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| aha insight martin gardner: Aha! Insight Martin Gardner, 1978 Mathematical puzzles are designed to strengthen creative problem-solving by encouraging the discovery of simple solutions to seemingly complex problems |
| aha insight martin gardner: Aha! A Two Volume Collection Martin Gardner, 2006-12-14 A collection of puzzles that challenge reasoning power and intuition and help develop problem solving ability. |
| aha insight martin gardner: Aha! Aha! Insight Martin Gardner, 1978 Contains puzzles that first baffle and then delight problem solving addicts. Grew out of a collaboration between Bob Tappay and Martin Gardner to enliven the learning of mathematics. |
| aha insight martin gardner: My Best Mathematical and Logic Puzzles Martin Gardner, 2013-04-10 The noted expert selects 70 of his favorite short puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included. |
| aha insight martin gardner: Fads and Fallacies in the Name of Science Martin Gardner, 2012-05-04 Fair, witty appraisal of cranks, quacks, and quackeries of science and pseudoscience: hollow earth, Velikovsky, orgone energy, Dianetics, flying saucers, Bridey Murphy, food and medical fads, and much more. |
| aha insight martin gardner: Aha! Gotcha Martin Gardner, 1982 A pocket book of riddles, full of fun and illustrations |
| aha insight martin gardner: Creativity of an Aha! Moment and Mathematics Education , 2021-05-25 Creativity of an Aha! Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into mathematics education. It establishes relationships between Koestler’s bisociation theory and constructivist learning theories. It lays down the basis for a new theory integrating creativity with learning to describe moments of insight at different levels of student development. The collection illuminates the creativity of the eureka experience in mathematics through different lenses of affect, cognition and conation, theory of attention and constructivist theories of learning, neuroscience and computer creativity. Since Aha! is a common human experience, the book proposes bisociation as the basis of creativity for all. It discusses how to facilitate and assess Aha! creativity in mathematics classrooms. Contributors are: William Baker, Stephen Campbell, Bronislaw Czarnocha, Olen Dias, Gerald Goldin, Peter Liljedahl, John Mason, Benjamin Rott, Edme Soho, Hector Soto, Hannes Stoppel, David Tall, Ron Tzur and Laurel Wolf. |
| aha insight martin gardner: Algorithmic Puzzles Anany Levitin, Maria Levitin, 2011-10-14 Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews. |
| aha insight martin gardner: A Certain Ambiguity Gaurav Suri, Hartosh Singh Bal, 2010-07-01 While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge. |
| aha insight martin gardner: Changing Minds Howard Gardner, 2004 Publisher's description: Minds are exceedingly hard to change. Ask any advertiser who has tried to convince consumers to switch brands, any CEO who has tried to change a company's culture, or any individual who has tried to heal a rift with a friend. So many aspects of life are oriented toward changing minds--yet this phenomenon is among the least understood of familiar human experiences. Now, eminent Harvard psychologist Howard Gardner, whose work has revolutionized our beliefs about intelligence, creativity, and leadership, offers an original framework for understanding exactly what happens during the course of changing a mind--and how to influence that process. Drawing on decades of cognitive research and compelling case studies--from famous business and political leaders to renowned intellectuals and artists to ordinary individuals--Gardner identifies seven powerful factors that impel or thwart significant shifts from one way of thinking to a dramatically new one. Whether we are attempting to change the mind of a nation or a corporation, our spouse's mind or our own, this book provides insights that can broaden our horizons and improve our lives. Howard Gardner is the John H. and Elisabeth A. Hobbs Professor of Cognition and Education at the Harvard Graduate School of Education and senior director of Harvard Project Zero. The recipient of a MacArthur Prize Fellowship and 20 honorary degrees, he is the author of more than 20 books. |
| aha insight martin gardner: The Annotated Alice Lewis Carroll, 2000-01 The Annotated Alice combines the notes of Gardner's 1960 edition with his 1990 update, More Annotated Alice (not published in the UK), as well as additional discoveries drawn from Gardner's knowledge of the texts. Illustrated with John Tenniel's classic art - along with many recently discovered Tenniel pencil sketches - The Annotated Alice will be Martin Gardner's further tribute to Lewis Carroll's masterpieces. |
