The Magic Numbers of Dr. Matrix draws us into the intriguing and fascinating world of numbers and number theory. "Numbers, you know, have a mysterious life of their own. It would be naive," claims Dr. Matrix, "to suppose that there is such a thing as a randomly arranged group of symbols." Consider, for example, the decimal expansion of pi. Long considered a random series, it is actually rich with remarkable patterns. "Correctly interpreted," says Dr. Matrix, "pi conveys the entire history of the human race." Dr. Matrix uncovers patterns and signs that will astound you. As Dr. Matrix demonstrates, we need only look to find clues all around us in number and language "coincidences" that will unlock the mysteries of the universe. In The Magic Numbers of Dr. Matrix, Martin Gardner introduces us to this extraordinary man, Dr. Irving Joshua Matrix. Believed by many to be the greatest numerologist who ever lived, Dr. Matrix claims to be a reincarnation of Pythagoras. He was, however, completely unknown to the scientific community until Gardner wrote about him in Scientific American in 1960. That first report and the subsequent ones that appeared with each new encounter are collected here in their entirety. We follow Dr. Matrix as he roams the world and assumes new identities and discovers new manifestations of the power of numbers to explain and predict and entertain. Always at his side is his beautiful Eurasian daughter, Iva, who abets and protects her father in each new adventure. As you delve into The Magic Numbers of Dr. Matrix, you will master some significant combinatorial mathematics and number theory. The many remarkable puzzles of Dr. Matrix are all clearly answered in the back of the book, together with commentary and references by Gardner to enlighten the uninitiated and entertain the inquiring reader.
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.
The Professor in Owen O'Shea's book is the imaginary American Richard Stein. As Owen O'Shea and the Professor travel through Ireland, O'Shea notes the Professor's collection of amazing magic numbers in fascinating detail. His mathematical curiosities are wide ranging, concerning the 1915 sinking of the Lusitania to coincidences about Apollo 11 to the first moon walk to new numerical curiosities. The new curiosities, among many others, center on Presidents Lincoln and Kennedy, the USA and Ireland, the two World Wars, the King James Version of the Bible, and James Joyce. The Magic Numbers of the Professor reveals astonishing details about the year 1776; the year of American Independence. It contains discussions on prime numbers, gives some wonderful number patterns, and reveals many other eye-opening properties of numbers. It asks, for instance, if you know in how many different ways a US dollar can be changed. The Professor gives the answer to this and other currency questions. The number of the Beast 666, is discussed as well, as are many new equations involving that famous number—all appearing here for the first time. And for those fascinated by games and gambling, a number of curious proposition bets involving dice, darts, and playing cards, and various mathematical puzzles are scattered throughout this singularly entertaining book.
New Scientist magazine was launched in 1956 "for all those men and women who are interested in scientific discovery, and in its industrial, commercial and social consequences". The brand's mission is no different today - for its consumers, New Scientist reports, explores and interprets the results of human endeavour set in the context of society and culture.
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 was originally published in 1989 and contains columns from published 1976-1978. This 1997 MAA edition contains three new columns written specifically for this volume including the resurrection of the lamented Dr. Matrix.
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 1992 edition and contains columns published from 1978-1979.
The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.
This second collection of interesting mathematical puzzles continues the tribute to Martin Gardner, who has provided us with original puzzles and puzzling stories ever since he created and produced the "Mathematical Games" column in Scientific American. The international community of puzzle enthusiasts has gathered once again to celebrate Martin Ga
Martin Gardner has entertained the world with his puzzles for decades and inspired countless mathematicians and scientists. As he rounds out another decade, his colleagues are paying him tribute with this special collection that contains contributions from some of the most respected puzzlemasters, magicians and mathematicians, including: - John H.
"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"-
Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new number theory conjectures. This book becomes a platform for exploring new concepts such as the index of composition and the index of isolation of an integer. In addition, the book displays several tables of particular families of numbers, including the list of all 88 narcissistic numbers and the list of the eight known numbers which are not prime powers but which can be written as the sum of the cubes of their prime factors, and in each case with the algorithm used to create them.