高等數學 (上) (英文版第2版) 陳文彥馬紅鋁 9787576613896 【台灣高等教育出版社】

Name: 高等數學 (上) (英文版 第2版) 陳文彥 馬紅鋁 9787576613896 【台灣高等教育出版社】
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物品所在地：中國大陸
原出版社：東南大學

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書名：高等數學 (上) (英文版第2版)
ISBN：9787576613896
出版社：東南大學
著編譯者：陳文彥馬紅鋁
頁數：298
所在地：中國大陸 *此為代購商品
書號：1637393
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內容簡介

本書是為響應東南大學國際化需求，根據國家教育部非數學專業數學基礎課教學指導分委員會制定的《工科類本科數學基礎課程教學基本要求》，並結合東南大學多年教學改革實踐經驗編寫的全英文教材。全書分為上、下兩冊，此為上冊，主要內容包括極限和連續、一元函數微分學、一元函數積分學、常微分方程等。本書按國內高等數學教材體系進行編排，相比國外教材要簡潔，同時兼顧美國教材重視應用、便於自學的特點。本書可作為高等院校工科類專業本科生學習高等數學的英文教材，也可供其他專業學生選用和相關科技工作者參考。

Chapter 1 Limit and Continuity
1 1 Functions
1 1 1 Mopping
1 1 2 Function of Single Vorioble
1 1 3 Elementory Functions ond Hyperbolic Functions
Exercise 1 1
1 2 The Concept of Limits and its Properties
1 2 1 Limits of Sequence
1 2 2 Limits of Functions
1 2 3 Properties of Limits
Exercise 1 2
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 3
1 4 Infinitesimal and Infinite
1 4 1 Infinitesimal
1 4 2 Infinite
1 4 3 Comparison between Infinitesimal
Exercise 1 4
1 5 Continuous Function
1 5 1 Continuity
1 5 2 Continuity of Elementary Functions
1 5 3 Discontinuity
1 5 4 Theorems about Continuous Functions on a Closed Interval
Exercise 1 5
Chapter Review Exercise
Chapter 2 Differentiation
2 1 The Derivative
2 1 1 Two Problems with one Theme
2 1 2 Definition of the Derivative
2 1 3 Geometric Interpretation of the Derivative
2 1 4 The Relationship between Differentiability and Continuity
Exercise 2 1
2 2 Finding Rules for Derivative
2 2 1 Derivative of Basic Elementary Functions
2 2 2 Derivative of Arithmetic Combination
2 2 3 The Derivative Rule for Inverses
2 2 4 Derivative of Composition
2 2 5 Implicit Differentiation
2 2 6 Parametric Differentiation
2 2 7 Related Rates of Change
Exercise 2 2
2 3 Higher-Order Derivatives
Exercise 2 3
2 4 Differentials
2 4 1 Definition of Differentials
2 4 2 Differential Rules
2 4 3 Application of Differentials in Approximation
Exercise 2 4
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 2 5
2 6 L'Hopital's Rule
2 6 1 Indeterminate Forms of Type 0/0
2 6 2 Indeterminate Forms of Type ∞/∞
2 6 3 Other Indeterminate Forms
Exercise 2 6
2 7 Taylor's Theorem
Exercise 2 7
2 8 Applications of Derivatives
2 8 1 Monotonicity
2 8 2 Local Extreme Values
2 8 3 Global Maxima and Minima
2 8 4 Concavity
2 8 5 Asymptote
2 8 6 Graphing Functions
Exercise 2 8
Chapter Review Exercise
Chapter 3 Integration
3 1 The Definite Integral
3 1 1 Two Examples
3 1 2 Properties of Definite Integral
Exercise 3 1
3 2 The Fundamental Theorem
3 2 1 Newton-Leibniz Formula
3 2 2 The First Fundamental Theorem of Calculus
Exercise 3 2
3 3 The Indefinite Integral
3 3 1 The Definition of Indefinite Integral
3 3 2 Substitution in Indefinite Integrals
3 3 3 Indefinite Integration by Parts
3 3 4 Indefinite Integration of Rational Functions by Partial Fractions
Exercise 3 3
3 4 Techniques of Definite Integration
3 4 1 Substitution in Definite Integrals
3 4 2 Definite Integration by Parts
Exercise 3 4
3 5 Applications of Definite Integrals
3 5 1 Infinite Sum Theorem
3 5 2 Area between Two Curves
3 5 3 Volumes of Solids
3 5 4 Lengths of Plane Curves
3 5 5 Areas of Surface of Revolution
3 5 6 Mass and Center of Mass
3 5 7 Work and Fluid Force
Exercise 3 5
3 6 Improper Integrals
3 6 1 The proposition of Improper Integrals
3 6 2 Improper Integrals Infinite Limits of Integration
3 6 3 Improper Integrals: Infinite Integrands
Exercise 3 6
3 7 Tests for Improper Integrals
3 7 1 Test for Improper Integrals: Infinite Limits of Integration
3 7 2 Test for Improper Integrals Infinite Integrands
3 7 3 The Gamma Function
Exercise 3 7
Chapter Review Exercise
Chapter 4 Differential Equations
4 1 Differential Equations of the First Order
4 1 1 The Concept of Differential Equations
4 1 2 Equations with Variable Sepa
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