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商品名称：Thomas Calculus托马斯微积分英文版第11版影印版下册第十一版微积分教材微积分辅导书大学数学微积分教程高等教育出版社

商品编号：555953843240

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重量：0.000千克

上架时间：2021-09-23 09:15:11

ISBN编号：9787040452549

书名：托马斯微积分,托马斯微积分

作者：韦尔,哈斯,吉尔当诺

出版社名称：高等教育出版社

定价：64.00元

是否是套装：否

产品名称：托马斯微积分

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Preface
Preliminaries
1.1 Real Numbers and the Real Line
1.2 Lines, Circles, and Parabolas
1.3 Functions and Their Graphs
1.4 Identifying Functions; Mathematical Models
1.5 Combining Functions; Shifting and Scaling Graphs
1.6 Trigonometric Functions
1.7 Graphing with Calculators and Computers
QUESTIONS TO GUIDE YOUR REVIEW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Limits and Continuity
2.1 Rates of Change and Limits
2.2 Calculating Limits Using the Limit Laws
2.3 The Precise Definitioof a Limit 91
2.4 One-Sided Limits and Limits at Infinity
2.5 Infinite Limits and Vertical Asymptotes
2.6 Continuity
2.7 Tangents and Derivatives
QUESTIONS TO GUIDE YOUR REVIEW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Differentiation
3.1 The Derivative as a Function
3.2 DifferentiatioRules
3.3 The Derivative as a Rate of Change
3.4 Derivatives of Trigonometric Functions
3.5 The ChaiRule and Parametric Equations
3.6 Implicit Differentiation
3.7 Related Rates
3.8 Linearizatioand Differentials
QUESTIONS TO GUIDE YOUR REVIEW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Applications of Derivatives
4.1 Extreme Values of Functions
4.2 The MeaValue Theorem
4.3 Monotonic Functions and the First Derivative Test
4.4 Concavity and Curve Sketching
4.5 Applied OptimizatioProblems
4.6 Indeterminate Forms and UH6pital's Rule
4.7 Newton's Method
4.8 Antiderivatives
QUESTIONS TO GUIDE YOUR REVmW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Integration
5.1 Estimating with Finite Sums
5.2 Sigma Notatioand Limits of Finite Sums
5.3 The Definite Integral
5.4 The Fundamental Theorem of Calculus
5.5 Indefinite Integrals and the SubstitutioRule
5.6 Substitutioand Area BetweeCurves
QUESTIONS TO GUIDE YOUR REVIEW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Applications of Definite Integrals
6.1 Volumes by Slicing and RotatioAbout aAxis
6.2 Volumes by Cylindrical Shells
6.3 Lengths of Plane Curves
6.4 Moments and Centers of Mass
6.5 Areas of Surfaces of Revolutioand the Theorems of Pappus
6.6 Work 447
6.7 Fluid Pressures and Forces
QUESTIONS TO GUIDE YOUR REVIEW 461
PRACTICE EXERCISES 461
ADDITIONAL AND ADVANCED EXERCISES 464
Transcendental Functions
7.1 Inverse Functions and Their Derivatives
7.2 Natural Logarithms
7.3 The Exponential Function
7.4 ax and logax
7.5 Exponential Growth and Decay
7.6 Relative Rates of Growth
7.7 Inverse Trigonometric Functions
7.8 Hyperbolic Functions
QUESTIONS TO GUIDE YOUR REVIEW
PRACTICE EXERCISES
ADDITIONAL AND ADVANCED EXERCISES
Techniques of IntegraUon
8.1 Basic IntegratioFormulas
8.2 Integratioby Parts

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