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内容提要:
本书是在美国大学中使用面较广的微积分教材之一。内容包括一元微积分(函数、极限、函数连续性、导数及其应用、积分及其应用、不定型的极限及广义积分、级数、数值方法及逼近)、多元微积分(空间解析几何、向量、多元函数的导数与二重三重积分以及向量场的微积分)和微分方程。本书不仅重视应用,便于自学,习题和内容丰富。而且强调数学的严谨性。本书可作为理工科本科生、研究生的微积分教材和参考书。...
编辑推荐:
本书是在美国大学中使用面较广的微积分教材之一。内容包括一元微积分(函数、极限、函数连续性、导数及其应用、积分及其应用、不定型的极限及广义积分、级数、数值方法及逼近)、多元微积分(空间解析几何、向量、多元函数的导数与二重三重积分以及向量场的微积分)和微分方程。本书不仅重视应用,便于自学、习题和内容丰富,而且强调数学业的严谨性。本书可作为理工科本科生、研究生的微积分教材和参考书。
目录:
序. 出版说明 Preface 1 Preliminaries 1.1 The Real Number System 1.2 Decimals,Calculators,Estimation 1.3 Inequalities 1.4 Absolute Values,Square Roots,Squares 1.5 The Rectangular Coordinate Sytem 1.6 The Straight Line 1.7 Graphs of Equations 1.8 Chapter Erview Technology Project 1.1 Graphing Technology Project 1.2 Solving Equations by Xooming 2 Functions and Limits 2.1 Functions and Their Graphs 2.2 Operations on Functions 2.3 The Trigonometric Functions 2.4 Introduction to Linits 前言:
The eighth edition of Calculus is a modest revision in content, more substantial in the line by line details. Users of previous editions have reported great success and we have no desire to overhaul a workable text. .
Classifiers of calculus books would call this a traditional book. Most theorems are proved or left as exercises to prove; when the proof is too deep for a beginning calculus course, we say so, and in many cases we give an argument to at least make the result plausible. Theorems are stated with all conditions clearly spelled ou..
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