Introduction to calculus and analysis courant
Introduction to Calculus and Analysis: Volume I by Richard CourantFrom 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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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)
Introduction to Calculus and Analysis Vol 1(R Courant).pdf
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. He received his doctorate from the legendary David Hilbert in Goettingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped.
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