作者：陈文彦马红铝
页数：292
出版社：东南大学出版社
出版日期：2020
ISBN：9787564189464
电子书格式：pdf/epub/txt
内容简介
本书是根据国家教育部非数学专业数学基础课教学指导分委员会制定的工科类本科数学基础课程教学基本要求，并结合东南大学多年教学改革实践经验编写的全英文教材。全书分为上、下两册，此为上册，主要包括极限，一元函数微积分及其应用和常微分方程四部分。
目录
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
