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Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis

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Discusses calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers; algebra-related subjects such as real equations with real unknowns and equations in the field of complex quantities. Also explores elements of analysis, with discussions of logarithmic and exponential functions, the goniometric functions, and infinitesimal calculus. 1932 edition. 125 figures.

274 pages, Paperback

First published January 1, 1924

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Felix Klein

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309 reviews131 followers
January 18, 2012
Very good book, advanced explanations for many things either taken for granted or new perspectives to look at things. Interesting things like impossibility to inscribe heptagon using compass and straightedge, transcendence of e and pi, etc are included with proofs, highly accessible with the presentation style.

Though in my case some topics are not quite understood e.g. Riemann surfaces due to lack of training, nonetheless the book is highly insightful. Recommended for advanced readers or those interested in advanced mathematics.
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