Colossal Book of Mathematics

Colossal Book of Mathematics
Title Colossal Book of Mathematics PDF eBook
Author Martin Gardner
Publisher National Geographic Books
Pages 0
Release 2007-06-26
Genre Mathematics
ISBN 0393020231

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No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume comprises a substantial and definitive monument to Gardner's influence on mathematics, science, and culture. In its twelve sections, The Colossal Book of Math explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerizing, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist M. C. Escher constructs his unique, dizzying universe. Gardner, like few thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension," for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere." With boundless wisdom and his trademark wit, Gardner allows the reader to further engage challenging topics like probability and game theory which have plagued clever gamblers, and famous mathematicians, for centuries. Whether debunking Pascal's wager with basic probability, making visual music with fractals, or uncoiling a "knotted doughnut" with introductory topology, Gardner continuously displays his fierce intelligence and gentle humor. His articles confront both the comfortingly mundane—"Generalized Ticktacktoe" and "Sprouts and Brussel Sprouts"—and the quakingly abstract—"Hexaflexagons," "Nothing," and "Everything." He navigates these staggeringly obscure topics with a deft intelligence and, with addendums and suggested reading lists, he informs these classic articles with new insight. Admired by scientists and mathematicians, writers and readers alike, Gardner's vast knowledge and burning curiosity reveal themselves on every page. The culmination of a lifelong devotion to the wonders of mathematics, The Colossal Book of Mathematics is the largest and most comprehensive math book ever assembled by Gardner and remains an indispensable volume for the amateur and expert alike.




Colossal Book of Short Puzzles and Problems

Colossal Book of Short Puzzles and Problems
Title Colossal Book of Short Puzzles and Problems PDF eBook
Author Martin Gardner
Publisher National Geographic Books
Pages 0
Release 2005-12-20
Genre Mathematics
ISBN 0393061140

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Finally collected in one volume, Martin Gardner's immensely popular short puzzles; along with a few new ones from the master. For more than twenty-five years, Martin Gardner was Scientific American's renowned provocateur of popular math. His yearly gatherings of short and inventive problems were easily his most anticipated math columns. Loyal readers would savor the wit and elegance of his explorations in physics, probability, topology, and chess, among others. Grouped by subject and arrayed from easiest to hardest, the puzzles gathered here, which complement the lengthier, more involved problems in The Colossal Book of Mathematics, have been selected by Gardner for their illuminating; and often bewildering; solutions. Filled with over 300 illustrations, this new volume even contains nine new mathematical gems that Gardner, now ninety, has been gathering for the last decade. No amateur or expert math lover should be without this indispensable volume; a capstone to Gardner's seventy-year career.




Colossal Book of Wordplay

Colossal Book of Wordplay
Title Colossal Book of Wordplay PDF eBook
Author Martin Gardner
Publisher Puzzlewright
Pages 160
Release 2010-09-07
Genre Games
ISBN 9781402765032

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A true pioneer in the field of recreational mathematics, Martin Gardner has been wrangling words for decades, and his latest opus is nothing short of extraordinary. From amazing anagrams and silly spoonerisms to alphamagic squares and cryptarithms, this mind-bending compendium is chock-full of whimsical forms of wordplay that are sure to have sesquipedalian scholars and limber-minded logophiles racking their brains in delight.




The Math Book

The Math Book
Title The Math Book PDF eBook
Author Clifford A. Pickover
Publisher Union Square + ORM
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 Handy Math Answer Book

The Handy Math Answer Book
Title The Handy Math Answer Book PDF eBook
Author Patricia Barnes-Svarney
Publisher Visible Ink Press
Pages 528
Release 2012-05-01
Genre Mathematics
ISBN 1578593883

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From modern-day challenges such as balancing a checkbook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics. Organized into chapters that cluster similar topics in an easily accessible format, this reference provides clear and concise explanations about the fundamentals of algebra, calculus, geometry, trigonometry, and other branches of mathematics. It contains the latest mathematical discoveries, including newly uncovered historical documents and updates on how science continues to use math to make cutting-edge innovations in DNA sequencing, superstring theory, robotics, and computers. With fun math facts and illuminating figures, The Handy Math Answer Book explores the uses of math in everyday life and helps the mathematically challenged better understand and enjoy the magic of numbers.




Mathematics and the Laws of Nature

Mathematics and the Laws of Nature
Title Mathematics and the Laws of Nature PDF eBook
Author John Tabak
Publisher Infobase Publishing
Pages 236
Release 2014-05-14
Genre Electronic books
ISBN 0816068720

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Many of the great minds of the past used mathematics to explore and then define the principal laws of nature.




Famous Puzzles of Great Mathematicians

Famous Puzzles of Great Mathematicians
Title Famous Puzzles of Great Mathematicians PDF eBook
Author Miodrag Petkovi_
Publisher American Mathematical Soc.
Pages 346
Release 2009-09-02
Genre Mathematics
ISBN 0821848143

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This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics.