Images of Infinity: Ideas and Explorations of the Meaning of Infinity

Ideas and Explorations of the Meaning of Infinity 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. This classic book, written by the seminal Leapfrogs team, has been visually updated in this second edition for a new generation. A great addition to any mathematician's library - and to school and public libraries too. Explorations for all ages. Elegant, thought provoking and wonderful. Cover Title Copyright and acknowledgements Foreword - Alf Coles Galileo Quotation Illustration Partitions Recursions More quotations - L Proclus, Cantor, Aristotle, 18th Century Encyclopedia Illustration Number series Word play Number machines Magic Staircases Dots Isoland The Book of Sand - Borges A Zeno and Galileo Paradoxes The Circle and Infinity Yoruba prayer Railway Line Fractions and Infinity Recursive Drawings Infinite Drawing Prime Plots Danilo's snail Images from Italy Program for nested squares Galileo's Difficulties Gog and Magog A String of Beads Presque Tout Tessellations An Island Coastline Cantor Sets Hotel Infinity The Cantor Story This text is a collection of stories, poetry and cartoons revolving around the problems, paradoxes and theories about the infinite and the infinitesimal - ideas that people have grappled with throughout the centuries.