关注微信

推荐商品

    加载中... 正在为您读取数据...
分享到:
  • 高等数学(1)(英文版)[平装]
  • 共2个商家     21.00元~24.08
  • 作者:陈明明(编者),郭振宇(编者),于晶贤(编者),等(编者)
  • 出版社:化学工业出版社;第1版(2010年10月1日)
  • 出版时间:
  • 版次 :
  • 印刷时间:
  • 包装:
  • ISBN:9787122094599

  • 商家报价
  • 简介
  • 评价
  • 加载中... 正在为您读取数据...
  • 商品描述

    编辑推荐

    《高等数学(1)(英文版)》是由化学工业出版社出版的。

    目录

    Chapter 1 Functions and limits11.1Mappings and functions
    1.1.1 Sets
    1.1.2 Mappings
    1.1.3 Functions
    Exercise 1 1141.2Limits of sequences
    1.2.1 Concept of limits of sequences
    1.2.2 Properties of convergent sequences
    Exercise 1 2211.3Limits of functions
    1.3.1 Definitions of limits of functions
    1.3.2 The properties of functional limits
    Exercise 1 3261.4Infinitesimal and infinity quantity
    1.4.1 Infinitesimal quantity
    1.4.2 Infinity quantity
    Exercise 1 4291.5Rules of limit operations
    Exercises 1 5341.6Principle of limit existence two important limits
    Exercise 1 6391.7Comparing with two infinitesimals
    Exercise 1 7421.8Continuity of functions and discontinuous points
    1.8.1 Continuity of functions
    1.8.2 Discontinuous points of functions
    Exercise 1 8461.9Operations on continuous functions and the continuity of
    elementary functions
    1.9.1 Continuity of the sum,difference,product and quotient of continuous functions
    1.9.2 Continuity of inverse functions and composite functions
    1.9.3 Continuity of elementary functions
    Exercise 1 9491.10Properties of continuous functions on a closed interval
    1.10.1 Boundedness and maximum minimum theorem
    1.10.2 Zero point theorem and intermediate value theorem
    *1.10.3 Uniform continuity
    Exercise 1
    Exercise

    Chapter 2 Derivatives and differential552.1Concept of derivatives
    2.1.1 Examples
    2.1.2 Definition of derivatives
    2.1.3 Geometric interpretation of derivative
    2.1.4 Relationship between derivability and continuity
    Exercise 2 1622.2Fundamental Derivation Rules
    2.2.1 Derivation rules for sum,difference,product and quotient of functions
    2.2.2 The rules of derivative of inverse functions
    2.2.3 The rules of derivative of composite functions(The Chain Rule)
    2.2.4 Basic derivation rules and derivative formulas
    Exercise 2 2692.3Higher order derivatives
    Exercise 2 3732.4Derivation of implicit functions and functions defined
    by parametric equations
    2.4.1 Derivation of implicit functions
    2.4.2 Derivation of a function defined by parametric equations
    2.4.3 Related rates of change
    Exercise 2 4782.5The Differentials of functions
    2.5.1 Concept of the differential
    2.5.2 Geometric meaning of the differential
    2.5.3 Formulas and rules on differentials
    2.5.4 Application of the differential in approximate computation
    Exercise 2
    Exercise

    Chapter 3 Mean value theorems in differential calculus and
    applications of derivatives873.1Mean value theorems in differential calculus
    Exercise 3 1923.2L'Hospital's rule
    Exercise 3 2963.3Taylor formula
    Exercise 3 31003.4Monotonicity of functions and convexity of curves
    3.4.1 Monotonicity of functions
    3.4.2 Convexity of curves and inflection points
    Exercise 3 41053.5Extreme values of functions,maximum and minimum
    3.5.1 Extreme values of functions
    3.5.2 Maximum and minimum of function
    Exercise 3 51123.6Differentiation of arc and curvature
    3.6.1 Differentiation of an arc
    3.6.2 Curvature
    Exercise 3
    Exercise

