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One Semester of Elliptic Curves
 
Torsten Ekedahl University of Stockholm, Stockholm, Sweden
A publication of European Mathematical Society
Front Cover for One Semester of Elliptic Curves
Available Formats:
Softcover ISBN: 978-3-03719-015-9
Product Code: EMSSERLEC/2
140 pp 
List Price: $38.00
AMS Member Price: $30.40
Front Cover for One Semester of Elliptic Curves
Click above image for expanded view
One Semester of Elliptic Curves
Torsten Ekedahl University of Stockholm, Stockholm, Sweden
A publication of European Mathematical Society
Available Formats:
Softcover ISBN:  978-3-03719-015-9
Product Code:  EMSSERLEC/2
140 pp 
List Price: $38.00
AMS Member Price: $30.40
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 22006
    MSC: Primary 14;

    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.

    Readership

    Undergraduate and graduate students interested in elliptic curves.

  • Request Review Copy
Volume: 22006
MSC: Primary 14;

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.

Readership

Undergraduate and graduate students interested in elliptic curves.

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