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The mathematics of harmony : from Euclid to contemporary mathematics and computer science
Authors: ---
ISBN: 128276019X 9786612760198 9812775838 Year: 2009 Publisher: Singapore ; Hackensack, NJ : World Scientific,

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Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has its origins in "The Elements" of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and


Book
The mathematics of harmony
Authors: ---
ISBN: 9789812775832 9789812775825 9812775838 981277582X Year: 2009 Publisher: Singapore Hackensack, NJ World Scientific

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Abstract

Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Recent advances in the field, particularly Parrondo's paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, 21, inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp's warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not Gambling for Dummies or How To Beat The Odds Without Really Trying. A background in upper-level undergraduate mathematics is helpful for understanding this work. Comprehensive and exciting analysis of all major casino games and variants. Covers a wide range of interesting topics not covered in other books on the subject

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