Download Ebook Magic Tricks, Card Shuffling and Dynamic Computer Memories (Spectrum)
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Magic Tricks, Card Shuffling and Dynamic Computer Memories (Spectrum)
Download Ebook Magic Tricks, Card Shuffling and Dynamic Computer Memories (Spectrum)
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Review
'Provides a fascinating mix of history, mathematics and great magic tricks. I learned something on every page.' Ron Graham, Chief Scientist, AT&T' ... essential reading for any magic buff ... anyone can read it with profit.' Martin Gardner
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Book Description
Here is a book that explores the fascinating interconnections between three seemingly unrelated topics. Each chapter begins with the description of a card trick and ends with its explanation, usually using some mathematics developed earlier. The book itself is designed as a prop for a trick, but you don't need to use mathematics or even understand it to do some 'magic'.
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Product details
Series: Spectrum
Paperback: 150 pages
Publisher: American Mathematical Society; 1 edition (December 31, 1998)
Language: English
ISBN-10: 0883855275
ISBN-13: 978-0883855270
Product Dimensions:
6 x 0.4 x 9 inches
Shipping Weight: 4.2 ounces
Average Customer Review:
5.0 out of 5 stars
2 customer reviews
Amazon Best Sellers Rank:
#2,408,361 in Books (See Top 100 in Books)
I accidentaly discussed the perfect shuffling problem with one of my high-school talented student recently. We found this problem very interesting, and involved many deep thoughts in mathematics. After many times of discussions my student wrote a exercise paper about the order of shuffling . So I'm very glad to found a book totally dedicated to this small mathematical gem. This book approaches the complete shuffling in many ways: first in number theory, then groups, then linear and abstract algebra and computer dimamics .Via these chapters readers will find this problem is much more deep than he had thought. Although there are many "hard" mathematics in this book, we still havesome "soft" chapters dealing with magic tricks (and it's really fun! ). This is a very good introducing book indeed, it covers recreation mathematics and serious mathematics. However, in my opinion, the pace of this book seems a bit too fast, for a non-math-major reader, those formulas look very formidable! ) It could explore those formulas in detail, and it should have contained some related topics: for example, the prime root in number theory, the combinatorics facet, etc.
Anyone interested in designing mathematical card tricks should own at least four books: Magical Mathematics by Diaconis and Graham, Mathematical Card Magic by Mulcahy, Charles Jordan's Best Card Tricks by Fulves (impossible to resist after reading Diaconis and Graham), and Magic Tricks, Card Shuffling, and Dynamic Computer Memories by Morris. Except for (possibly) Fulves, all of these books are primarily concerned with mathemagical card tricks and the mathematical principles animating them, but unlike the books of Diaconis and Graham or Mulcahy, Morris' book is strictly focused on tricks relating the the faro (or perfect, or weave) shuffle. Although the scope of coverage is much narrower, Morris is able to go deep into the theory behind the tricks making this book read the most like a traditional math monograph.The book is presented in five (excellently-written) chapters, each of which concludes with a card trick based upon the principles illuminated in that chapter (and all of which require a faro shuffle to perform, or else must be reformulated using a different but mathematically equivalent shuffle). Chapter 1 discusses the basics of a faro shuffle including the formulas for the in and odd faro shuffles for decks of even and odd parity. Chapter 2 introduces the order of shuffles, with highlights being the Fundamental Theorem of Faro Shuffling in Odd Decks (Theorem 2.5) and Elmsley's Principle. Chapter 3 introduces the concept of a cut and examines the shuffle group. This is possibly my favorite chapter as it covers the classic results of Golumb and Diaconis, Graham, and Cantor, on the structure of groups generated by In and Out shuffles, and Cuts on decks of even and odd parity. Chapter 4 is concerned with generalizations of the perfect shuffle, and Chapter 5 covers results on dynamic computer memory which are proven using techniques of the previous 4 chapters.This book is an excellent supplement to a first semester undergraduate algebra course (in particular as a source of inspiration for interesting problems!) or as a standalone text for a short course. Some familiarity with group theory is required (though it can be learnt in tandem with the text), as well as a small amount of elementary number theory (if I recall, Fermat's Little Theorem, Bezout's Identity, and the concept of a primitive root). Although they do not appear in this text, the book quite naturally sets up the discussion of group actions, the orbit-stabilizer theorem, etc.In terms of laying a mathematical foundation for designing card tricks this is the most completely developed text that I have come across, with the obvious caveat that it is restricted to faro shuffling. This text was published in 1998 and contains most major results on the faro shuffle published up to that time, with the possible exception of a discussion on Levy's theory of types. However, anyone planning to do research in this area should be aware that there have been advances in this area since the book's publication, for example regarding the solution of Elmsley's Problem.On a final, practical, note, the book contains an excellent appendix on the mechanics of performing a faro shuffle.
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