微积分及其在商业经济生命科学及社会科学中的应用(第9版影印版)/海外优秀数学类教材系

本书从Pearson出版公司引进，是一本优秀经典教材。本书从图形、数值、解析式和文字语言的
不同角度讲解主要概念，并强调应用背景。本书配备了较为丰富的习题，包括一些思考题供讨论，文中有提醒学生注意的重要内容标记，以及启发学生学习兴趣的数学史的传记；在概念的引入上较有特色，不强调解题技巧。
本书内容包括：初等函数，微分，图形和最值，导数，积分，积分的几个专题，多重积分，三角函数的导数与微分

此书用英语编写了微积分在商业、经济、生命科学及社会科学中的应用，并参考国内相关专业的课程设置和教学实际情况，结合各高校的双语教学，是一本实用性很强的教材。

PART ONE A Library of Elemententary Functions 1
cHAPTER 1 ABeginningLibraryofElementaryFunctions 3
1．1 Functions 3
1．2 Elementary Functions：Graphs and Transformations 23
1．3 Linear Functions and Straight Lines 36
1。4 Quadratic Functions 53
Important Terms and Symbols 68
Review Exercise 69
Group Activity 1：Introduction to Regression Analysis 74
Group Activity 2：Mathematical Modeling in Business 75
cHAPTER 2 AdditionalElementaryFuncUons 79
2．1 Polynomial and Rational Functions 79
2。2 Exponenfial Functions 96
2．3 Logarithmic Functions 110
ImportantTerms andSymbols 122
Review Exerdse 122
Group Activity 1：Comparing the Growth of Exponential and
P0lvnomiM Functions，and Logarithmic and Root Functions 125
Group Activity 2：Comparing Regression Models 125

书摘
1．l FunCtions1．2 Elementary Functions：Graphs and Transformations1．3 Linear Functions and Straight Lines1．4 Quadratic Functionslmportant Terms and SymbolsReview ExerciseGroup Activity 1：Introduction to Regression Analysis ．Group Activity 2：Mathematical Modeling in BusinessINTRODUCTIONThe function concept is one of the most important ideas in mathematics．The study of mathematics beyond the elementary level requires a firm under"standing of a basic list of elementary functions，their properties，and their graphs．See the inside front cover of this book for a list of the functions that form our library of elementary functions．Most functions in the fist will be introduced to you by the end of Chapter 2 and should become a part of your mathematical toolbox for use in this and most future courses or activities that involve mathematics．A few more elementary functions may be added to these in other courses，but the functions listed inside the front cover are more than sufficiant for all the applications in this text．Functions口CARTESIAN COORDINATE SYSTEM口GRAPHING：POINT-BY-POINT口DEHNITION OF A FuNCTION口FuNCTIONS SPECIFIED BY EQUATIONS口FUNCTION NOTATION口 APPLICATIONS After a brief review of the Cartesian(rectangular)coordinate system in the plane and point-by-point graphing，we discuss the concept of function，one of the most important ideas in mathematics． （P3）