序 出版說明 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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