Résumé
During the years 1903-1914, Ramanujan recorded many of his
mathematical discoveries in notebooks without providing
proofs. Although many of his results were already in the
literature, more were not. Almost a decade after
Ramanujan's death in 1920, G.N. Watson and B.M. Wilson
began to edit his notebooks but never completed the task. A
photostat edition, with no editing, was published by the
Tata Institute of Fundamental Research in Bombay in 1957.
This book is the second of four volumes devoted to the
editing of Ramanujan's Notebooks. Part I, published in
1985, contains an account of Chapters 1-9 in the second
notebook as well as a description of Ramanujan's quarterly
reports. In this volume, we examine Chapters 10-15 in
Ramanujan's second notebook. If a result is known, we
provide references in the literature where proofs may be
found; if a result is not known, we attempt to prove it.
Not only are the results fascinating, but, for the most
part, Ramanujan's methods remain a mystery. Much work still
needs to be done. We hope readers will strive to discover
Ramanujan's thoughts and further develop his beautiful
ideas.
Index.
Contents
Introduction.
- Hypergeometric Series, I.
- Hypergeometric Series, II.
- Continued Fractions.
- Integrals and Asymptotic Expansions.
- Infinite Series.
- Asymptotic Expansions and Modular Forms.
Index.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Bruce C. Berndt |
| Parution | 01/05/1999 |
| Nb. de pages | 360 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 697g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387967943 |
Avantages Eyrolles.com
Livraison à partir de 0,01 € en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
