单变量微积分
本书特色
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（1） 国内**本国际化数学教材（2） 以学习者为中心的课程内容体系（3）结合国内教育部微积分教学标准和国外同类大学的课程标准（4) 着眼长期规划，3-5年2-3个版本 力争再评上十三五***规划教材。
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内容简介
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In recently years, more and more Chinese students are going overseas, either as exchange students, or to pursue degrees. At the same time, more and more students are coming from other countries to Chinese universities to further their studies. We’ve noticed that in terms of both knowledge transfer and intercultural communication, the English language has played an indispensable role. Furthermore, it is the interest of these students to have a smooth transition from one system to another, for their credits to transfer, and for them to immerse themselves in the new environment as quickly as possible. To this end, more and more Chinese schools are offering courses delivered bilingually or in English to enhance students’ international outlook. One of the greatest challenges in offering Chinese students a course in English is finding a suitable textbook: the textbook must seriously consider what students have done in their high schools; it must meet the national and local official course standards; and it should resonate with significant international flavors so as to benefit students.
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目录
CHAPTER 1 Prereqrusites for Calculus1.1 Overview ofCalculus1.2 Sets and Numbers1.2.1 Sets1.2.2 Numbers1.2.3 The Least Upper Bound Property1.2.4 The Extended Real Number System1.2.5 1ntervals1.3 Functions1.3.1 Definition ofa Function1.3.2 Graph ofa Function1.3.3 Some Basic Functions and Their Graphs1.3.4 Building New Functions1.3.5 Fundamental Elementary Functions1.3.6 Properties ofFunctions1.4 ExercisesCHAPTER 2 Limits and Continruty2.1 Rates ofChange and Derivatives2.2 Limits of a Function2.2.1 Definition of a Limit2.2.2 Properties of Limits of Functions2.2.3 Limit Laws2.2.4 One-sided Liruits2.2.5 Limits Involving Infinity and Asymptotes2.3 Limits of Sequences2.3.1 Definitions and Properties2.3.2 Subsequences2.4 Squeeze Theorem and Cauchy’s Theorem2.5 Infinitesimal Functions and Asymptotic Functions2.6 Continuous and Discontinuous Functions2.6.1 Continuity and Discontinuity2.6.2 Continuous Functions2.6.3 Theorems on Continuous Functions2.6.4 Uniform Continuity 2.7 Some Proofs in Chapter 2.8 ExercisesCHAPTER 3 I’he Derivative3.1 Derivative ofa Function at a Point3.1.1 Instantaneous Rates of Change and Derivatives Revisited3.1.2 One-sided Derivatives3.1.3 A Function May Fail to Have a Derivative at a Point3.2 Derivative as a Function3.2.1 Graphing the Derivative of a Function3.2.2 Derivatives of Some Basic Functions3 .3 Derivative Laws3.4 Derivative of an Jnverse Function3.5 Differentiating a Composite Function – The Chain Rule3.6 Derivatives ofHigher Orders3.7 Implicit Differentiation3.8 Functions Defined by Parametric and Polar Equations3.8.1 Functions Defined by Parametric Equations3.8.2 Polar Curves3.9 Related Rates ofChange3.10 The Tangent Line Approximation and the Differentia3.10.1 Linearization3.10.2 Differentials3.11 Derivative Rules-Summary3.12 ExercisesCHAPTER 4 Applications of the Derivative4.1 Extreme Values and The Candidate Theorem4.2 The Mean Value Theore4.3 Monotonic Functions and The First Derivative Test4.3.1 Monotonic Functions4.3.2 The First Derivative Test4.4 Extended Mean Value Theorem and the L’Hopital’s Rules4.4.1 Extended Mean Value Theorem……CHAPTER 5 The Definite IntegralCHAPTER 6 Techniques for Integration and Improper IntegralsCHAPTER 7 Applications of the Definite Integral CHAPTER 8 Infinite Series, Sequences, and Approximations
封面
书名:单变量微积分
作者:邹云志
页数:350
定价:¥80.0
出版社:世界图书出版公司
出版日期:2015-05-01
ISBN:9787510094903
PDF电子书大小:83MB 高清扫描完整版