然科学,数学,微积分 ,
作者: (美)沃伯格(Larberg,D.) 等著
出 版 社: 机械工业出版社
出版时间: 2004-1-1字数: 1372000版次: 1页数: 796印刷时间: 2004/01/01开本:印次:纸张: 胶版纸I S B N : 9787111107057包装: 平装内容简介
本书是在美国大学中使用面较广的微积分教材之一。内容包括一元微积分(函数、极限、函数连续性、导数及其应用、积分及其应用、不定型的极限及广义积分、级数、数值方法及逼近)、多元微积分(空间解析几何、向量、多元函数的导数与二重三重积分以及向量场的微积分)和微分方程。本书不仅重视应用,便于自学、习题和内容丰富,而且强调数学业的严谨性。本书可作为理工科本科生、研究生的微积分教材和参考书。
目录
序
出版说明
Preface
1 Preliminaries
1.1 The Real Number System
1.2 Decimals,Calculators,Estimation
1.3 Inequalities
1.4 Absolute Values,Square Roots,Squares
1.5 The Rectangular Coordinate Sytem
1.6 The Straight Line
1.7 Graphs of Equations
1.8 Chapter Erview
Technology Project 1.1 Graphing
Technology Project 1.2 Solving Equations by Xooming
2 Functions and Limits
2.1 Functions and Their Graphs
2.2 Operations on Functions
2.3 The Trigonometric Functions
2.4 Introduction to Linits
2.5 Rigorus Study of Limits
2.6 Limit Theorems
2.7 Limits Involving Trigonometric Functions
2.8 Linits at Infinity,Infinite Limits
2.9 Continuity of Functions
2.10 Chapter Review
2.11 Additional Problems
Technology Project 2.1 Shifting and Scaling the Graph of a Function
Technology Project 2.2 Limits
3 The Derivative
……
4 Applications of the Derivative
5 The integral
6 Applications of the integral
7 Transcendental Functions
8 Techniques of integration
9 Indeterminate Forms and Improper Integrals
10 Infinite Series
11 Numerical Methods, Approximations
12 Conics and Polar Coordinates
13 Geometry in the Plane,Vectors
14 Geometry in Space, Vectors
15 The Derivative in n-Space
16 The Integral in n-Space
17 Vector Calculus
18 Differential Equations
Appendix
Answers to Odd-Numbered Problems
Index
Photo Credits