Invitation to the Mathematics of Fermat-Wiles

Couverture
Elsevier, 24 sept. 2001 - 400 pages

Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context.

This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle.

  • Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math
  • Sets the math in its historical context
  • Contains several themes that could be further developed by student research and numerous exercises and problems
  • Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem
 

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Table des matières

Chapter 1 Paths
1
Chapter 2 Elliptic functions
68
Chapter 3 Numbers and groups
118
Chapter 4 Elliptic curves
172
Chapter 5 Modular forms
255
Chapter 6 New paradigms new enigmas
325
The origin of the elliptic approach to Fermats last theorem
359
Bibliography
371
Index
375
Droits d'auteur

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Expressions et termes fréquents

Fréquemment cités

Page xi - By a special prerogative of the human race," says he, " not only each man advances day by day in the sciences, but all men together make continual progress therein, as the universe grows old ; because the same thing happens in the succession of men which takes place in the different ages of an individual. So that the whole succession of men in the course of so many ages may be regarded as one man who lives always and wha learns continually.
Page xi - Those whom we call ancients were really novices in all things, and actually belonged to the childhood of man; and as we have added to their knowledge the experience of the centuries which followed them, it is in ourselves that may be found this antiquity which we revere in others.
Page 374 - Proprietes galoisiennes des points d'ordre fini des courbes elliptiques', Invent. Math. 15 (1972), 259-331.

À propos de l'auteur (2001)

Yves Hellegouarch studied at the École Normale Supérieure in Paris. He has been teaching at the University of Caen since 1970. In 1972 he wrote a thesis, "Elliptic Curves and Fermat's Equation."

Informations bibliographiques