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Monographs on Topics of Modern Mathematics
by David M. Young

ISBN: 0486438163
Dover Publications Price: $67.50
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“Of high merit”—Scientific American
This stimulating approach to several branches of modern mathematics is geared to those with no background beyond elementary algebra and geometry. Its nine essays by leading mathematicians—including Oswald Veblen, Gilbert Ames Bliss, L. E. Dickson, and David Eugene Smith—cover the foundations of geometry, modern pure geometry and non-Euclidean geometry, fundamental propositions of algebra, algebraic equations, functions, fundamentals of calculus, and number theory. Each essay provides wide coverage, with proofs of important results and descriptions of leading methods. 1911 ed.


Table of Contents for Monographs on Topics of Modern Mathematics
1. The Foundations of Geometry by Oswald Veblen
2. Modern Pure Geometry by Thomas F. Holgate
3. Non-Euclidean Geometry by Frederick S. Woods
4. The Fundamental Propositions of Algebra by Edward V. Huntington
5. The Algebraic Equation by G. A. Miller
6. The Function Concept and the Fundamental Notions of the Calculus by Gilbert Ames Bliss
7. The Theory of Numbers by J. W. A. Young
8. Constructions with Ruler and Compasses; Regular Polygons by L. E. Dickson
9. The History and Transcendence of Pi by David Eugene Smith

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