**Algorithms for Modular Elliptic Curves**

by J. E. Cremona

**Publisher**: Cambridge University Press 1992**ISBN/ASIN**: 0521418135**ISBN-13**: 9780521418133**Number of pages**: 351

**Description**:

Elliptic curves are of central importance in computational number theory with numerous applications in such areas as cryptography primality testing and factorization. This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves complete with computer implementation. In the first part the author describes in detail the construction of modular elliptic curves giving an explicit algorithm for their computation. Then a collection of algorithms for the arithmetic of elliptic curves is presented, some of these have not appeared in book form before. Finally an extensive set of tables is provided giving the results of the author's implementations of the algorithms.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Pluckings from the tree of Smarandache: Sequences and functions**

by

**Charles Ashbacher**-

**American Research Press**

The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.

(

**17874**views)

**Predicative Arithmetic**

by

**Edward Nelson**-

**Princeton Univ Pr**

The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.

(

**18089**views)

**On Some of Smarandache's Problems**

by

**Krassimir Atanassov**-

**Erhus Univ Pr**

A collection of 27 Smarandache's problems which the autor solved by 1999. 22 problems are related to different sequences, 4 problems are proved, modifications of two problems are formulated, and counterexamples to two of the problems are constructed.

(

**12915**views)

**Essays on the Theory of Numbers**

by

**Richard Dedekind**-

**The Open Court Publishing**

This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.

(

**14181**views)