| aha insight martin gardner: The Poincaré Conjecture Donal O'Shea, 2008-10-30 The Poincaré Conjecture tells the story behind one of the world’s most confounding mathematical theories. Formulated in 1904 by Henri Poincaré, his Conjecture promised to describe the very shape of the universe, but remained unproved until a huge prize was offered for its solution in 2000. Six years later, an eccentric Russian mathematician had the answer. Here, Donal O’Shea explains the maths behind the Conjecture and its proof, and illuminates the curious personalities surrounding this perplexing conundrum, along the way taking in a grand sweep of scientific history from the ancient Greeks to Christopher Columbus. This is an enthralling tale of human endeavour, intellectual brilliance and the thrill of discovery. |
| aha insight martin gardner: More Oral Sadism And The Vegetarian Personality Glenn Ellenbogen, 2013-04-15 Dr. Ellenbogen has surfaced once again to answer the age-old question, Is psychology dead, or is it just sleeping? And once again, he has pulled together some of the zaniest, most irreverent articles from his satirical Journal of Polymorphous Perversityr - a magazine that the Wall Street Journal called, A social scientist's answer to Mad magazine. It just may prove to be the most effective self-help book you ever pick up!More Oral Sadism and the Vegetarian Personality unearths such gems as: What clinicians write down and what they really mean. Politically correct interpersonal relating. Anecdotes to falling asleep during the therapy session. The fine art of appearing to care about patients. How to accomodate the non-living...and much more! |
| aha insight martin gardner: The Joy of X Steven Henry Strogatz, 2012 A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the New York Times. |
| aha insight martin gardner: The Equation that Couldn't Be Solved Mario Livio, 2005-09-19 What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history. |
| aha insight martin gardner: The Last Recreations Martin Gardner, 2007-02-28 Of all of Martin Gardners writings, none gained him a wider audience or was more central to his reputation than his Mathematical Recreations column in Scientific American - which virtually defined the genre of popular mathematics writing for a generation. Flatland, Hydras and Eggs: Mathematical Mystifications is the final collection of these columns, covering the period roughly from 1979 to Gardners retirement in 1986. As always in his published collections, Gardner includes letters commenting on the ideas presented in his articles. These columns show him at the top of his form and should not be missed by anyone with an interest in mathematics. |
| aha insight martin gardner: Mindstorms Seymour A Papert, 2020-10-06 In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible. |
| aha insight martin gardner: Knotted Doughnuts and Other Mathematical Entertainments Martin Gardner, 2020-10-06 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. |
| aha insight martin gardner: The Magic Numbers of Dr. Matrix Martin Gardner, 2020-10-06 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 is a collection of Irving Joshua Matrix columns published in the magazine from 1960-1980. There were several collections of Dr. Matrix, the first in 1967; they were revised as Gardner reconnected with the good doctor over the years. This is the 1985 Prometheus Books edition and contains all the Dr. Matrix columns from the magazine. |
| aha insight martin gardner: Mental Magic Martin Gardner, 2012-08-29 Professor Picanumba has dozens of surefire tricks up his sleeve — and he's willing to show junior mathemagicians how to predict the answers to 88 word and number challenges. Includes solutions and illustrations. |
| aha insight martin gardner: What Could He Be Thinking? Michael Gurian, 2009-06 Gurian--the author of the bestsellers The Wonder of Boys and The Wonder of Girls--passes on to readers up-to-the-minute brain research about gender. |
| aha insight martin gardner: The Turing Omnibus A. K. Dewdney, 1989 |
| aha insight martin gardner: The Moscow Puzzles Boris A. Kordemsky, 1992-04-10 A collection of math and logic puzzles features number games, magic squares, tricks, problems with dominoes and dice, and cross sums, in addition to other intellectual teasers. |
