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Images of Infinity

Images of Infinity


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About the Book

Who has not wondered if there is something beyond the universe? Or if there is a biggest number? Or if there is something smaller than the smallest thing? These are questions about different infinities. Exploring the paradoxes and riddles of what infinity means is the invitation contained in this book. And, more than that, in these pages is an invitation to engage in mathematics as a creative, collaborative endeavour, linked to our intuitions and emotions and of relevance to our lives. This Second Edition, coming nearly 30 years after the first, takes classic ideas and brings them up to date with the smartphone age making it fascinating and relevant to anyone loosely interested in popular science, or more squarely, with the Queen of Sciences itself, Mathematics.

Table of Contents:
The thoughts and images of infinity of Escher, Galileo, Borges, Aristotle, Zeno, KeplerPartitionsRecursionsContractionsMagic StaircasesReciprocalsBicimals, Tricimals, Decimals Prime plotsThe Snowflake CurveProgramming nested squaresGog and MagogBead problemsPlaying with the number 9TessellationsHow long is the coast of the Isle of Wight?Cantor SetsThe Infinity Hotel

About the Author :
Ray Hemmings and Dick Tahta were pre-eminent mathematics educators in the late Twentieth Century, and formed the Leapfrogs Group to produce a range of excellent resources and to explore ideas. Alf Coles was part of this Group.

Review :
"Anyone, young or old, with any interest in mathematics will at some point have been fascinated by the ideas of paradox and of infinity. This book was first published by Tarquin Books famous for its production of mathematical paper kits for polyhedra constructions and much else. This present edition is published by the Leapfrogs Group. The book is famous for the way that it blends text with illustrative diagrams. It starts with the ideas concerning recursion and works through to the ideas concerning paradox and Cantor's sets and the notion of "infinities of infinity". Examples of topics well described and illustrated are: Zeno's and Galileo's paradoxes, mathematical series, number theory, snowflakes and fractals, prime number theory, nesting, tessellation, Mandelbrot and Cantor sets and (Hebrew) Aleph, correspondence and countability, and much more. "Infinite sets are not like finite sets - in an infinite set you can have a part of it which is equal the the whole of it". All who finds mathematical ideas exciting, will be delighted with this book. I have used the book for many years both for teaching and personal interest. I have seen no other general book that treats infinity so well." K Sharratt, Teacher


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Product Details
  • ISBN-13: 9781911093466
  • Publisher: Tarquin Publications
  • Publisher Imprint: Tarquin Publications
  • Edition: Revised edition
  • Language: English
  • Spine Width: 8 mm
  • Width: 240 mm
  • ISBN-10: 1911093460
  • Publisher Date: 15 Jun 2017
  • Binding: Paperback
  • Height: 210 mm
  • No of Pages: 96
  • Weight: 358 gr


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