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Fibonacci Cubes With Applications And Variations
Fibonacci Cubes have been an extremely popular area of research since the 1990s.This unique compendium features the state of research into Fibonacci Cubes. It expands the knowledge in graph theoretic and combinatorial properties of Fibonacci Cubes and their variants.By highlighting various approaches with numerous examples, it provides a fundamental source for further research in the field. This useful reference text surely benefits advanced students in computer science and mathematics and serves as an archival record of the current state of the field.
Fractal Music, Hypercards and More...
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1992 edition and contains columns published from 1978-1979.
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The Tower of Hanoi – Myths and Maths
The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms, together with their correctness proofs, form an esse...
The Oxford Handbook of Music in China and the Chinese Diaspora
In The Oxford Handbook of Music in China and the Chinese Diaspora, twenty-three scholars advance knowledge and understandings of Chinese music studies. Each contribution develops a theoretical model to illuminate new insights into a key musical genre or context. This handbook is categorized into three parts. In Part One, authors explore the extensive, remarkable, and polyvocal historical legacies of Chinese music. Ranging from archaeological findings to the creation of music history, chapters address enduring historical practices and emerging cultural expressions. Part Two focuses on evolving practice across a spectrum of key instrumental and vocal genres. Each chapter provides a portrait of...
