The Penguin Dictionary Of Curious And Interesting Geometry
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The Penguin Dictionary of Curious and Interesting Geometry
"A companion volume to the author's "Dictionary of Curious and Interesting Numbers", which focuses on arithmetic and number theory. The entries in this book cover curves, topology, tilings and all branches of plane and three-dimensional geometry, from Euclid to fractals."
The Penguin Dictionary of Curious and Interesting Numbers
Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.
Book of Curious and Interesting Puzzles
"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.