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Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.
A Puzzling Clue to an Unconventional Murder… "You will just LOVE these books!"—VANISH Magazine When an old family friend is arrested for murder at a magic convention, Uncle Harry urges Eli to step in and solve the bizarre homicide. Eli’s attempt to sort through all the suspects is stymied after a second murder and then a third murder attempt–or was it merely an accident? Is someone trying to knock off the top mentalists in the country? And if they are, why do the clues keep pointing to Eli’s friend? As the body count rises, Eli must race against the clock to trap this clever killer before becoming the final victim. Grab this fun and funny mystery today! ★★★★★ Praise for Eli Marks Mystery Series: "If David Copperfield and Sherlock Holmes had a child, it would be Eli Marks.”—The Magic Word Podcast “This is an instant classic, in a league with Raymond Chandler, Dashiell Hammett and Arthur Conan Doyle.”—Rosebud Book Reviews “It’s full of magic, mystery, danger and misdirection, as a good magic trick should be. I love this cozy mystery series, a thoroughly delightful read.”—Sweet Mystery Books “Before I had even finished the first chapter I had fallen in love with Eli. He is intelligent, sensitive, witty and, suddenly, the main suspect in a series of murders…well written, fast-paced and exciting.”—The Frugal Mennonite “This story is very well written and fun to read. I would definitely read another Eli Marks Mystery!”_A Simple Taste for Reading “Hands-down the funniest thing I have read in a long time, expertly paced and hilariously detailed.”—Seattle Book Mama
This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.
An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.
​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.