Ramanujan’s Notebooks: Part III
Autor Bruce C. Berndten Limba Engleză Paperback – 30 sep 2012
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Specificații
ISBN-13: 9781461269632
ISBN-10: 1461269636
Pagini: 528
Ilustrații: XIII, 510 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.73 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1461269636
Pagini: 528
Ilustrații: XIII, 510 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.73 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
ResearchDescriere
During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathematical results without proofs in notebooks. Upon Ramanujan's death in 1920, G.H. Hardy strongly urged that Ramanujan's notebooks be published and edited. The English mathematicians G.N. Watson and B.M. Wilson began this task in 1929, but although they devoted nearly ten years to the project, the work was never completed. In 1957, the Tata Institute of Fundamental Research in Bombay published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the tasks of editing Ramanujan's notebooks. Proofs are provided to theorems not yet proven in previous literature, and many results are so startling and different that there are no results akin to them in the literature.
Cuprins
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.