    Chapter 4Indefinite integral1204.1Concept and property of indefinite integral
    4.1.1 Concept of antiderivative and indefinite integral
    4.1.2 Table of fundamental indefinite integrals
    4.1.3 Properties of the indefinite integral
    Exercise 4 11254.2Integration by substitutions
    4.2.1 Integration by substitution of the first kind
    4.2.2 Integration by substitution of the second kind
    Exercise 4 21334.3Integration by parts
    Exercise 4 31374.4Integration of rational function
    4.4.1 Integration of rational function
    4.4.2 Integration which can be transformed into the integration of rational function
    Exercise 4
    Exercise

    Chapter 5 Definite integrals1435.1Concept and properties of definite integrals
    5.1.1 Examples of definite integral problems
    5.1.2 The definition of define integral
    5.1.3 Properties of definite integrals
    Exercise 5 11485.2Fundamental formula of calculus
    5.2.1 The relationship between the displacement and the velocity
    5.2.2 A function of upper limit of integral
    5.2.3 Newton Leibniz formula
    Exercise 5 21545.3Integration by substitution and parts for definite integrals
    5.3.1 Integration by substitution for definite integrals
    5.3.2 Integration by parts for definite integral
    Exercise 5 31605.4Improper integrals
    5.4.1 Improper integrals on an infinite interval
    5.4.2 Improper integrals of unbounded functions
    Exercise 5 41655.5Tests for Convergence of improper integrals Γ function
    5.5.1 Test for convergence of infinite integral
    5.5.2Test for convergence of improper integrals of unbounded functions
    5.5.3 Γ function
    Exercise 5
    Exercise

    Chapter 6 Applications of definite integrals1736.1Method of elements for definite integrals1736.2The applications of the definite integral in geometry
    6.2.1 Areas of plane figures
    6.2.2 The volumes of solid
    6.2.3 Length of plane curves
    Exercise 6 21826.3The applications of the definite Integral in physics
    6.3.1 Work done by variable force
    6.3.2 Force by a liquid
    6.3.3 Gravity
    Exercise 6
    Exercise

    Chapter 7 Differential equations1897.1Differential equations and their solutions
    Exercise 7 11917.2Separable equations
    Exercise 7 21947.3Homogeneous equations
    7.3.1 Homogeneous equations
    7.3.2 Reduction to homogeneous equation
    Exercise 7 31987.4A first order linear differential equations
    7.4.1 Linear equations
    7.4.2 Bernoulli's equation
    Exercise 7 42017.5Reducible second order equations
    7.5.1 y(n)=f(x)
    7.5.2 y″=f(x,y′)
    7.5.3 y″=f(y,y′)
    Exercise 7 52067.6second order linear equations
    7.6.1 Construction of solutions of second order linear equation
    7.6.2 The method of variation of parameters
    Exercise 7 62107.7Homogeneous linear differential equation with
    constant coefficients
    Exercise 7 72147.8Nonhomogeneous linear differential equation with
    constant coefficients
    7.8.1 f(x)=eλxPm(x)
    7.8.2 f(x)=eλxP(1)l(x)cosωx+P(2)n(x)sinωx
    Exercise 7 82197.9Euler's differential equation
    Exercise 7
    Exercise
    Reference

    序言

    English is the most important language in international academia. In order to strengthen aca-demic exchange with western countries, many universities in China pay more and more attention tothe bilingual teaching in classrooms in recent years. Considering the importance of advanced mathe-matics and scarcity of bilingual mathematics textbook, we have written this book.
    The main subject of this book is calculus. Besides, it also includes differential equation,analytic geometry in space, vector algebra and infinite series. This book is divided into twovolumes. The first volume contains calculus of functions of a single variable and differentialequation. The second volume contains vector algebra and analytic geometry in Space, multi-variable calculus and infinite series.
    We have attempted to give this book the following characteristics.
    The content of this book is based on the Chinese textbook advanced mathematics (sixthedition)which is written by department of mathematics of Tongji University. The readers may readthis book and use the Chinese textbook "advanced mathematics" as a reference. It may help readersto understand the mathematical contents and to improve the level of their English.

    文摘

    插图: