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内容简介
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," basic 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 times,Leonard Euler, established in introductory books a firm tradition and these books of the eighteenth century have remained sources of inspira-tion until today, even though much progress has been made in the clarification and simplification of the material.
After Euler, one author after the other adhered to the separation of differential calculus from integral calculus, thereby obscuring a key
point, the reciprocity between differentiation and integration. Only in
1927 when the first edition of R. Courant's German Vorlesungen iiber Differential und Integrairechnung, appeared in the Springer-Verlag
was this separation eliminated and the calculus presented as a unified
subject.
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读者：hongyu_zhang888 最新讨论：2008-5-10 20:06:13 评价等级：
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| 微分和积分是我们工作中经常用到的，那有人会说：我根本不懂微积分，那平常工作也挺出色的。 那是因为，我们的法规和标准已经利用微积分的原理，列出了公式，大家在工作中用的是公式，所以不懂微积分也可以很好的工作。 更为重要的是：本书作者R.Courant是世界著名的数学家，也是一位卓越的教育家，其出色的语言组织能力，简洁明快的表达能力，使得这套书(共两卷)让人阅读起来顺畅无比！
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| 读者：hongyu_zhang888 最新讨论：2008-5-10 20:04:53 评价等级：
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| 微分和积分是我们工作中经常用到的，那有人会说：我根本不懂微积分，那平常工作也挺出色的。 那是因为，我们的法规和标准已经利用微积分的原理，列出了公式，大家在工作中用的是公式，所以不懂微积分也可以很好的工作。
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| 读者：scubookworm 最新讨论：2008-1-21 9:29:58 评价等级：
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| 本书不但是数学分析的名著，更有自己的特色：试问有多少微积分的书籍会讲到复变量和解析函数理论呢？只有这本书！此外本书内容非常丰富(能超过它的书聊聊无几)，除常规内容外，有向量值函数，矩阵理论，甚至还有变分原理的入门介绍(这在一般本科生数学分析用书是不会讲的)。更为重要的是：本书作者R.Courant是世界著名的数学家，也是一位卓越的教育家，其出色的语言组织能力，简洁明快的表达能力，使得这套书(共两卷)让人阅读起来顺畅无比！毫无一般数学书“定义－定理－证明”的枯燥套路感。强烈建议一读！此外Courant的另外一套经典两卷本好 ......[查看全部]
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