The Zen Of Magic Squares Circles And Stars

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The Zen of Magic Squares, Circles, and Stars

Author : Clifford A. Pickover
Publisher : Princeton University Press
ISBN 13 : 1400841518
Total Pages : 433 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Zen of Magic Squares, Circles, and Stars by : Clifford A. Pickover

Download or read book The Zen of Magic Squares, Circles, and Stars written by Clifford A. Pickover and published by Princeton University Press. This book was released on 2011-11-28 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Zen Of Magic Squares,Circles And Stars

Author : M K Joseph
Publisher : Universities Press
ISBN 13 : 9788173714665
Total Pages : 434 pages
Book Rating : 4.7/5 (146 download)

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Book Synopsis The Zen Of Magic Squares,Circles And Stars by : M K Joseph

Download or read book The Zen Of Magic Squares,Circles And Stars written by M K Joseph and published by Universities Press. This book was released on with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Oz

Author : Clifford A. Pickover
Publisher : Cambridge University Press
ISBN 13 : 9780521016780
Total Pages : 374 pages
Book Rating : 4.0/5 (167 download)

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Book Synopsis The Mathematics of Oz by : Clifford A. Pickover

Download or read book The Mathematics of Oz written by Clifford A. Pickover and published by Cambridge University Press. This book was released on 2002-09-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grab a pencil. Relax. Then take off on a mind-boggling journey to the ultimate frontier of math, mind, and meaning as acclaimed author Dr Clifford Pickover, Dorothy, and Dr Oz explore some of the oddest and quirkiest highways and byways of the numerically obsessed. Prepare yourself for a shattering odyssey as The Mathematics of Oz unlocks the doors of your imagination. The thought-provoking mysteries, puzzles, and problems range from zebra numbers and circular primes to Legion's number - a number so big that it makes a trillion pale in comparison. The strange mazes, bizarre consequences, and dizzying arrays of logic problems will entertain people at all levels of mathematical sophistication. With numerous illustrations, this is an original, fun-filled, and thoroughly unique introduction to numbers and their role in creativity, computers, games, practical research, and absurd adventures that teeter on the edge of logic and insanity. The Mathematics of Oz will have you squirming in frustration and begging for more.

Magic Squares and Cubes

Author : Paul Carus
Publisher : Legare Street Press
ISBN 13 : 9781015454446
Total Pages : 0 pages
Book Rating : 4.4/5 (544 download)

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Book Synopsis Magic Squares and Cubes by : Paul Carus

Download or read book Magic Squares and Cubes written by Paul Carus and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Legacy of the Luoshu

Author : Frank Swetz
Publisher : CRC Press
ISBN 13 : 1439865329
Total Pages : 228 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Legacy of the Luoshu by : Frank Swetz

Download or read book Legacy of the Luoshu written by Frank Swetz and published by CRC Press. This book was released on 2008-06-16 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Islamicate Occult Sciences in Theory and Practice

Author :
Publisher : BRILL
ISBN 13 : 9004426973
Total Pages : 721 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Islamicate Occult Sciences in Theory and Practice by :

Download or read book Islamicate Occult Sciences in Theory and Practice written by and published by BRILL. This book was released on 2020-11-16 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Math for Mystics

Author : Renna Shesso
Publisher : Weiser Books
ISBN 13 : 1609252748
Total Pages : 208 pages
Book Rating : 4.6/5 (92 download)

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Book Synopsis Math for Mystics by : Renna Shesso

Download or read book Math for Mystics written by Renna Shesso and published by Weiser Books. This book was released on 2007-04-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Liar Paradox and the Towers of Hanoi

Author : Marcel Danesi
Publisher : Turner Publishing Company
ISBN 13 : 1118045815
Total Pages : 255 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Liar Paradox and the Towers of Hanoi by : Marcel Danesi

Download or read book The Liar Paradox and the Towers of Hanoi written by Marcel Danesi and published by Turner Publishing Company. This book was released on 2011-01-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Across the Board

Author : John J. Watkins
Publisher : Princeton University Press
ISBN 13 : 0691154988
Total Pages : 271 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Across the Board by : John J. Watkins

Download or read book Across the Board written by John J. Watkins and published by Princeton University Press. This book was released on 2012-07-22 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Machine Learning and Systems Engineering

Author : Sio-Iong Ao
Publisher : Springer Science & Business Media
ISBN 13 : 9048194199
Total Pages : 607 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Machine Learning and Systems Engineering by : Sio-Iong Ao

Download or read book Machine Learning and Systems Engineering written by Sio-Iong Ao and published by Springer Science & Business Media. This book was released on 2010-10-05 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Music to Mathematics

Author : Gareth E. Roberts
Publisher : JHU Press
ISBN 13 : 142141919X
Total Pages : 320 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis From Music to Mathematics by : Gareth E. Roberts

Download or read book From Music to Mathematics written by Gareth E. Roberts and published by JHU Press. This book was released on 2016-02-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Occult Encyclopedia of Magic Squares

Author : Nineveh Shadrach
Publisher :
ISBN 13 : 9781926667102
Total Pages : 804 pages
Book Rating : 4.6/5 (671 download)