| aha insight martin gardner: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| aha insight martin gardner: The Puzzle Universe Ivan Moscovich, 2015 A renowned puzzle master and game inventor presents 315 new and traditional puzzles. |
| aha insight martin gardner: Genius at Play Siobhan Roberts, 2024-10-29 A multifaceted biography of a brilliant mathematician and iconoclast A mathematician unlike any other, John Horton Conway (1937–2020) possessed a rock star’s charisma, a polymath’s promiscuous curiosity, and a sly sense of humor. Conway found fame as a barefoot professor at Cambridge, where he discovered the Conway groups in mathematical symmetry and the aptly named surreal numbers. He also invented the cult classic Game of Life, a cellular automaton that demonstrates how simplicity generates complexity—and provides an analogy for mathematics and the entire universe. Moving to Princeton in 1987, Conway used ropes, dice, pennies, coat hangers, and the occasional Slinky to illustrate his winning imagination and share his nerdish delights. Genius at Play tells the story of this ambassador-at-large for the beauties and joys of mathematics, lays bare Conway’s personal and professional idiosyncrasies, and offers an intimate look into the mind of one of the twentieth century’s most endearing and original intellectuals. |
| aha insight martin gardner: Colossal Book of Mathematics Martin Gardner, 2007-06-26 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. |
| aha insight martin gardner: When You Were a Tadpole and I Was a Fish Martin Gardner, 2009-10-13 “Martin Gardner is indispensable. Here’s the perfect introduction to the range of his obsessions—from Ann Coulter to The Wizard of Oz.” —William Poundstone, bestselling author of Are You Smart Enough to Work at Google? Best known as the longtime writer of the Mathematical Games column for Scientific American—which introduced generations of readers to the joys of recreational mathematics—Martin Gardner has for decades pursued a parallel career as a devastatingly effective debunker of what he once famously dubbed “fads and fallacies in the name of science.” It is mainly in this latter role that he is onstage in this collection of choice essays. When You Were a Tadpole and I Was a Fish takes aim at a gallery of amusing targets, ranging from Ann Coulter's qualifications as an evolutionary biologist to the logical fallacies of precognition and extrasensory perception, from Santa Claus to The Wizard of Oz, from mutilated chessboards to the little-known “one-poem poet” Langdon Smith (the original author of this volume's title line). The writings assembled here fall naturally into seven broad categories: Science, Bogus Science, Mathematics, Logic, Literature, Religion and Philosophy, and Politics. Under each heading, Gardner displays an awesome level of erudition combined with a wicked sense of humor. “When you figure out the answer [to one of Gardner’s puzzles], you know you’ve found something that is indisputably true anywhere, anytime. For a brief moment, the universe makes perfect sense.” —John Tierney, The New York Times “Smart, witty essays on science and culture.” —Carolyn Kellogg, Los Angeles Times “A more than worthwhile introduction to one of the most underappreciated polymaths of the last fifty years.” —Christopher Vola, The Brooklyn Rail |
| aha insight martin gardner: Brain Teasers Ravi Narula, 1976-01-01 The more you use the brain, the more it grows. Many in this world have never had the ‘pleasure of using one’s brain’. They know not what joy and gratification, what delight and satisfaction, what fun and contentment lies there in, and they know not what they are missing. So folks,here is a chance to catch up with others because, this book which will act as a 'rich protein diet’ that doctors say is essential for development of the brain. It offers to you a variety of thinkers, ticklers, teasers,squeezers and stranglers, that will turn and twist your brain and help you see a broader and bigger world before you. Thus making you proud when people call you intelligent, sharp, witty, humorous, quick, bright and logical. |
| aha insight martin gardner: The Total Brain Workout Marcel Danesi, 2009-03-01 Have fun and flex your mental muscle with brainteasers, word searches, cryptograms, optical illusions, sudoku, frameworks, logic puzzles, trivia and more. Did you know that different parts of your brain control different functions, and that with exercise, you can make each part of your brain stronger? In The Total Brain Workout you’ll find 450 fun, challenging and absorbing puzzles designed to specifically target the core parts of your brain that control language, logic, memory, reasoning and visual perception. Each set of puzzles ranges from easy to challenging, and is presented with information on the area of your brain being targeted and the functions it controls, so you can customize your own workout to the specific areas you want to improve. |
