- 医用高等数学(来华留学生英文授课精编教材)(英文版)
- - 作者：编者:范兴华//彭凌//程悦玲//陈燕|责编:张小琴
  - 出版社：江苏大学
  - ISBN：9787568417358
  - 出版日期：2022/08/01
  - 页数：305
- 售价：24

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This textbook is aimed at undergraduate foreign students ofmedicine and pharmacy in China.The book makes an effort to guidestudents, particularly of medicine and pharmacy, through the coreconcepts of calculus and to help them understand how those conceptsapply to their lives and the world around them.It emphasizes theimportant role of calculus in the medicine and pharmacy sciences.Most of the contents have been practiced at Jiangsu University.Thematerial is well-suited for self-study, as we know from experience.
The book is intended for the first semester of study.It coversthe traditional single variable calculus course as well as probabilityand statistics.Emphasis is put on calculus since it serves as the baseof probability theory.There are eight chapters in the textbook.Thevery first chapter talks about function, about which students havebeen familiar with.Topics that follow are traditional contents ofdifferential calculus and the basic concepts of integral, as well asprobability and statistics: limits, derivatives, additional derivativetopics, graphing and optimization, integration, applications ofintegration, probability and statistics.
作者介绍
目录
Chapter 1  Functions
  1.1  Lines in the Plane
    1.1.1  Coordinates on the Line
    1.1.2  Cartesian Coordinates in the Plane
    1.1.3  Linear Equations
    1.1.4  Equations of Lines
    Exercise 1.1
  1,2  Concept of Function
    1.2.1  Basic Conception
    1.2.2  Function Notation
    1.2.3  Even and Odd Functions
    1.2.4  Increasing and Decreasing Functions
    Exercise 1.2
  1.3  Polynomial and Rational Functions
    1.3.1  Linear Functions and Straight Lines
    1.3.2  Quadratic Functions
    1.3.3  Polynomial Functions and Rational Functions
    Exercise 1.3
  Summary and Review
Chapter 2  Limits
  2.1  Concept of Limit
    2.1.1  Intuitive Definition of Limits
    2.1.2  Properties of Limits
    Exercise 2.1
  2.2  Infinite Limits
    2.2.1  Infinite Limits
    2.2.2  Vertical Asymptote
    Exercise 2.2
  2.3  Continuity
    2.3.1  Concept of Continuity
    2.3.2  Continuity Properties
    2.3.3  The Extreme Value Theorem
    2.3.4  The Intermediate Value Theorem
    2.3.5  Solving Inequalities Using Continuity Properties
    Exercise 2.3
  2.4  Limits at Infinity
    2.4.1  Horizontal Asymptotes
    2.4.2  Exponential Functions
    Exercise 2.4
  2.5  Precise Definition of Limits
    2.5.1  Limits at Finite Points that Have Finite Values
    2.5.2  Infinite Limits
    2.5.3  Definition of Limits at Infinity
    Exercise 2.5
  Summary and Review
Chapter 3  Derivatives
  3.1  Definition of the Derivative
    3.1.1  Instantaneous Rates of Change
    3.1.2  Geometric Interpretation
    3.1.3  Differentiability and Continuity

    Exercise 3.1
  3.2  Basic Differentiation Properties
    3.2.1  Constant Function Rule
    3.2.2  The Power Rule
    3.2.3  Sum and Difference Rule
    3.2.4  Derivative of Polynomials
    Exercise 3.2
  3.3  Differentials
    3.3.1  Differentials
    3.3.2  Linear Approximation
    Exercise 3.3
  Summary and Review
Chapter 4  Additional Derivative Topics
  4.1  Derivatives of Products and Quotients
    4.1.1  Derivatives of Products
    4.1.2  Derivatives of Quotients
    Exercise 4.1
  4.2  The Chain Rule
    4.2.1  Composite Functions
    4.2.2  Proof of the Chain Rule
    4.2.3  The General Power Rule
    Exercise 4.2
  4.3  Logarithmic Function
    4.3.1  Inverse Function
    4.3.2  Differentiability of Inverses
    4.3.3  Logarithmic Functions
    Exercise 4.3
  4.4  Derivative of e" and In x
    4.4.1  Derivative of the Natural Exponential Functions
    4.4.2  Derivative of Exponential Functions
    4.4.3  Exponential Growth and Decay
    4.4.4  Derivative of Logarithmic Functions
    Exercise 4.4
  4.5  Implicit Differentiation
    Exercise 4.5
  4.6  Related Rates
    Exercise 4.6
  Summary and Review
Chapter 5  Graphing and Optimization
  5.1  Local Extrema and the Mean Value Theorem
    5.1.1  Local Extrema
    5.1.2  Critical Numbers
    5.1.3  The Mean Value Theorem
    Exercise 5.1
  5.2  The First Derivatives and Graphs
    5.2.1  The First Derivatives and Monotonicity
    5.2.2  The First Derivative Test
    Exercise 5.2
  5.3  The Second Derivatives and Graphs
    5.3.1  Higher Derivatives

