Ramanujan’s Notebooks - Bruce C. Berndt

Ramanujan’s Notebooks

Part III

(Autor)

Buch | Softcover
510 Seiten
2012 | Softcover reprint of the original 1st ed. 1991
Springer-Verlag New York Inc.
978-1-4612-6963-2 (ISBN)
267,49 inkl. MwSt
During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Hardy strongly urged that Ramanujan's notebooks be published and edited. In 1977, Berndt began the tasks of editing Ramanujan's notebooks.
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.

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.

Zusatzinfo XIII, 510 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-4612-6963-6 / 1461269636
ISBN-13 978-1-4612-6963-2 / 9781461269632
Zustand Neuware
Informationen gemäß Produktsicherheitsverordnung (GPSR)
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Sieben ausgewählte Themenstellungen

von Hartmut Menzer; Ingo Althöfer

Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
64,95
unlock your imagination with the narrative of numbers

von Dave Kester; Mikaela Ashcroft

Buch | Softcover (2024)
Advantage Media Group (Verlag)
19,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber

von Klaus Scharff

Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
20,00