| aha insight martin gardner: The Colossal Book of Short Puzzles and Problems Martin Gardner, 2006 The renowned provocateur of popular math presents a collection of his widely recognized short puzzles--along with a few new ones--that explore chess, physics, probability, and topology, among other topics. |
| aha insight martin gardner: Mathematics, Magic and Mystery Martin Gardner, 1956 Challenging mathematical puzzles and tricks that may be played with cards, common objects, special equipment, drawings, and pure numbers |
| aha insight martin gardner: Forever Undecided Raymond M. Smullyan, 2012-07-04 Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided! |
| aha insight martin gardner: Play, Playfulness, Creativity and Innovation Patrick Bateson, Paul Martin, 2013-07-11 What role does playful behaviour and playful thought take in animal and human development? How does play relate to creativity and, in turn, to innovation? Unravelling the different meanings of 'play', this book focuses on non-aggressive playful play. The authors emphasise its significance for development and evolution, before examining the importance of playfulness in creativity. This discussion sheds new light on the links between creativity and innovation, distinguishing between the generation of novel behaviour and ideas on the one hand, and the implementation of these novelties on the other. The authors then turn to the role of play in the development of the child and to parallels between play, humour and dreaming, along with the altered states of consciousness generated by some psychoactive drugs. A final chapter looks forward to future research and to what remains to be discovered in this fascinating and important field. |
| aha insight martin gardner: Encyclopedia of Impromptu Magic Martin Gardner, 1998-09 |
| aha insight martin gardner: The Night Is Large Martin Gardner, 1997-07-15 The definitive work of Martin Gardner's brilliant, seven-decades-long career, The Night Is Large collects 54 of the most significant essays by this popular writer best known for his Mathematical Games columns which appeared in Scientific American magazine for more than 25 years. |
| aha insight martin gardner: The Ambidextrous Universe Martin Gardner, 1982 |
| aha insight martin gardner: Martin Gardner's Mathematical Games Martin Gardner, 2005 The entire collection of Martin Gardner's Scientific American columns are on one searchable CD! Martin Gardner's ``Mathematical Games'' column ran in Scientific American from 1956 to 1986. In these columns, Gardner introduced hundreds of thousands of readers to the delights of mathematics and of puzzles and problem solving. His column broke such stories as Rivest, Shamir and Adelman on public-key cryptography, Mandelbrot on fractals, Conway on Life, and Penrose on tilings. He enlivened classic geometry and number theory and introduced readers to new areas such as combinatorics and graph theory. The CD contains the following articles: (1) Hexaflexagons and Other Mathematical Diversions; (2) The Second Scientific American Book of Mathematical Puzzles and Diversions; (3) New Mathematical Diversions; (4) The Unexpected Hanging and Other Mathematical Diversions; (5) Martin Gardner's 6th Book of Mathematical Diversions from Scientific American; (6) Mathematical Carnival; (7) Mathematical Magic Show; (8) Mathematical Circus; (9) The Magic Numbers of Dr. Matrix; (10) Wheels, Life, and Other Mathematical Amusements; (11) Knotted Doughnuts and Other Mathematical Entertainers; (12) Time Travel and Other Mathematical Bewilderments; (13) Penrose Tiles to Trapdoor Ciphers; (14) Fractal Music, Hypercards, and more Mathematical Recreations from Scientific American and (15) The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications. A profile and interview with Martin Gardner is included in this collection. |
| aha insight martin gardner: Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi Martin Gardner, 2008-09 The first of fifteen updated editions of the collected Mathematical Games of Martin Gardner, king of recreational mathematics. |
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