    5.3.2  Concavity
    Exercise 5.3
  5.4  Optimization
    5.4.1  Locating Absolute Extrema
    5.4.2  The Second Derivative and Extrema
    5.4.3  The Second Derivative Test for Absolute Extrema
    5.4.4  Optimization Problems
    Exercise 5.4
  5.5  L'Hospital's Rule
    5.5.1  Indeterminate Forms
    5.5.2  L'Hospital's Rule in Other Cases
    5.5.3  Other Indeterminate Forms
    Exercise 5.5
  5.6  Periodicity and Trigonometric Functions
    5.6.1  Definition of Periodic Function
    5.6.2  Trigonometric Functions
    Exercise 5.6
  5.7  Graphing of Functions
    Exercise 5.7
  Summary and Review
Chapter 6  Integration
  6.1  Antiderivatives and Indefinite Integrals
    6.1.1  Antiderivatives
    6.1.2  Indefinite Integrals
    6.1.3  Indefinite Integrals List
    6.1.4  Properties of the Indefinite Integral
    6.1.5  Differential Equation
    Exercise 6.1
  6.2  The Definite Integral
    6.2.1  Area Problem
    6.2.2  Distance Problem
    6.2.3  The Definite Integral
    Exercise 6.2
  6.3  Properties of the Definite Integral
    Exercise 6.3
  6.4  Fundamental Theorem of Calculus
    Exercise 6.4
  6.5  The Substitution Rule
    6.5.1  Substitution with Indefinite Integrals
    6.5.2  Substitution for Definite Integrals
    Exercise 6.5
  6.6  Integration by Parts
    Exercise 6.6
  Summary and Review
Chapter 7  Applications of Integration
  7.1  Area between Curves
    Exercise 7.1
  7.2  Average Values
    7.2.1  Cumulative Change
    7.2.2  Definition of Average Value

    Exercise 7,2
  7.3  Improper Integrals
    7.3.1  Integrating over an Infinite Interval
    7.3.2  Discontinuous Integrand
    Exercise 7.3
  Summary and Review
Chapter 8  Probability and Statistics
  8.1  The Probability of Events
    8.1.1  Counting Techniques
    8.1.2  Sample Space and Events
    8.1.3  The Definition of Probability
    8.1.4  Equally Likely Outcomes Model
    Exercise 8.1
  8.2  The Conditional Probability and Independent Events
    8.2.1  The Conditional Probability
    8.2.2  The Law of Total Probability and the Bayes Formula
    8.2.3  Independent Events
    Exercise 8.2
  8.3  Random Variables and Distributions
    8.3.1  Random Variables
    8.3.2  The Probability Distribution of a Discrete Random Variable
    8.3.3  The Cumulative Distribution Function of a Random Variable
    8.3.4  Continuous Random Variables
    Exercise 8.3
  8.4  Means and Variances
    8.4.1  Means
    8.4.2  Variances
    Exercise 8.4
  8.5  Statistics Tools
    8.5.1  Random Samples and Statistics
    8.5.2  Estimating Means and Proportions
    8.5.3  Linear Regression
    Exercise 8.5
  Summary and Review
Bibliography
Appendix A  Differentiation and Integration Formulas
Appendix B  Table of the cdf of the Standard Normal Distribution
Answers to Even-numbered Problems
Index

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