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libcats.org
Mathematical DelightsRoss HonsbergerMathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. Among the many pleasures you will find in this volume are:* a lovely safe-cracking problem* a brief discussion of Archimedes circles in the arbelos* a characterization of Euler's congruent numbers* a formula for Einstein's triples* an essay on Cipollas's Pseudoprimes and two characterizations of twin primesThe book is a mathematical entertainment to be read at a leisurely pace. College and advanced high school students should be well equipped to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.Ross Honsberger has published thirteen best-selling books with the Mathematical Association of America (eleven in the Dolciani series alone) including: Mathematical Diamonds, Mathematical Chestnuts from Around the World, From Erdцs to Kiev, and Ingenuity in Mathematics.
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