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Advanced Mathematics for Medicine医药高等数学
  • 书号:9787030576378
    作者:马建忠
  • 外文书名:
  • 丛书名:中国科学院教材建设专家委员会规划教材·医学英文原版改编双语教材
  • 装帧:平装
    开本:16(23k)
  • 页数:107
    字数:265000
    语种:en
  • 出版社:科学出版社
    出版时间:2019-12-01
  • 所属分类:
  • 定价: ¥79.80元
    售价: ¥63.84元
  • 图书介质:
    纸质书

  • 购买数量: 件  可供
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目录

  • CONTENTS
    Chapter 1 Functions, Limits, and Continuity 1
    1.1 Functions 1
    1.1.1 Linear and Quadratic Functions 1
    1.1.2 Concept of Function 3
    1.1.3 Polynomial and Rational Functions 5
    1.1.4 Exponential and Logarithmic Functions 6
    1.1.5 Trigonometric Functions and Functional Properties 8
    1.2 Limits of Function 10
    1.2.1 The Concept of Limit 10
    1.2.2 Computation of Limits 15
    1.3 Continuity of Function 18
    1.3.1 The Continuity of Function 18
    1.3.2* Continuous Compounding 21
    Chapter Summary 22
    Review Exercises 23
    Chapter 2 Differentiation of One Variable 25
    2.1 The Concept of Derivative 25
    2.1.1 Instantaneous Velocity and Derivative 25
    2.1.2 Slope of Tangent Line on Geometric Interpretation of Derivative 26
    2.1.3 Definition of Derivative and Rates of Change 27
    2.2 Computations of Derivatives 28
    2.2.1 Techniques of the Differentiation 28
    2.2.2 Calculation Rules of Derivative 30
    2.3 Compound Function and Its Chain Rule 31
    2.3.1 Compound Function and Its Chain Rule 31
    2.3.2 Implicit Differentiation 33
    2.4 Second-Order Derivative and Differential 34
    2.4.1 Second-Order Derivative 34
    2.4.2 The Concept and Computation of Differential 35
    2.5 Application of the Derivative 36
    2.5.1 Increasing and Decreasing Functions in the Derivative 37
    2.5.2 Concavity and Points of Inflection of Functions 38
    2.5.3 Relative Maximum and Relative Minimum of Functions 41
    Chapter Summary 44
    Review Exercises 45
    Chapter 3 Integration of One Variable 46
    3.1 Indefinite Integration 46
    3.1.1 The Concept of Indefinite Integration 46
    3.1.2 The Computing Rules and Formulas of Indefinite Integration 48
    3.1.3 Integration by Substitution 50
    3.1.4 Integration by Parts 52
    3.2 Definite Integration 55
    3.2.1 Definite Integral and the Fundamental Theorem of Calculus 55
    3.2.2 The Computation of Definite Integral 59
    3.2.3 Applications of Integration 62
    3.2.4 Improper Integrals 67
    Chapter Summary 70
    Review Exercises 71
    Chapter 4 Calculus of Several Variables 73
    4.1 Functions of Several Variables 73
    4.1.1 Functions of Two or More Variables 73
    4.1.2 Graphs of Functions of Two Variables 74
    4.2 Partial Derivatives 78
    4.2.1 Compute and Interpret Partial Derivatives 78
    4.2.2 Geometric Interpretation of Partial Derivatives 79
    4.2.3 Second-order Partial Derivatives 80
    4.2.4 The Chain Rule for Partial Derivatives 80
    4.3 Optimizing Functions of Two Variables 82
    4.3.1 The Extreme Value Property for a Function of Two Variables 82
    4.3.2 Apply the Extreme Value Property to the Functions of Two Variables 84
    4.3.3* The Method of Least-Squares 86
    4.3.4* The Least-Squares Line 88
    4.4 Double Integrals 90
    4.4.1 The Double Integral over a Rectangular Region 90
    4.4.2 Double Integrals over Nonrectangular Regions 91
    4.4.3 The Applications of Double Integrals 93
    Chapter Summary 97
    Review Exercises 98
    APPENDIXES 100
    APPENDIX A 100
    APPENDIX B 100
    APPENDIX C English-Chinese Vocabulary 101
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