Graduate Texts in Mathematics 106 - The Arithmetic of Elliptic Curves Ebook Tooltip Ebooks kunnen worden gelezen op uw computer en op daarvoor geschikte e-readers.
Afbeeldingen
Artikel vergelijken
- Engels
- E-book
- 9780387094946
- 20 april 2009
- 522 pagina's
- Adobe ePub
Samenvatting
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields, the complex numbers, local fields, and global fields. Included are proofs of the Mordell–Weil theorem giving finite generation of the group of rational points and Siegel's theorem on finiteness of integral points.
For this second edition of The Arithmetic of Elliptic Curves, there is a new chapter entitled Algorithmic Aspects of Elliptic Curves, with an emphasis on algorithms over finite fields which have cryptographic applications. These include Lenstra's factorization algorithm, Schoof's point counting algorithm, Miller's algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro's conjecture and ABC, as well as expanded and updated accounts of recent developments and numerous new exercises.
The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.
Productspecificaties
Inhoud
- Taal
- en
- Bindwijze
- E-book
- Oorspronkelijke releasedatum
- 20 april 2009
- Aantal pagina's
- 522
- Ebook Formaat
- Adobe ePub
- Illustraties
- Met illustraties
Betrokkenen
- Hoofdauteur
- Joseph H. Silverman
- Hoofduitgeverij
- Springer
Lees mogelijkheden
- Lees dit ebook op
- Android (smartphone en tablet) | Kobo e-reader | Desktop (Mac en Windows) | iOS (smartphone en tablet) | Windows (smartphone en tablet)
Overige kenmerken
- Editie
- 2
- Studieboek
- Ja
- Verpakking hoogte
- 37 mm
EAN
- EAN
- 9780387094946
Je vindt dit artikel in
- Categorieën
- Taal
- Engels
- Beschikbaarheid
- Leverbaar
- Boek, ebook of luisterboek?
- Ebook
- Studieboek of algemeen
- Studieboeken
Kies gewenste uitvoering
Prijsinformatie en bestellen
De prijs van dit product is 48 euro en 99 cent.- E-book is direct beschikbaar na aankoop
- E-books lezen is voordelig
- Dag en nacht klantenservice
- Veilig betalen
Rapporteer dit artikel
Je wilt melding doen van illegale inhoud over dit artikel:
- Ik wil melding doen als klant
- Ik wil melding doen als autoriteit of trusted flagger
- Ik wil melding doen als partner
- Ik wil melding doen als merkhouder
Geen klant, autoriteit, trusted flagger, merkhouder of partner? Gebruik dan onderstaande link om melding te doen.