The Zen Of Magic Squares Circles And Stars

Author : Clifford A. Pickover
Publisher : Princeton University Press
Page : 433 pages
File Size : 55,8 Mb
Release : 2011-11-28
Category : Mathematics
ISBN : 9781400841516

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The Zen of Magic Squares, Circles, and Stars by Clifford A. Pickover Pdf

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.

Author : M K Joseph
Publisher : Universities Press
Page : 434 pages
File Size : 48,7 Mb
Release : 2024-05-23
Category : Electronic
ISBN : 8173714665

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The Zen Of Magic Squares,Circles And Stars by M K Joseph Pdf

Author : Clifford A. Pickover
Publisher : Cambridge University Press
Page : 374 pages
File Size : 48,6 Mb
Release : 2002-09-02
Category : Games & Activities
ISBN : 0521016789

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The Mathematics of Oz by Clifford A. Pickover Pdf

Thought-provoking mysteries, puzzles, and problems ranging from zebra numbers and circular primes to Legion's number.

Author : Frank Swetz
Publisher : CRC Press
Page : 228 pages
File Size : 42,8 Mb
Release : 2008-06-16
Category : Mathematics
ISBN : 9781439865323

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Legacy of the Luoshu by Frank Swetz Pdf

A symbol of the Divine, a good luck charm, a cosmogram of the world order, a template for fengshui-through the ages, the luoshu, or magic squre of order three, has fascinated people of many different cultures. In this riveting account of cultural detective work, renowned mathematics educator, Frank J. Swetz relates how he uncovered the previously h

Author : Clifford A. Pickover
Publisher : Union Square + ORM
Page : 1054 pages
File Size : 53,5 Mb
Release : 2011-11-01
Category : Science
ISBN : 9781402790997

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The Physics Book by Clifford A. Pickover Pdf

“A thrilling, fast-paced excursion through the history of physical discovery . . . from silly putty to string theory” (Dr. Paul Halpern, author of Collider). Following his previous volumes, The Science Book and The Math Book, acclaimed science writer Clifford Pickover returns with a richly illustrated chronology of physics, containing 250 short, entertaining, and thought-provoking entries. In addition to exploring such engaging topics as dark energy, parallel universes, the Doppler effect, the God particle, and Maxwells demon, The Physics Book extends back billions of years to the hypothetical Big Bang and forward trillions of years to a time of “quantum resurrection.” Like the previous titles in this series, The Physics Book offers a lively and accessible account of major concepts without getting bogged down in complex details.

Author : Clifford A. Pickover
Publisher : Oxford University Press
Page : 272 pages
File Size : 42,8 Mb
Release : 2001-05-17
Category : Mathematics
ISBN : 9780199923816

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Surfing through Hyperspace by Clifford A. Pickover Pdf

Do a little armchair time-travel, rub elbows with a four-dimensional intelligent life form, or stretch your mind to the furthest corner of an uncharted universe. With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry. No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradition of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into "the unexplored territory lying beyond the prison of the obvious." Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers. Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

Author : Nineveh Shadrach
Publisher : Unknown
Page : 276 pages
File Size : 45,6 Mb
Release : 2009-05-01
Category : Body, Mind & Spirit
ISBN : 1926667069

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Magic Squares and Tree of Life by Nineveh Shadrach Pdf

Within the pages of this book lies one of the most powerful mandalas of the Western Mystery Tradition. For the first time in English, Nineveh Shadrach has lifted the veil on a magic square whose properties astonished Magi of an age long past. They hid this square from the uninitiated with arcane terms such as the red sulfur and great elixir. They attributed its power to the rise of figures such as Alexander the Great. For hundreds of years advanced adepts of Western Occultism had no inkling of the existence of such a powerful magical artifact. Now you do. You'll expand your knowledge of authentic ancient sacred magic when you get: a) A partial translation of an ancient manuscript, revealing some of its secrets b) The blueprint for constructing this mandala of power to awaken its energy in your life c) Advanced teachings of esoteric numerology that shed light on its mysteries d) Ten additional variations, each designed to fully manifest the spiritual power of the emanations of the Tree of Life. This book is not for beginners or for those looking for quick fix spells. Anyone who has dug in hidden places in search of secret knowledge that can change lives will find a master key inside. All that is left is for you to use that key and unleash the ancient power of kings.

Author : Ian Stewart
Publisher : OUP Oxford
Page : 256 pages
File Size : 40,6 Mb
Release : 2006-10-12
Category : Mathematics
ISBN : 9780191500718

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How to Cut a Cake by Ian Stewart Pdf

Welcome back to Ian Stewart's magical world of mathematics! This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each quirky tale presents a fascinating mathematical puzzle — challenging, fun, and also introducing the reader to a significant mathematical problem in an engaging and witty way.

