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Beschreibung
Like its bestselling predecessor, this book develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. This edition now includes alternative coordinate systems and related computational issues, a more elementary treatment of the Tate???Lichtenbaum pairing, additional elliptic curve cryptosystems, and Doud??'s analytic method for computing torsion on elliptic curves over Q. It also contains new chapters on isogenies and hyperelliptic curves as well as discusses how to compute elliptic curves in some popular computer algebra systems. Basic exercises appear at the end of each chapter, with selected answers in an appendix.
Like its bestselling predecessor, this book develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. This edition now includes alternative coordinate systems and related computational issues, a more elementary treatment of the Tate???Lichtenbaum pairing, additional elliptic curve cryptosystems, and Doud??'s analytic method for computing torsion on elliptic curves over Q. It also contains new chapters on isogenies and hyperelliptic curves as well as discusses how to compute elliptic curves in some popular computer algebra systems. Basic exercises appear at the end of each chapter, with selected answers in an appendix.
Über den Autor
Lawrence C. Washington
Inhaltsverzeichnis
Introduction. The Basic Theory. Torsion Points. Elliptic Curves over Finite Fields. The Discrete Logarithm Problem. Elliptic Curve Cryptography. Other Applications. Elliptic Curves over Q. Elliptic Curves over C. Complex Multiplication. Divisors. Isogenies. Hyperelliptic Curves. Zeta Functions. Fermat's Last Theorem. Appendices. References. Index.
Details
Erscheinungsjahr: | 2008 |
---|---|
Genre: | Importe, Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781420071467 |
ISBN-10: | 1420071467 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Washington, Lawrence C. |
Auflage: | 2. Auflage |
Hersteller: | Chapman and Hall/CRC |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 240 x 161 x 33 mm |
Von/Mit: | Lawrence C. Washington |
Erscheinungsdatum: | 03.04.2008 |
Gewicht: | 0,957 kg |
Über den Autor
Lawrence C. Washington
Inhaltsverzeichnis
Introduction. The Basic Theory. Torsion Points. Elliptic Curves over Finite Fields. The Discrete Logarithm Problem. Elliptic Curve Cryptography. Other Applications. Elliptic Curves over Q. Elliptic Curves over C. Complex Multiplication. Divisors. Isogenies. Hyperelliptic Curves. Zeta Functions. Fermat's Last Theorem. Appendices. References. Index.
Details
Erscheinungsjahr: | 2008 |
---|---|
Genre: | Importe, Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781420071467 |
ISBN-10: | 1420071467 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Washington, Lawrence C. |
Auflage: | 2. Auflage |
Hersteller: | Chapman and Hall/CRC |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 240 x 161 x 33 mm |
Von/Mit: | Lawrence C. Washington |
Erscheinungsdatum: | 03.04.2008 |
Gewicht: | 0,957 kg |
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