## Table of contents for Poincarãae's prize : the hundred-year quest to solve one of math's greatest puzzles / George Szpiro.

Bibliographic record and links to related information available from the Library of Congress catalog.

**Note:** Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.

Contents
Preface (to follow)
Chapter 1: Fit for a King
Grigori Perelman's unprecedented refusal of a Field's Medal for solving one
of the greatest problems of our age. The king waits in vain.
Chapter 2: What Flies Know and Ants Don't
The importance of dimensions for Christopher Columbus and for bugs.
Chapter 3: The Forensic Engineer
The life of Henri Poincaré, in particular his investigation of a disaster in a
coal mine.
Chapter 4: An Oscar For The Best Script
Poincaré's prize-winning theory of the solar system's stability ... and the
scandal.
Chapter 5: Geometry Without Euclid
Topology, how this mathematical discipline developed since Euler
Chapter 6: From Copenhagen and Hamburg to Black Mountain, North Carolina
Poincaré's first, incorrect, attempt to prove the conjecture... and the
parts he got right.
Chapter 7: A Question that Leads Too Far Astray
What the conjecture is really all about, or, imaging things that are
unimaginable.
Chapter 8: More Dead Ends and a Mysterious Disease
Around the world with three-dimensional spheres.
Chapter 9: Voyage to Higher Dimensions
William Thurston's geometrization conjecture (in which space is made of eight building blocks).
Chapter 10: Inquisition ¿ West Coast Style
P ursuing the elusive objective and how the hopefuls end up with egg on their faces.
Chapter 11: Watching Things Go ¿Pop¿
Richard Hamilton gets going with the Ricci Flow... and then gets stuck
Chapter 12: The Cigar Surgeon
The proof lands on the internet. Swooping up Poincaré, Thurston and Hamilton.
History is made.
Chapter 13: The Gang of Four, Plus Two
Vetting the proof, Harvard prof pushing his protégés into the limelight.
Chapter 14: The Prize
The minor matter of a million dollars. Does money motivate math?
Endnotes
Bibliography (to follow)
Index

Library of Congress Subject Headings for this publication:

Mathematics -- Problems, exercises, etc.

Mathematics -- Popular works.