A Long Way from Euclid

Constance Reid

 Thomas Y. Crowell Company | 1834

online: archive.org

Dover Publications | 2004 | 304 páginas

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This lively guide by a prominent historian focuses on the role of Euclid's Elements in mathematical developments of the last 2,000 years. No mathematical background beyond elementary algebra and plane geometry is necessary to appreciate the clear and simple explanations, which are augmented by more than 80 drawings. 1963 edition. 

The Canterbury Puzzles with Solutions

Henry Ernest Dudeney

W. Heinemann | 1907 |195 páginas  |

online: archive.org
gutenberg.org

PDF | 14 MB

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This book includes 110 puzzles, not as individual problems but as incidents in connected stories. The first 31 are amusingly posed by pilgrims in Chaucer's Canterbury Tales. Additional puzzles are presented using different characters. Many require only the ability to exercise logical or visual skills; others offer a stimulating challenge to the mathematically advanced.

The foundations of mathematics; a contribution to the philosophy of geometry

Paul Carus

Chicago, The Open Court Publishing Co. | 1908

Online: archive.org

Magic squares and cubes

William Symes Andrews

online: archive.org

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In the introduction to Magic Squares and Cubes, W.S. Andrews wrote writes, "The study of magic squares probably dates back to prehistoric times. Examples have been found in Chinese literature written about A. D. 1125 which were evidently copied from still older documents. It is recorded that as early as the ninth century magic squares were used by Arabian astrologers in their calculations of horoscopes, etc. Hence, the probable origin of the term magic, which has survived to the present day." He added that "a magic square consists of a series of numbers so arranged in a square that the sum of each row and column and of both the corner diagonals shall be the same amount which may be termed the summation.

Mathematics and the Imagination

Edward Kasner & James Newman

G. Bell & Sons Ltd.| 1949 | 393 páginas |  pdf | 52,1 Mb

online: archive.org

Anyone who gambles, plays cards, loves puzzles, or simply seeks an intellectual challenge will love this amusing and thought-provoking book. With wit and clarity, the authors deftly progress from simple arithmetic to calculus and non-Euclidean geometry. "Charming and exciting." — Saturday Review of Literature. Includes 169 figures.

A short account of the history of mathematics

W. W. Rouse Ball

The Macmillan Company | 1901

online: archive.org

online: gutenberg.org

PDF - 2 Mb

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This is the classic resource on the history of mathematics providing a deeper understanding of the subject and how it has impacted our culture, all in one essential volume. From the early Greek influences to the middle ages and the renaissance to the end of the 19th-century, trace the fascinating foundation of mathematics as it developed through the ages.

The Copernicus of Antiquity - Aristarchus of Samos

Thomas L. Heath

online: archive.org

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