在我国已经加入WTO、经济全球化的今天,为适应当前我国高校各类创新人才培养的需要,大力推进教育部倡导的双语教学,配合教育部实施的“高等学校教学质量与教学改革工程”和“精品课程”建设的需要,高等教育出版社有计划、大规模地开展了海外**数学类系列教材的引进工作。
高等教育出版社和Pearson Education,John Wiley&Sons,McGraw—Hill,Thornson Learning等国外出版公司进行了广泛接触,经国外出版公司的**并在国内专家的协助下,提交引进版权总数100余种。收到样书后,我们聘请了国内高校一线教师、专家、学者参与这些原版教材的评介工作,并参考国内相关专业的课程设置和教学实际情况,从中遴选出了这套**教材组织出版。
这批教材普遍具有以下特点:(1)基本上是近3年出版的,在国际上被广泛使用,在同类教材中具有相当的权威性;(2)高版次,历经多年教学实践检验,内容翔实准确、反映时代要求;(3)各种教学资源配套整齐,为师生提供了极大的便利;(4)插图精美、丰富,图文并茂,与正文相辅相成;(5)语言简练、流畅、可读性强,比较适合非英语**的学生阅读。

Preface
CHAPTER O PRELIMINARIES
0.1 The Real Numbers and the Cartesian Plane
0.2 Lines and Functions
0.3 Graphing Calculators and Computer Algebra Systems
0.4 Solving Equations
0.5 Trigonometric Functions
0.6 Exponential and Logarithmic Functions
0.7 Transformations of Functions
0.8 Preview of Calculus
CHAPTER 1 LIMITS AND CONTINUITY
1.1 The Concept of Limit
1.2 Computation of Limits
1.3 Continuity and Its Consequences
1.4 Limits Involving Infinity
1.5 Formal Definition of the Limit
1.6 Limits and Loss-of-Significance Errors
CHAPTER 2 DIFFERENTIATION: ALGEBRAIC, TRIGONOMETRIC, EXPONENTIAL AND LOGARITHMIC FUNCTIONS
2.1 Tangent Lines and Velocity
2.2 The Derivative
2.3 Computation of Derivatives: The Power Rule
2.4 The Product and Quotient Rules
2.5 Derivatives of Trigonometric Functions
2.6 Derivatives of Exponential and Logarithmic Functions
2.7 The Chain Rule
2.8 Implicit Differentiation and Related Rates
2.9 The Mean Value Theorem
CHAPTER 3 APPLICATIONS OF DIFFERENTIATION
3.1 Linear Approximations and L'H pital's Rule
3.2 Newton's Method
3.3 Maximum and Minimum Values
3.4 Increasing and Decreasing Functions
3.5 Concavity
3.6 Overview of Curve Sketching
3.7 Optimization
3.8 Rates of Change in Applications
CHAPTER 4 INTEGRATION
4.1 Antiderivatives
4.2 Sums and Sigma Notation
4.3 Area
4.4 The Definite Integral
4.5 The Fundamental Theorem of Calculus
4.6 Integration by Substitution
4.7 Numerical Integration
CHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL
5.1 Area between Curves
5.2 Volume
5.3 Volumes by Cylindrical Shells
5.4 Arc Length and Surface Area
5.5 Projectile Motion
5.6 Work,Moments and Hydrostatic Force
5.7 Probability
CHAPTER 6 EXPONENTIALS,LOGARITHMS AND OTHER TRANSCENDENTAL FUNCTIONS
CHAPTER 7 INTEGRATION TECHNIQUES