Elliptic tales
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Ash, Avner - Gross, Robert

Elliptic tales

Abstract: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profoundmay appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.


Titolo e contributi: Elliptic tales : curves, counting and number theory / Avner Ash, Robert Gross

Pubblicazione: Princeton ; Oxford : Princeton university press, 2012

Descrizione fisica: XVII, 253 p. ; 24 cm

EAN: 9780691163505

Data:2012

Lingua: Inglese (lingua del testo, colonna sonora, ecc.)

Paese: Stati Uniti d'America

Nomi:

Soggetti:

Classi: 515 ANALISI MATEMATICA (14)

Dati generali (100)
  • Tipo di data: monografia edita in un solo anno
  • Data di pubblicazione: 2012
  • Target: adulti, generale
Testi (105)
  • Genere: saggi

Sono presenti 1 copie, di cui 1 in prestito.

Biblioteca Collocazione Inventario Stato Prestabilità Rientra
LICEO "GALILEO GALILEI" – Biblioteca "Peppino Impastato" 515 ASH GAL-6539 In prestito 23/12/2019
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