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Number Mosaics: Journeys in Search of Universals

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A. R. Kanga (Author)
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A. R. Kanga (Author)
4 out of 5 stars 1 customer review
ISBN-13: 978-9810218881
ISBN-10: 9810218885
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Product Details

  • Hardcover: 376 pages
  • Publisher: World Scientific Pub Co Inc (June 1995)
  • Language: English
  • ISBN-10: 9810218885
  • ISBN-13: 978-9810218881
  • Product Dimensions: 1 x 6.5 x 9 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #12,530,957 in Books (See Top 100 in Books)

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3 of 3 people found the following review helpful
Numbers Go On Steroids
By A Customer on May 23, 2000
Format: Hardcover
If you're drawn to things like magic squares, Fibonacci number puzzles or fractal geometry, you'll find "Number Mosaics" by A. R. Kanga irresistible. "Number Mosaics" is recreational mathematics on steroids. The author weaves ordinary numbers into geometrical arrangements such as spirals, stars, lattices and ladders, exploring the arithmetical properties they generate, much like magic squares. He takes a neglected corner of the arithmetical universe and spins a fascinating gossamer web, articulating a novel theory of numbers.
While this is not a text on traditional number theory, it's not George Gammow's "One, Two, Three... Infinity," either. This book is quite narrow in focus. It's not a popularization, since this is probably the only treatment of the subject in existence. It's as if Kanga hit on a vein of numerical ore, exhaustively mining and refining it into a unique theory of - Number Mosaics! The closest thing I have read is, "Magic Squares and Cubes," by W. S. Andrews, which is both a survey and a presentation of novel material.
In contrast, most popular books on mathematics today take the reader on a wide-ranging tour of dozens of topics, but don't offer original treatments such as Number Mosaics does. A sampling of my personal favorites includes: "Fractals, Chaos, Power Laws - Minutes From An Infinite Paradise," by Manfred Schroeder (1990) - This book demands some high-school math to get the most out of but is well written and chock full; "The Story Of [the square-root of minus-one], An Imaginary Tale," by Paul J. Nahin (1998); "The Divine Proportion," by H. E. Huntley (1970); "The Mathematical Tourist," by Ivars Peterson; and an excellent book by Devlin.Read more ›
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