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Knotted Doughnuts and Other Mathematical Entertainments

Knotted Doughnuts and Other Mathematical Entertainments
Author: Martin Gardner
Publisher: W H Freeman & Company
Total Pages: 278
Release: 1986
Genre: Mathematics
ISBN: 9780716717997

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Introduces puzzles and math problems involving coincidence, ciphers, games, the I Ching, geometric figures, and paradoxes.


Knotted Doughnuts and Other Mathematical Entertainments

Knotted Doughnuts and Other Mathematical Entertainments
Author: Martin Gardner
Publisher: American Mathematical Soc.
Total Pages: 278
Release: 2020-10-06
Genre: Mathematics
ISBN: 1470463644

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Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1986 edition and contains columns published from 1972-1974.


Hexaflexagons and Other Mathematical Diversions

Hexaflexagons and Other Mathematical Diversions
Author: Martin Gardner
Publisher: American Mathematical Soc.
Total Pages: 200
Release: 2020-10-05
Genre: Mathematics
ISBN: 1470463520

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Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, originally published in 1959, contains the first sixteen columns published in the magazine from 1956-1958. They were reviewed and briefly updated by Gardner for this 1988 edition.


Magical Mathematics

Magical Mathematics
Author: Persi Diaconis
Publisher: Princeton University Press
Total Pages: 258
Release: 2015-10-13
Genre: Crafts & Hobbies
ISBN: 0691169772

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"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-


Time Travel and Other Mathematical Bewilderments

Time Travel and Other Mathematical Bewilderments
Author: Martin Gardner
Publisher: American Mathematical Soc.
Total Pages: 295
Release: 2020-10-06
Genre: Mathematics
ISBN: 1470463652

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Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1988 edition and contains columns published from 1974-1976.


The Math Book

The Math Book
Author: Clifford A. Pickover
Publisher: Union Square + ORM
Total Pages: 937
Release: 2011-09-27
Genre: Mathematics
ISBN: 1402797494

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The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.


The Puzzle Instinct

The Puzzle Instinct
Author: Marcel Danesi
Publisher: Indiana University Press
Total Pages: 288
Release: 2004-02-20
Genre: Games & Activities
ISBN: 9780253217080

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"Humans are the only animals who create and solve puzzles--for the sheer pleasure of it--and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." --Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." --Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... A] splendid study...." --Knight Ridder Newspapers


Algorithmic Puzzles

Algorithmic Puzzles
Author: Anany Levitin
Publisher: Oxford University Press
Total Pages: 280
Release: 2011-10-12
Genre: Mathematics
ISBN: 0199911770

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While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.


Topology Now!

Topology Now!
Author: Robert Messer
Publisher: American Mathematical Soc.
Total Pages: 240
Release: 2018-10-10
Genre:
ISBN: 1470447819

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Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.


The Universal Book of Mathematics

The Universal Book of Mathematics
Author: David Darling
Publisher: Turner Publishing Company
Total Pages: 692
Release: 2008-04-21
Genre: Mathematics
ISBN: 0470307889

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Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven