微积分(上第7版影印版)

本书从Cengage Learning出版公司引进。 第一版于1987年问世， 作者James Stewart完成 它花了7年的时间，1980 年开始，本书在作者所在 学校麦克马斯特大学试用 了6年。从出版至今，本 书已经先后修订7次。 2003年第5版，2008年第 6版，2012年第7版。 历经多年的锤炼，本 书语言朴实流畅，内容翔 实准确，对每个重要概念 均采用图形、文字、数值 和代数四种方式加以呈现 。书中含有丰富的最能反 映微积分应用的教学实例 ，能充分调动学生学习的 积极性。 本书配套资源齐全， 包括电子教案、教师指导 、图片库等，使用本书可 获得配套数字资源。

Preface To the Student Diagnostic Tests A PREVIEW OF CALCULUS 1 Functions and Models 1.1 Four Ways to Represent a Function 1.2 Mathematical Models: A Catalog of Essential Functions 1.3 New Functions from Old Functions 1.4 Graphing Calculators and Computers 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms Review Principles of Problem Solving 2 Limits and Derivatives 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change Writing Project·Early Methods for Finding Tangents 2.8 The Derivative as a Function Review Problems Plus 3 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions Applied Project·Building a Better Roller Coaster 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule Applied Project, Where Should a Pilot Start Descent? 3.5 Implicit Differentiation Laboratory Project·Families of Implicit Curves 3.6 Derivatives of Logarithmic Functions 3.7 Rates of Change in the Natural and Social Sciences 3.8 Exponential Growth and Decay 3.9 Related Rates 3.10 Linear Approximations and Differentials Laboratory Project, Taylor Polynomials 3.11 Hyperbolic Functions Review Problems Plus 4 Applications of Differentiation 4.1 Maximum and Minimum Values Applied Project·The Calculus of Rainbows 4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and l'Hospital's Rule Writing Project·The Origins of I'Hospital's Rule