BIBLIO is the largest independent book marketplace in the world, with over 100 million books.

Skip to content

Algebraic Function Fields and Codes

Algebraic Function Fields and Codes

Algebraic Function Fields and Codes Paperback / softback - 2010

by Henning Stichtenoth

Add to wish list
  • New
  • Paperback
New

Description

Paperback / softback. New. This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.
Ask the seller a question Add to wish list
A$133.10
A$19.20 Delivery to USA
Standard delivery: 14 to 21 days
More delivery options
Ships from The Saint Bookstore (Merseyside, United Kingdom)
Biblio Top Seller
The BIBLIO Guarantee

Details

  • Title Algebraic Function Fields and Codes
  • Author Henning Stichtenoth
  • Binding Paperback
  • Edition Softcover reprin
  • Condition New
  • Pages 360
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2010-11-18
  • Features Bibliography
  • Bookseller's Inventory # B9783642095566
  • ISBN 9783642095566 / 3642095569
  • Weight 1.16 lbs (0.53 kg)
  • Dimensions 9.21 x 6.14 x 0.78 in (23.39 x 15.60 x 1.98 cm)
  • Category Computers - General Information
  • Dewey Decimal Code 512.74
  • Quantity available 10

About The Saint Bookstore Merseyside, United Kingdom

Specialising in: Academic & Scholarly, Hard To Find Titles, Textbooks
Biblio member since 2018

The Saint Bookstore specialises in hard to find titles & also offers delivery worldwide for reasonable rates.

Terms of Sale: Refunds or Returns: A full refund of the price paid will be given if returned within 30 days in undamaged condition. If the product is faulty, we may send a replacement.

Browse books from The Saint Bookstore

Reader reviews for Algebraic Function Fields and Codes

Write a review for this book

There are no reviews for this book yet. Be the first to write a review!

Your review will be anonymous unless you login or create an account first.

Overall rating
Remember: You’re rating the book as a work, not the seller or the condition of the specific copy you purchased!

Important Terms and Guidelines

  • Please focus on the book’s content and context. Also, add any personal comments as to how you enjoyed the book. Substantiate your likes and dislikes. You may make comparisons to other books.
  • Reviews must be at least 140 characters in length.
  • Please do not reveal critical plot elements.
  • This is not a help line. Contact customer support if you need help.
Your review must not include:
  • Obscenities, discriminatory language, or other insulting language not suitable for public domain
  • Advertisements, “spam” content, or references to other products, offers or websites.
  • Email addresses, URLs, phone numbers, physical addresses or other contact information.
  • Overly critical comments about other reviews or reviewers
  • Time-sensitive material (i.e. promotional tours, seminars, lectures, etc.)
  • Availability, price, or alternative ordering/shipping information

From the publisher

15 years after the ?rst printing of Algebraic Function Fields and Codes, the mathematics editors of Springer Verlag encouraged me to revise and extend the book. Besides numerous minor corrections and amendments, the second edition di?ers from the ?rst one in two respects. Firstly I have included a series of exercises at the end of each chapter. Some of these exercises are fairly easy and should help the reader to understand the basic concepts, others are more advanced and cover additional material. Secondly a new chapter titled "Asymptotic Bounds for the Number of Rational Places" has been added. This chapter contains a detailed presentation of the asymptotic theory of function ?elds over ?nite ?elds, including the explicit construction of some asymptotically good and optimal towers. Based on these towers, a complete and self-contained proof of the Tsfasman-Vladut-Zink Theorem is given. This theorem is perhaps the most beautiful application of function ?elds to coding theory. The codes which are constructed from algebraic function ?elds were ?rst introduced by V. D. Goppa. Accordingly I referred to them in the ?rst edition as geometric Goppa codes. Since this terminology has not generally been - cepted in the literature, I now use the more common term algebraic geometry codes or AG codes. I would like to thank Alp Bassa, Arnaldo Garcia, Cem Guneri, ] Sevan Harput and Alev Topuzo? glu for their help in preparing the second edition.

From the rear cover

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields.

This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text.

This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.

Please wait a moment while we load the requested page.

tracking-