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微積分(上)(英文版)/陳文彥 版權(quán)信息
- ISBN:9787564189464
- 條形碼:9787564189464 ; 978-7-5641-8946-4
- 裝幀:一般膠版紙
- 冊(cè)數(shù):暫無(wú)
- 重量:暫無(wú)
- 所屬分類:>>
微積分(上)(英文版)/陳文彥 內(nèi)容簡(jiǎn)介
本書(shū)是根據(jù)國(guó)家教育部非數(shù)學(xué)專業(yè)數(shù)學(xué)基礎(chǔ)課教學(xué)指導(dǎo)分委員會(huì)制定的工科類本科數(shù)學(xué)基礎(chǔ)課程教學(xué)基本要求,并結(jié)合東南大學(xué)多年教學(xué)改革實(shí)踐經(jīng)驗(yàn)編寫(xiě)的全英文教材。全書(shū)分為上、下兩冊(cè),此為上冊(cè),主要包括極限,一元函數(shù)微積分及其應(yīng)用和常微分方程四部分。
微積分(上)(英文版)/陳文彥 目錄
1.1 Functions
1.1.1 Mapping
1.1.2 Function of Single Variable
1.1.3 Elementa ry Functions and Hyperbolic Functions
Exercise
1.2 The Concept ot Ljmits and its Properties
1.2.1 Limits of Sequence
1.2.2 Limits of Functions
1.2.3 Properties of Limits
Exercise
1.3 Rules for Finding Limits
1.3.1 Operation on Limits
1.3.2 Limits Theorem
1.3.3 Two Important Special Limits
Exercise
1.4 Infinitesimal and Infinite
1.4.1 Infinitesimal
1.4.2 Infinite
1.4.3 Compa rison between Infinitesimal
Exercise
1.5 Continuous Function
1.5.1 Continuity
1.5.2 Continuity of Elementa ry Functions
1.5.3 Discontinuity
1.5.4 Theo rems about Continuous Functions on a Closed InfervaI
Exercise
Chapter Review Exercise
Chapter 2 Differentiation
2.1 The Derivative
2.1.1 Two Prob Lems with one Theme
2.1.2 Definition of the Derivative
2.1.3 Geometric Interpretation of the De rivative
2.1.4 The Relationship between DifferentiabiIity and Continuity
Exercise
2.2 Finding Rules for Derivative
2,2.1 Derivative of Basic Elementa ry Functions
2.2.2 Derivative of Arithmetic CombinQtion
2.2.3 The Derivative Rule for Inverses
2.2.4 Derivative 04 Composition
2.2.5 Implicit DitferentiatIon
2.2.6 Parametric Dlfferentjalion
2.2.7 Related Rates Of Change
Exercise
2.3 Higher-Order Derivatives
Exercise
2.4 Differentials
2.4.1 Definition of Differentials
2.4.2 Differential Rules
2.4.3 Application of Diffe rentials in Approximation
Exercise
2.5 The Mean Value Theorem
2.5.1 Fermat’s Theorem
2.5.2 Rolle’s Theorem
2.5.3 Lagrange’s Theorem
2.5.4 Cauchy’s Theorem
Exercise
……
Chapter 3 The Integration
Chapter 4 Differential Equations
Solutions to Selected Problem
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