医药高等数学(供来华留学生MBBS医学类专业双语及全英语教学使用英文改编版医学英文原版改编双语教材)
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广东广州
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作者马建忠
出版社科学出版社
ISBN9787030576378
出版时间2019-12
装帧平装
开本16开
定价79.8元
货号1202005849
上书时间2024-12-03
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目录
Chapter 1 Functions, Limits, and Continuity 1.1 Functions 1.1.1 Linear and Quadratic Functions 1.1.2 Concept of Function 1.1.3 Polynomial and Rational Functions 1.1.4 Exponential and Logarithmic Functions 1.1.5 Trigonometric Functions and Functional Properties 1.2 Limits of Function 1.2.1 The Concept of Limit 1.2.2 Computation of Limits 1.3 Continuity of Function 1.3.1 The Continuity of Function 1.3.2* Continuous Compounding Chapter Summary Review Exercises Chapter 2 Differentiation of One Variable 2.1 The Concept of Derivative 2.1.1 Instantaneous Velocity and Derivative 2.1.2 Slope of Tangent Line on Geometric Interpretation of Derivative 2.1.3 Definition of Derivative and Rates of Change 2.2 Computations of Derivatives 2.2.1 Techniques of the Differentiation 2.2.2 Calculation Rules of Derivative 2.3 Compound Function and Its Chain Rule 2.3.1 Compound Function and Its Chain Rule 2.3.2 Implicit Differentiation 2.4 Second-Order Derivative and Differential 2.4.1 Second-Order Derivative 2.4.2 The Concept and Computation of Differential 2.5 Application of the Derivative 2.5.1 Increasing and Decreasing Functions in the Derivative 2.5.2 Concavity and Points of Inflection of Functions 2.5.3 Relative Maximum and Relative Minimum of Functions Chapter Summary Review Exercises Chapter 3 Integration of One Variable 3.1 Indefinite Integration 3.1.1 The Concept of Indefinite Integration 3.1.2 The Computing Rules and Formulas of Indefinite Integration 3.1.3 Integration by Substitution 3.1.4 Integration by Parts 3.2 Definite Integration 3.2.1 Definite Integral and the Fundamental Theorem of Calculus 3.2.2 The Computation of Definite Integral 3.2.3 Applications of Integration 3.2.4 Improper Integrals Chapter Summary Review Exercises Chapter 4 Calculus of Several Variables 4.1 Functions of Several Variables 4.1.1 Functions of Two or More Variables 4.1.2 Graphs of Functions of Two Variables 4.2 Partial Derivatives 4.2.1 Compute and Interpret Partial Derivatives 4.2.2 Geometric Interpretation of Partial Derivatives 4.2.3 Second-order Partial Derivatives 4.2.4 The Chain Rule for Partial Derivatives 4.3 Optimizing Functions of Two Variables 4.3.1 The Extreme Value Property for a Function of Two Variables 4.3.2 Apply the Extreme Value Property to the Functions of Two Variables 4.3.3* The Method of Least-Squares 4.3.4* The Least-Squares Line 4.4 Double Integrals 4.4.1 The Double Integral over a Rectangular Region 4.4.2 Double Integrals over Nonrectangular Regions 4.4.3 The Applications of Double Integrals Chapter Summary Review Exercises APPENDIXES APPENDIX A APPENDIX B APPENDIX C English-Chinese Vocabulary
内容摘要
本书由四章组成，章函数、极限和连续性，第2章一元函数微分学，第3章一元函数积分学，第4章多变量微积分。本书为从事医学和药学的学生提供必要的数学基础知识，并引导学生直观地理解和吸收这些基础知识。以函数极限、微分、积分为基础，阐述其原理和定理，用具体实例论述一个自变量到多个自变量的微积分演绎过程。借助数学概念和理论，简明逻辑推理方法，帮助学生将临床医学、药学、分子生物学与数学结合起来，促进数学的应用。 本书适用于高等医学院校的外国学生，也适合双语教学的中国学生。
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