From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter...
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471
Whenever an arbitrary positive quantity 𝞮 is assigned,we can make off an interval |x - x0| < 𝞭 so small that for any x which belongs both to the domain of f and to that interval the inequality |f(x) - η| < 𝞮 holds. (查看原文)
Classics in Mathematics(共50册)，
这套丛书还有
《Multidimensional Diffusion Processes》《Algebraic Topology》《Problems and Theorems in Analysis II》《Elliptic Partial Differential Equations of Second Order》《Function Theory in the Unit Ball of Cn》
等
。
喜欢读"Introduction to Calculus and Analysis, Vol. 1"的人也喜欢
· · · · · ·
sosowo
世界图书出版公司2008版
Nunc Dimittis
科学出版社2001版
子非鱼
科学出版社2005版
2 有用 响箭 2014-10-18 09:45:37
读过艰深一些的分析教材后，可能觉得这本还是适合做为学“微积分”课程的课外读物比较合适，优点在于内容的广度，对于来龙去脉的介绍。深度适中，适合初学者。
2 有用 [已注销] 2014-11-11 08:38:51
35年出来的时候是作为数分教科书的，现在服老连名字都改了直接叫微积分引论。好吧 对非数学或理论物理学生而言聚点原理（b-w定理）是不用知道的。但是教科书嘛，赢在易懂和透彻嘛。
0 有用 拥抱仙人掌 2020-04-10 16:11:21
定乾坤不定积分
0 有用 李丹 2020-04-29 21:24:50
经典教材，必读。