本书是作者多年来给普林斯顿大学本科一年级学生开设微积分的每周复习课。本书专注于讲述解题技巧,目的是帮助读者学习一元微积分的主要概念。深入处理一些基本内容,还复习一些主题。本书不仅可以作为参考书,也可以作为教材,定会成为任何一位需要微积分知识人学习一元微积分的非常好的指导书。
本书是作者多年来给普林斯顿大学本科一年级学生开设微积分的每周复习课。本书专注于讲述解题技巧,目的是帮助读者学习一元微积分的主要概念。深入处理一些基本内容,还复习一些主题。本书不仅可以作为参考书,也可以作为教材,定会成为任何一位需要微积分知识人学习一元微积分的非常好的指导书。
阿德里安·班纳著的《普林斯顿微积分读本》阐述了求解微积分的技巧,详细讲解了微积分基础、极限、连续、微分、导数的应用、积分、无穷级数、泰勒级数与幂级数等内容,旨在教会读者如何思考问题从而找到解题所需的知识点,着重训练大家自己解答问题的能力。 本书适用于大学低年级学生、高中高年级学生、想学习微积分的数学爱好者以及广大数学教师,既可作为教材、习题集,也可作为学习指南,同时还有利于教师备课。
本书是作者多年来给普林斯顿大学本科一年级学生开设微积分的每周复习课。本书专注于讲述解题技巧,目的是帮助读者学习一元微积分的主要概念。深入处理一些基本内容,还复习一些主题。本书不仅可以作为参考书,也可以作为教材,定会成为任何一位需要微积分知识人学习一元微积分的非常好的指导书。
菲赫金哥尔茨著路见可、余家荣、吴亲仁译的《微积分学教程(第3卷第8版)》是一部很好的数学科学与教育著作。自第一版问世50多年来,本书多次再版,至今仍被俄罗斯的综合大学以及技术和师范院校选作数学分析课程
The first edition was intended to be a synthesis of reform and traditional approaches to calculus instruction。In this second edition I continue to follow that path by empha- sizing conceptual understanding through visual, numerical, and algebraic approaches。The principal way in which this book differs from my more traditional calculus textbooks is that it is more streamlined。 For instance, there is no plete chapter on techniques of integration;I don't prove as many theorems (see the discussion on rigor on page );and the material on transcendental functions and on parametric equations is interwoven throughout the book instead of being treated in separate chapters。Instruc- tors who prefer fuller coverage of traditional calculus topics should look at my books Calculus, Fourth Edition and Calculus: Early Transcendentals, Fourth Edition。 Changes in the Second Edition~ The data in examples and exercises have been updated to be more timely。~ Several new examples have been added。For instance,
During the latter part of the seventeenth century the new mathe-matical analysis emerged as the dominating force in mathematics. It is characterized by the amazingly successful operation with infinite processes or limits. Two of these processes, differentiation and inte- gration, became the core of the systematic Differential and Integral Calculus, often simply called "Calculus,asic for all of analysis. The importance of the new discoveries and methods was immediately felt and caused profound intellectual excitement. Yet, to gain mastery of the powerful art appeared at first a formidable task, for the avail-able publications were scanty, unsystematic, and often lacking in clarity. Thus, it was fortunate indeed for mathematics and science in general that leaders in the new movement soon recognized the vital need for writing textbooks aimed at making the subject ac-cessible to a public much larger than the very small intellectual elite of the early days. One of the greatest mathematicians of modern time
本书是作者多年来给普林斯顿大学本科一年级学生开设微积分的每周复习课。本书专注于讲述解题技巧,目的是帮助读者学习一元微积分的主要概念。深入处理一些基本内容,还复习一些主题。本书不仅可以作为参考书,也可以作为教材,定会成为任何一位需要微积分知识人学习一元微积分的非常好的指导书。
During the latter part of the seventeenth century the new mathe-matical analysis emerged as the dominating force in mathematics. It is characterized by the amazingly successful operation with infinite processes or limits. Two of these processes, differentiation and inte- gration, became the core of the systematic Differential and Integral Calculus, often simply called "Calculus,asic for all of analysis. The importance of the new discoveries and methods was immediately felt and caused profound intellectual excitement. Yet, to gain mastery of the powerful art appeared at first a formidable task, for the avail-able publications were scanty, unsystematic, and often lacking in clarity. Thus, it was fortunate indeed for mathematics and science in general that leaders in the new movement soon recognized the vital need for writing textbooks aimed at making the subject ac-cessible to a public much larger than the very small intellectual elite of the early days. One of the greatest mathematicians of modern time
关于常微分方程方面的教科书有许多种,但本书却独具特物色,书中强调常微分方程的定性性质和几何性质及其它们的解,全书有272个几何插图,却没有一个复杂的数学公式。全书分为5章36节。本书是俄罗斯数学家(1937-2010),1974年菲尔兹奖得主,他的许多很好作品都被翻译为英文,本书是其中的一本,其简明的写作风格、严谨的数学基础结合物理直觉,给人一种很轻松漫谈式的教学特点,被评为很很好的常微分教材。