托馬斯微積分（影印版·第十版）下冊

內(nèi)容概要

在我國已經(jīng)加入WT0、經(jīng)濟全球化的今天，為適應(yīng)當前我國高校各類創(chuàng)新人才培養(yǎng)的需要，大力推進教育部倡導(dǎo)的雙語教學(xué)，配合教育部實施的“高等學(xué)校教學(xué)質(zhì)量-9教學(xué)改革工程”和“精品課程”建設(shè)的需要，高等教育出版社有計劃、大規(guī)模地開展了海外優(yōu)秀數(shù)學(xué)類系列教材的引進工作。    高等教育出版社和Pearson Education，John Wiley&Sons，McGraw-Hill，Thomson Learnin9等國外出版公司進行了廣泛接觸，經(jīng)國外出版公司的推薦并在國內(nèi)專家的協(xié)助下，提交弓I進版權(quán)總數(shù)100余種。收到樣書后，我們聘請了國內(nèi)高校一線教師、專家、學(xué)者參與這些原版教材的評介工作，并參考國內(nèi)相關(guān)專業(yè)的課程設(shè)置和教學(xué)實際情況，從中遴選出了這套優(yōu)秀教材組織出版。    這批教材普遍具有以下特點：（1）基本上是近3年出版的，在國際上被廣泛使用，在同類教材中具有相當?shù)臋?quán)威性；（2）高版次，歷經(jīng)多年教學(xué)實踐檢驗，內(nèi)容翔實準確、反映時代要求；（3）各種教學(xué)資源配套整齊，為師生提供了極大的便利；（4）插圖精美、豐富，圖文并茂，與正文相輔相成；（5）語言簡練、流暢、可讀性強，比較適合非英語國家的學(xué)生閱讀。

作者簡介

作者：（美國）芬尼 （美國）韋爾 （美國）吉爾當諾 編者：芬尼

書籍目錄

To the InstructorTo the StudentP 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, APPLICATIONS1 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, APPLICATIONS2 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, APPLICATIONS3 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  Newton's Method  QUESTIONS TO GUIDE YOUR REVIEW  PRACTICE EXERCISES  ADDITIONAL EXERCISES: THEORY, EXAMPLES, APPLICATIONS4 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, APPLICATIONS5 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 Equations7 Integration Techniques, L'Hopital's Rule and Improper Integrals8 Infinite Series9 Vectors in the Plane and Polar Functions10 Vectors and motion in Space11 Multivariable Functions and Their  Derivatives12 Multiple Integrals13 Integration in Vector FieldsAppendicesAnswersIndexA Brief Table of Integrals

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