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One Semester of Elliptic Curves

Ekedahl, Torsten,

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One Semester of Elliptic Curves

Record Type:	Electronic resources : Monograph/item
Title/Author:	One Semester of Elliptic Curves/ Torsten Ekedahl
Author:	Ekedahl, Torsten,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2006,
Description:	1 online resource (138 pages)
Subject:	Algebraic geometry -
Online resource:	https://doi.org/10.4171/015
Online resource:	https://www.ems-ph.org/img/books/ekedahl_mini.gif
ISBN:	9783037195154

One Semester of Elliptic Curves
Ekedahl, Torsten,

One Semester of Elliptic Curves[electronic resource] /Torsten Ekedahl - Zuerich, Switzerland :European Mathematical Society Publishing House,2006 - 1 online resource (138 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

These lecture notes grew out of a one semester introductory course on elliptic curves given to an audience of computer science and mathematics students, and assume only minimal background knowledge. After having covered basic analytic and algebraic aspects, putting special emphasis on explaining the interplay between algebraic and analytic formulas, they go on to some more specialized topics. These include the j-function from an algebraic and analytic perspective, a discussion of elliptic curves over finite fields, derivation of recursion formulas for the division polynomials, the algebraic structure of the torsion points of an elliptic curve, complex multiplication, and modular forms. In an effort to motivate basic problems the book starts very slowly, but considers some aspects such as modular forms of higher level which are not usually treated. It presents more than 100 exercises and a Mathematica™ notebook that treats a number of calculations involving elliptic curves. The book is aimed at students of mathematics with a general interest in elliptic curves but also at students of computer science interested in their cryptographic aspects.

ISBN: 9783037195154

Standard No.: 10.4171/015doiSubjects--Topical Terms:

3480846
Algebraic geometry

One Semester of Elliptic Curves
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