Computational Aspects of Algebraic Curves

Tanush Shaska

ISBN 10: 9812564594 / ISBN 13: 9789812564597

Published by World Scientific Publishing Company Aug 2005, 2005

About this Item

Neuware - The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more. This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations on some Riemann--Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups of polynomials, among other topics.

Seller Inventory # 9789812564597

Bibliographic Details

• Title: Computational Aspects of Algebraic Curves
• Publisher: World Scientific Publishing Company Aug 2005
• Publication Date: 2005
• Language: English
• ISBN 10: 9812564594
• ISBN 13: 9789812564597
• Binding: Buch
• Condition: Neu
• Dimensions: 234W x 174H x 22D millimeters 234 millimeters width by 174 millimeters height by 22 millimeters depth
• Weight: 535 grams

About this title

Synopsis

The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more.This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations on some Riemann-Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups of polynomials, among other topics.