# 100 Great Problems of Elementary Mathematics (Dover Books on Mathematics)

"The assortment, drawn from mathematics, algebra, natural and algebraic geometry and astronomy, is very attention-grabbing and attractive." — Mathematical Gazette
This uncommonly fascinating quantity covers a hundred of the main well-known ancient difficulties of trouble-free arithmetic. not just does the e-book endure witness to the intense ingenuity of a few of the best mathematical minds of background — Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and so on — however it offers infrequent perception and suggestion to any reader, from highschool math pupil to specialist mathematician. this is often certainly an strange and uniquely invaluable book.
The 100 difficulties are provided in six different types: 26 arithmetical difficulties, 15 planimetric difficulties, 25 vintage difficulties touching on conic sections and cycloids, 10 stereometric difficulties, 12 nautical and astronomical difficulties, and 12 maxima and minima difficulties. as well as defining the issues and giving complete ideas and proofs, the writer recounts their origins and historical past and discusses personalities linked to them. usually he provides now not the unique resolution, yet one or less complicated or extra attention-grabbing demonstrations. in just or 3 circumstances does the answer think something greater than an information of theorems of straightforward arithmetic; for that reason, this can be a booklet with an incredibly extensive appeal.
Some of the main celebrated and fascinating goods are: Archimedes' "Problema Bovinum," Euler's challenge of polygon department, Omar Khayyam's binomial growth, the Euler quantity, Newton's exponential sequence, the sine and cosine sequence, Mercator's logarithmic sequence, the Fermat-Euler major quantity theorem, the Feuerbach circle, the tangency challenge of Apollonius, Archimedes' decision of pi, Pascal's hexagon theorem, Desargues' involution theorem, the 5 ordinary solids, the Mercator projection, the Kepler equation, selection of the placement of a boat at sea, Lambert's comet challenge, and Steiner's ellipse, circle, and sphere problems.
This translation, ready specially for Dover by means of David Antin, brings Dörrie's "Triumph der Mathematik" to the English-language viewers for the 1st time.

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