Author : Anonim
Publisher : BRILL
Page : 721 pages
File Size : 45,5 Mb
Release : 2020-11-16
Category : Philosophy
ISBN : 9789004426979

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Islamicate Occult Sciences in Theory and Practice by Anonim Pdf

Islamicate Occult Sciences in Theory and Practice brings together the latest research on Islamic occult sciences from a variety of disciplinary perspectives, namely intellectual history, manuscript studies and material culture. Its aim is not only to showcase the range of pioneering work that is currently being done in these areas, but also to provide a model for closer interaction amongst the disciplines constituting this burgeoning field of study. Furthermore, the book provides the rare opportunity to bridge the gap on an institutional level by bringing the academic and curatorial spheres into dialogue. Contributors include: Charles Burnett, Jean-Charles Coulon, Maryam Ekhtiar, Noah Gardiner, Christiane Gruber, Bink Hallum, Francesca Leoni, Matthew Melvin-Koushki, Michael Noble, Rachel Parikh, Liana Saif, Maria Subtelny, Farouk Yahya, and Travis Zadeh.

Author : Sio-Iong Ao,Burghard B. Rieger,Mahyar Amouzegar
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 48,8 Mb
Release : 2010-10-05
Category : Technology & Engineering
ISBN : 9789048194193

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Machine Learning and Systems Engineering by Sio-Iong Ao,Burghard B. Rieger,Mahyar Amouzegar Pdf

A large international conference on Advances in Machine Learning and Systems Engineering was held in UC Berkeley, California, USA, October 20-22, 2009, under the auspices of the World Congress on Engineering and Computer Science (WCECS 2009). Machine Learning and Systems Engineering contains forty-six revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Expert system, Intelligent decision making, Knowledge-based systems, Knowledge extraction, Data analysis tools, Computational biology, Optimization algorithms, Experiment designs, Complex system identification, Computational modeling, and industrial applications. Machine Learning and Systems Engineering offers the state of the art of tremendous advances in machine learning and systems engineering and also serves as an excellent reference text for researchers and graduate students, working on machine learning and systems engineering.

Author : Marcel Danesi
Publisher : Turner Publishing Company
Page : 255 pages
File Size : 46,9 Mb
Release : 2011-01-06
Category : Mathematics
ISBN : 9781118045817

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The Liar Paradox and the Towers of Hanoi by Marcel Danesi Pdf

A walk through history's most mind-boggling puzzles Ever since the Sphinx asked his legendary riddle of Oedipus, riddles, conundrums, and puzzles of all sizes have kept humankind perplexed and amused. The Liar Paradox and the Towers of Hanoi takes die-hard puzzle mavens on a tour of the world's most enduringly intriguing braintwisters, from K?nigsberg's Bridges and the Hanoi Towers to Fibonacci's Rabbits, the Four Color Problem, and the Magic Square. Each chapter introduces the basic puzzle, discusses the mathematics behind it, and includes exercises and answers plus additional puzzles similar to the one under discussion. Here is a veritable kaleidoscope of puzzling labyrinths, maps, bridges, and optical illusions that will keep aficionados entertained for hours. Marcel Danesi (Etobicoke, ON, Canada) is the author of Increase Your Puzzle IQ

Author : Renna Shesso
Publisher : Weiser Books
Page : 208 pages
File Size : 42,6 Mb
Release : 2007-04-01
Category : Body, Mind & Spirit
ISBN : 9781609252748

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Math for Mystics by Renna Shesso Pdf

Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.

Author : Gareth E. Roberts
Publisher : JHU Press
Page : 320 pages
File Size : 53,8 Mb
Release : 2016-02-15
Category : Mathematics
ISBN : 9781421419190

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From Music to Mathematics by Gareth E. Roberts Pdf

A guided tour of the mathematical principles inherent in music. Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical modern music • The Hemachandra–Fibonacci numbers and the golden ratio • Magic squares • Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.

Author : John J. Watkins
Publisher : Princeton University Press
Page : 271 pages
File Size : 47,9 Mb
Release : 2012-07-22
Category : Games & Activities
ISBN : 9780691154985

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Across the Board by John J. Watkins Pdf

Discusses the mathematics of the chessboard and its problems, focusing on its history, the knight's tour problem, magic squares, domination, other variations, and independence.

Author : Lee B. Croft,Alicia C. Baehr,Patrick J. Heuer
Publisher : Lulu.com
Page : 301 pages
File Size : 55,6 Mb
Release : 2008-12-01
Category : Education
ISBN : 9780578004686

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Not to Perish by Lee B. Croft,Alicia C. Baehr,Patrick J. Heuer Pdf

As the co-authors present 13 of American Prof. of Russian Lee B. Croft's scholarly articles (in English with Russian examples), the articles fascinate as they advance the reader's knowledge of: glossolalia, poetic decipherment and translation, language philosophy and psychology, linguistic iconicity and language universals, an American Nobel-laureate scientist's inspiration, literary pornography, pervasive triplicity, spontaneous human combustion and polylingual alphamagic squares.