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Book Synopsis Occult Encyclopedia of Magic Squares by : Nineveh Shadrach

Download or read book Occult Encyclopedia of Magic Squares written by Nineveh Shadrach and published by . This book was released on 2009-08-01 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is no ordinary reprint of common magic squares found in Agrippa's Three Books of Occult Philosophy. Not even close! This Occult Encyclopedia contains hundreds of new magical squares based on secret esoteric techniques developed by master sages of the ancient Near East. Did you know that there are four forms of each magic square corresponding with each of the Elements? Did you know that from each square you can extract up to 8 Angels and 8 Genies that are specific to THAT square? Did you know there is a secret mathematical code embedded in all magic squares? There is much more to the art of magic squares than even the most seasoned modern-day ceremonial magician is aware of. The Occult Encyclopedia of Magical Squares contains information that will make a difference in how you approach talismanic magic. It also contains hundreds of ready and finished squares for: Archangels and Angels of the Zodiac Archangels and Angels of the Planets Planetary Intelligences and Spirits Olympic Spirits Lords of Zodiacal Triplicities by Day and Night Angels Ruling the 12 Houses Angels of Astrological Decanates and Quinances You will get hundreds of magic squares to facilitate the evocation and aid of over 200 spiritual beings. This book is a must-have for serious seekers, no matter which magical tradition you follow.

Not to Perish

Author : Lee B. Croft
Publisher : Lulu.com
ISBN 13 : 0578004682
Total Pages : 301 pages
Book Rating : 4.5/5 (78 download)

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Book Synopsis Not to Perish by : Lee B. Croft

Download or read book Not to Perish written by Lee B. Croft and published by Lulu.com. This book was released on 2008-12-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numbers

Author : Albrecht Beutelspacher
Publisher : Courier Dover Publications
ISBN 13 : 0486803481
Total Pages : 116 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Numbers by : Albrecht Beutelspacher

Download or read book Numbers written by Albrecht Beutelspacher and published by Courier Dover Publications. This book was released on 2016-01-14 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orignally published in German: Zahlen: Geschichte, Gesetze, Geheimnisse (Munich: C.H. Beck, 2013).

Dreaming the Future

Author : Clifford A. Pickover
Publisher : Prometheus Books
ISBN 13 : 1615924175
Total Pages : 461 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis Dreaming the Future by : Clifford A. Pickover

Download or read book Dreaming the Future written by Clifford A. Pickover and published by Prometheus Books. This book was released on 2001-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: For countless generations people of every culture have practiced a broad range of dramatic and sometimes frightening techniques to peer into the future. In this fascinating book acclaimed author Clifford Pickover presents a nearly exhaustive list of fortune-telling techniques, from the ominous practice of human sacrifice to reading clues on the Internet.Pickover not only explores a vast and colorful array of methods of prediction--including dreaming--he also evaluates the accuracy of some of the most astonishing prophecies made throughout history. Just how accurate were such famous soothsayers as Nostradamus, the Delphic Oracle, Edgar Cayce, the children of Fatima (whose third vision has only recently been revealed), and dozens more?This book takes us one step further by exploring our own inner psyches: Why does looking into the future provide a source of solace in a world filled with uncertainty, disease, and chance? And why do the most noted prognosticators so often warn of natural catastrophes of biblical proportions, such as earthquakes and floods that will signal the end of the world?Through insight and wit, Pickover will unlock the door of your imagination with engrossing mysteries, intriguing illustrations, and even modern patents and computer techniques. Also included is a range of practical experiments and recipes--from Stone Age to New Age.Prepare yourself for a strange but captivating ride!

Number Treasury3

Author : Margaret J Kenney
Publisher : World Scientific
ISBN 13 : 9814603716
Total Pages : 324 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Number Treasury3 by : Margaret J Kenney

Download or read book Number Treasury3 written by Margaret J Kenney and published by World Scientific. This book was released on 2015-06-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures. To engage the reader from the start, the book begins with a set of rich Investigations. These are standalone activities that represent each of the chapters of the book. Contents:A Perfect Number of Investigations 28 = 1 + 2 + 4 + 7 + 14Numbers Based on Divisors and Proper DivisorsPlane Figurate NumbersSolid Figurate NumbersMore Prime ConnectionsDigital Patterns and Noteworthy NumbersMore Patterns and Other Interesting Numbers Readership: Secondary and intermediate classroom teacher and tertiary mathematics education instructor; undergraduates whose interest is in teaching mathematics at the pre-tertiary level and the segment of the general public for whom mathematics might be a hobby. Key Features:Differs from other books that treat numbers (formally or informally) because it contains numerous exercises and problems, detailed examples for the reader to follow, and the narrative is kept to a minimumHas broad appeal for different audiencesIs a gateway to families of positive integers which leads and encourages the reader to go beyond the book to deeper study of the topics presentedKeywords:Subsets of Positive Integers;Number Types/Families;Introductory Facts About Numbers

The Math Book

Author : Clifford A. Pickover
Publisher : Union Square + ORM
ISBN 13 : 1402797494
Total Pages : 937 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis The Math Book by : Clifford A. Pickover

Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.