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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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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)
Reprint of the 1965 textbook (John Wiley and Sons) originally written by Courant in 1927 and translated into English in 1934. This first volume is concerned primarily with functions of a single variable. Problems and examples. No bibliography. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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