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
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