《高等數學（上英文版）》是2014年9月1日東南大學出版社出版的圖書，作者是東南大學大學數學教研室。
基本介紹
- 中文名：高等數學（上英文版）
- 作者：東南大學大學數學教研室
- 出版社：東南大學出版社
- ISBN：9787564151737
內容簡介,圖書目錄,
內容簡介
《高等數學》是為回響東南大學國際化需要，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，並結合東南大學數學系多年教學改革實踐經驗編寫的全英文教材。
《高等數學》分為上、下兩冊，內容包括極限、一元函式微分學、一元函式積分學、常微分方程、級數、向量代數與空間解析幾何、多元函式微分學、多元函式積分學、向量場的積分、複變函數等十個章節。
《高等數學（上 英文版）》可作為高等理工科院校非數學類專業本科生學習高等數學的英文教材，也可供其他專業選用和社會讀者閱讀。
圖書目錄
Chapter 1 Limits
1．1 The Concept of Limits and its Properties
1．1．1 Limits of Sequence
1．1．2 Limits of Functions
1．1．3 Properties of Limits
Exercise 1．1
1．2 Limits Theorem
1．2．1Rules for Finding Limits
1．2．2 The Sandwich Theorem
1．2．3 Monotonic Sequence Theorem
1．2．4 The Cauchy Criterion
Exercise 1．2
1．3 Two Important Special limits
Exercise 1．3
1．4 Infinitesimal and Infinite
1．4．1 Infinitesimal
1．4．2 Infinite
Exercise 1．4
1．5 Continuous Function
1．5．1 Continuity
1．5．2 Discontinuity
Exercise 1．5
1．6 Theorems about Continuous Function on a Closed Interval
Exercise 1．6
Review and Exercise
Chapter 2 Differentiation
2．1 The Derivative
Exercise 2．1
2．2 Rules far Finding the Derivative
2．2．1 Derivative of Arithmetic Combination
2．2．2 The Derivative Rule for Inverses
2．2．3 Derivative of Composition
2．2．4 Implicit Differentiation
2．2．5 Parametric Differentiation
2．2．6 Related Rates of Change
Exercise 2．2
2．3 Higher-Order Derivatives
Exercise 2．3
2．4 Differentials
Exercise 2．4
2．5 The Mean Value Theorem
Exercise 2．5
2．6 L'Hopital's Rule
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 Extreme Values
2．8．4 Concavity
2．8．5 Graphing Functions
Exercise 2．8
Review and Exercise
……
Chapter 3 The Integration
Chapter 4 Differential Equations
Solutions to Selected Problem
