| 《托马斯微积分》（下第10版影印版）普遍具有以下特点：（1）基本上是近3年出版的，在国际上被广泛使用，在同类教材中具有相当的权威性；（2）高版次，历经多年教学实践检验，内容翔实准确、反映时代要求；（3）各种教学资源配套整齐，为师生提供了极大的便利；（4）插图精美、丰富，图文并茂，与正文相辅相成；（5）语言简练、流畅、可读性强，比较适合非英语国家的学生阅读。 |
| To the Instructor To the Student P Preliminaries 1 Lines 2 Functions and Graphs 3 Exponential Functions 4 Inverse Functions and Logarithms 5 Trigonometric Functions and Their Inverses 6 Parametric Equations 7 Modeling Change QUESTIONS TO GUIDE YOUR REVIEW PRACTICE EXERCISES ADDITIONAL EXERCISES: THEORY， EXAMPLES， APPLICATIONS 1 Limits and Continuity 1.1 Rates of Change and Limits _ _ 1.2 Finding Limits and One-Sided Limits 1.3 Limits Involving Infinity 1.4 Continuity 1.5 Tangent Lines QUESTIONS TO GUIDE YOUR REVIEW PRACTICE EXERCISES ADDITIONAL EXERCISES: THEORY， EXAMPLES， APPLICATIONS 2 Derivatives 2.1 The Derivative as a Function 2.2 The Derivative as a Rate of Change 2.3 Derivatives of Products， Quotients， and Negative Powers 2.4 Derivatives of Trigonometric Functions 2.5 The Chain Ruleand Parametric Equations 2.6 Implicit Differentiation 2.7 Related Rates QUESTIONS TO GUIDE YOUR REVIEW PRACTICE EXERCISES ADDITIONAL EXERCISES: THEORY， EXAMPLES， APPLICATIONS 3 Applications of Derivatives 3.1 Extreme Values of Functions 3.2 The Mean Value Theorem and Differential Equations 3.3 The Shape of a Graph 3.4 Graphical Solutions of Autonomous Differential Equations 3.5 Modeling and Optimization 3.6 Linearization and Differentials 3.7 Newtons Method QUESTIONS TO GUIDE YOUR REVIEW PRACTICE EXERCISES ADDITIONAL EXERCISES: THEORY， EXAMPLES， APPLICATIONS 4 Integration 4.1 Indefinite Integrals， Differential Equations， and Modeling 4.2 Integral Rules; Integration by Substitution 4.3 Estimating with Finite Sums 4.4 Riemann Sumsand Definite Integrals 4.5 The Mean Value and Fundamental Theorems 4.6 Substitution in Definite Integrals 4.7 Numerical Integration QUESTIONS TO GUIDE YOUR REVIEW PRACTICE EXERCISES ADDITIONAL EXERCISES: THEORY， EXAMPLES， APPLICATIONS 5 Applications of Integrals 5.1 Volumes by Slicing and Rotation About an Axis 5.2 Modeling Volume Using Cylindrical Shells 5.3 Lengths of Plane Curves 5.4 Springs， Pumping， and Lifting …… 6 Transcendental Functions and Differential Equations 7 Integration Techniques， LHopitals Rule and Improper Integrals 8 Infinite Series 9 Vectors in the Plane and Polar Functions 10 Vectors and motion in Space 11 Multivariable Functions and Their Derivatives 12 Multiple Integrals 13 Integration in Vector Fields Appendices Answers Index A Brief Table of Integrals |
内容加载中，请稍后...
商品评论（0条）