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Author: Jacques Sesiano
Publisher: Springer
ISBN: 3319521144
Category : Mathematics
Languages : en
Pages : 398
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Book Description
This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts, and the third contains the original Arabic texts, which date back to the tenth century.
Author: Jacques Sesiano
Publisher: Springer
ISBN: 3319521144
Category : Mathematics
Languages : en
Pages : 398
Get Book Here
Book Description
This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts, and the third contains the original Arabic texts, which date back to the tenth century.
Author: Jacques Sesiano
Publisher: Springer
ISBN: 3030179931
Category : Mathematics
Languages : en
Pages : 321
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Book Description
The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.
Author:
Publisher: BRILL
ISBN: 9004426973
Category : Philosophy
Languages : en
Pages : 721
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Book Description
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: Ian Stewart
Publisher: Basic Books
ISBN: 0465042716
Category : Mathematics
Languages : en
Pages : 353
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Book Description
Renowned mathematician Ian Stewart uses remarkable (and some unremarkable) numbers to introduce readers to the beauty of mathematics. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.
Author: Nathan Sidoli
Publisher: Springer Science & Business Media
ISBN: 3642367364
Category : Mathematics
Languages : en
Pages : 584
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Book Description
This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.
Author: Clifford A. Pickover
Publisher: Princeton University Press
ISBN: 1400841518
Category : Mathematics
Languages : en
Pages : 424
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Book Description
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
ISBN: 9788173714665
Category :
Languages : en
Pages : 434
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Book Description
Author: Michael Y. MAK
Publisher: City University of HK Press
ISBN: 9629372363
Category : Architecture
Languages : en
Pages : 382
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Book Description
Feng Shui is not all about tradition. The integration and harmony between the natural and built environments concerning modern architecture has long been discussed in Feng Shui, or more academically, Kan Yu. Based on Scientific Feng Shui for the Built Environment: Fundamentals and Case Studies published in 2011, this enhanced new edition has further taken into account the enhancements and new inputs in theories and applications. Emphasis is placed on two themes, sustainability and science. New case studies regarding sustainable design as viewed from a Feng Shui perspective, and integrated applications of different architectural models and their associations with Feng Shui concepts are added and elaborated. On science, other than exploring the new development of particle physics in relation to Feng Shui studies, a totally new approach to numerology and Luo Shu study based on modern linear algebra may bring readers new insight into the possibility of researching Feng Shui mathematically, in addition to the use of spherical trigonometry. This book offers a remarkable in-depth view of Feng Shui by integrating the historical theories with scientific explorations and examples of applications. It once again demonstrates that Feng Shui can be studied scientifically, and eventually scientific Feng Shui may become a new field of science in the academic world as well as a professional and orthodox discipline of architectural design for the built environment. Published by City University of Hong Kong Press. 香港城市大學出版社出版。
Author: Giorgio Ausiello
Publisher: Springer Science & Business Media
ISBN: 3642396526
Category : Education
Languages : en
Pages : 262
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Book Description
To examine, analyze, and manipulate a problem to the point of designing an algorithm for solving it is an exercise of fundamental value in many fields. With so many everyday activities governed by algorithmic principles, the power, precision, reliability and speed of execution demanded by users have transformed the design and construction of algorithms from a creative, artisanal activity into a full-fledged science in its own right. This book is aimed at all those who exploit the results of this new science, as designers and as consumers. The first chapter is an overview of the related history, demonstrating the long development of ideas such as recursion and more recent formalizations such as computability. The second chapter shows how the design of algorithms requires appropriate techniques and sophisticated organization of data. In the subsequent chapters the contributing authors present examples from diverse areas – such as routing and networking problems, Web search, information security, auctions and games, complexity and randomness, and the life sciences – that show how algorithmic thinking offers practical solutions and also deepens domain knowledge. The contributing authors are top-class researchers with considerable academic and industrial experience; they are also excellent educators and communicators and they draw on this experience with enthusiasm and humor. This book is an excellent introduction to an intriguing domain and it will be enjoyed by undergraduate and postgraduate students in computer science, engineering, and mathematics, and more broadly by all those engaged with algorithmic thinking.
Author: Alan F. Beardon
Publisher: Cambridge University Press
ISBN: 1316721086
Category : Mathematics
Languages : en
Pages : 129
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Book Description
Mathematical Explorations follows on from the author's previous book, Creative Mathematics, in the same series, and gives the reader experience in working on problems requiring a little more mathematical maturity. The author's main aim is to show that problems are often solved by using mathematics that is not obviously connected to the problem, and readers are encouraged to consider as wide a variety of mathematical ideas as possible. In each case, the emphasis is placed on the important underlying ideas rather than on the solutions for their own sake. To enhance understanding of how mathematical research is conducted, each problem has been chosen not for its mathematical importance, but because it provides a good illustration of how arguments can be developed. While the reader does not require a deep mathematical background to tackle these problems, they will find their mathematical understanding is enriched by attempting to solve them.
