Ramanujan's Notebooks
Part III
(Sprache: Englisch)
Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken....
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Klappentext zu „Ramanujan's Notebooks “
Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.
Inhaltsverzeichnis zu „Ramanujan's Notebooks “
16 q-Series and Theta-Functions.- 17 Fundamental Properties of Elliptic Functions.- 18 The Jacobian Elliptic Functions.- 19 Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities.- 20 Modular Equations of Higher and Composite Degrees.- 21 Eisenstein Series.- References.
Autoren-Porträt von Bruce C. Berndt
During the years 1903-1914, Ramanujan recorded most of his mathematical discoveries without proofs in notebooks. This book is the third of five volumes devoted to the editing of these notebooks. Proofs are provided to theorems not yet proven in the literature, and many results are so startling and different that there are no results akin to them in the literature.
Bibliographische Angaben
- Autor: Bruce C. Berndt
- 2012, Softcover reprint of the original 1st ed. 1991, 510 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1461269636
- ISBN-13: 9781461269632
Sprache:
Englisch
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