簡明微積分及其應(yīng)用

內(nèi)容概要

　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(dāng)?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(zhǔn)確、反映時代要求；（3）各種教學(xué)資源配置整齊，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(qiáng)，比較適合非英語國家的學(xué)生閱讀?！　⊥ㄟ^影印、翻譯、編譯這批優(yōu)秀教材，我們一方面要不斷地分析、學(xué)習(xí)、消化吸收國外優(yōu)秀教材的長處，吸取國外出版公司的制作經(jīng)驗，提升我們自編教材的立體化配套標(biāo)準(zhǔn)，使我國高校教材建設(shè)水平上一個新臺階；與此同時，我們還將嘗試組織海外作者和國內(nèi)作者合編外文版基礎(chǔ)課數(shù)學(xué)教材，并約請國內(nèi)專家改編部分國外優(yōu)秀教材，以適應(yīng)我國實際教學(xué)環(huán)境。

作者簡介

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書籍目錄

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 ProjectChapter 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 ProjectChapter 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 ProjectChapter 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 ProjectChapter 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 ProjectChapter 6 Integral CalculusChapter 7 Applications of Integral CalculusChapter 8 Calculus of Several VariablesAppendix A Essentials of AlgebraAppendix B Calculator PorgramsAppendix C Selected ProofsAppendix D Photo and IIIustration CreditsAnswers to Odd-Numbered ExercisesIndex

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