By Benjamin Wardhaugh

Despite what we may perhaps occasionally think, renowned arithmetic writing didn't commence with Martin Gardner. in truth, it has a wealthy culture stretching again countless numbers of years. This unique and enlightening anthology--the first of its kind--gathers approximately 100 attention-grabbing decisions from the earlier 500 years of well known math writing, bringing to lifestyles a little-known part of math heritage. starting from the past due 15th to the overdue 20th century, and drawing from books, newspapers, magazines, and internet sites, *A Wealth of Numbers* contains leisure, lecture room, and paintings arithmetic; mathematical histories and biographies; bills of upper arithmetic; causes of mathematical tools; discussions of the way math might be taught and realized; reflections at the position of math on the planet; and math in fiction and humor.

Featuring many tips, video games, difficulties, and puzzles, in addition to a lot historical past and trivialities, the choices comprise a sixteenth-century advisor to creating a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler at the thought of pace (1760); "Mathematical Toys" (1785); a poetic model of the rule of thumb of 3 (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll at the video game of common sense (1887); "Maps and Mazes" (1892); "Einstein's actual Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). prepared via thematic chapters, each one choice is put in context through a short advent.

A exact window into the hidden background of renowned arithmetic, *A Wealth of Numbers* will supply many hours of enjoyable and studying to somebody who loves well known arithmetic and science.

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**Sample text**

I’ve also got a hankering to change rule (5), so that it’s the losing player who chooses which card goes back into his/her hand. Or perhaps it should be not the winner or loser of the individual round who chooses, but whoever is currently winning (or perhaps losing), who makes the choice, . . Changing the overall winning criterion often has interesting consequences. The most usual way to do this is to make the winner the person with the lower score rather than the higher. Or in this case, the aim might be to score an odd total, or a total that is a multiple of 3, or a prime number, ...

What are the winning tactics? Does it matter who goes ﬁrst? Why must the game end after a limited number of moves? How many? What happens when you start the game with four or ﬁve dots? Endless Noughts and Crosses This is a game for two players. You will need a sheet of grid paper (or rule lines down a sheet of writing paper). 7. The beginning of a game of Sprouts. 8. Sprouts: the ﬁrst move. 9. Sprouts: a different move. The game is played like the ordinary game of noughts and crosses, with each player taking turns to mark a square with a nought or a cross, but it does not end with ﬁrst string of three noughts or crosses.

JUNI . Are there no other kinds of Fractions which you have not yet taught? THEOD . There are of Fractions (or that are expressed as fractions) 4 kinds, whereof 2 kinds of them are properly fractions, and the other 2 kinds are not properly fractions, but are commonly so expressed. This ﬁrst kind which I have now showed you is truly a fraction, and before I meddle with any of the rest, I will show you how to take up any fraction that shall remain in any division, when you work in whole numbers. JUNIUS .