Introduction to calculus and analysis courant
Introduction to Calculus and Analysis: Volume I by Richard Courant
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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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)
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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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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. I would like to compare Courant's book with Apostol's and Spivak's in terms of difficulty of the problems provided. After reading that book, should I go for one of the two above or should I study something else like Rudin? My focus is on being rigorous and also adept at problem solving.
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Save 40% on select Business & Management books + FREE shipping or 50% on Physics eBooks! Authors: Courant, Richard, John, Fritz. Courant, Richard (et al.).
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