Symmetry and the Monster: One of the Greatest Quests of Mathematics

Author(s): Mark Ronan

SCIENCE & NATURE

Imagine a giant snowflake in 196,884 dimensions...This is the story of a mathematical quest that began two hundred years ago in revolutionary France, led to the biggest collaboration ever between mathematicians across the world, and revealed the 'Monster' - not monstrous at all, but a structure of exquisite beauty and complexity. Told here for the first time in accessible prose, it is a story that involves brilliant yet tragic characters, curious number 'coincidences' that led to breakthroughs in the mathematics of symmetry, and strange crystals that reach into many dimensions. And it is a story that is not yet over, for we have yet to understand the deep significance of the Monster - and its tantalizing hints of connections with the physical structure of spacetime. Once we understand the full nature of the Monster, we may well have revealed a whole new and deeper understanding of the nature of our Universe.


Product Information

Ronan unfolds his story with admirable verve and clarity... [His] exposition includes entertaining glimpses of the personalities involved in this extraordinary quest, but best of all gives an admirabe amount of detail concerning the actual substance of their work. Peter Pesic. TLS ...accessible, artfully written...it stresses the human side of the drama. Though I have been a long-time participant in the story, I found myself learning much in every chapter and not wanting to put the book down. Robert L. Griess Jr. Ronan does a good job of describing the mathematics in broad strokes and giving a flavour of what is happening and - more importantly - why mathematicians get excited about these questions. The Mathematical Association of America This book tells for the first time the fascinating story of the biggest theorem ever to have been proved. Mark Ronan graphically describes not only the last few decades of the chase and the intriguing characters who led it, but also some of the more interesting byways, including my personal favourite, the one I called "Monstrous Moonshine". John H. Conway, F.R.S. Ronan tells a good story, and in doing so he paints a convincing picture of how mathematicians conduct their research. Gareth Jones, London Mathematical Society Newsletter

Prologue; 1. Theaetetus's Icosahedron; 2. Galois: Death of a Genius; 3. Irrational Solutions; 4. Groups; 5. Sophus Lie; 6. Lie Groups and Physics; 7. Going Finite; 8. After the War; 9. The Man from Uccle; 10. The Big Theorum; 11. Pandora's Box; 12. The Leech Lattice; 13. Fischer's Monsters; 14. The Atlas; 15. A Monstrous Mystery; 16. Construction; 17. Moonshine; Appendix 1: The Golden Section; Appendix 2: The Witt Design; Appendix 3: The Leech Lattice; Appendix4: The 26 Exceptions

General Fields

  • : 9780192807236
  • : Oxford University Press
  • : Oxford University Press
  • : 0.203
  • : 26 July 2007
  • : 196mm X 129mm X 18mm
  • : United Kingdom
  • : books

Special Fields

  • : Mark Ronan
  • : Paperback
  • : New edition
  • : English
  • : 510.9
  • : 272
  • : Line drawings & 12 halftones