Brief Calculus()（second Edition）简明微积分及其应用（第2版）
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作者： （美）阿姆斯特朗（Armstrong，B.），（美）戴维斯（Davis，D.）
出 版 社： 高等教育出版社
出版时间： 2004-11-1字数： 880000版次： 1页数： 701印刷时间： 2004/11/01开本：印次：纸张： 胶版纸I S B N ： 9787040155587包装： 平装内容简介
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目录
Chapter 1 Functions,Models,and Average Rate of Change
1.1 The Coordinate System and Functions
1.2 Introduction to Problem Solving
1.3 Linear Functions and Average Rate of Change on an Interval
1.5 Operations on Functions
1.6 Rational,Radical,and Power Functions
1.7 Exponential Functions
1.8 Logarithmic Functions
1.9 Modeling Data with Functions(Optional Section-Requires Graphing Calculator)
Chapter Review Exercises
Chapter 1 Project
Chapter 2 Limits,Instantaneous Rate of Change,and the Derivative
2.1 Limits
2.2 Limits and Asymptotes
2.3 Problem Solving:Rates of Change
2.4 The Derivative
2.5 Derivatives of Constants,Powers,and Sums
2.6 Derivatives of Products and Quotients
2.7 Continuity and Nondifferentiability
Chapter Review Exercises
Chapter 2 Project
Chapter 3 Applications of the Derivative
3.1 The Differential and Linear Approximations
3.2 Marginal Analysis
3.3 Measuring Rates and Errors
Chapter Review Exercises
Chapter 3 Project
Chapter 4 Additonal Differentiation Techniques
4.1 The Chain Rule
4.2 Derivatives of Logarithmic Functions
4.3 Derivatives of Exponential Functions
4.4 Implicit Differentiation and Related Rates
4.5 Elasticity of Demand
Chapter Review Exercises
Chapter 4 Project
Chapter 5 Further Applications of the Derivative
5.1 First Derivatives and Graphs
5.2 Second Derivatives and Graphs
5.3 Graphical Analysis and Curve Sketching
5.4 Optimizing Functions on a Closed Interval
5.5 The Second Derivative Test and Optimization
Chapter Review Exercises
Chapter 5 Project
Chapter 6 Integral Calculus
Chapter 7 Applications of Integral Calculus
Chapter 8 Calculus of Several Variables
Appendix A Essentials of Algebra
Appendix B Calculator Porgrams
Appendix C Selected Proofs
Appendix D Photo and IIIustration Credits
Answers to Odd-Numbered Exercises
Index
