Diophantine Equations Over Function Fields
Normal Price: $65.95
Your Price: $59.36 AUD, inc. GST
Shipping: $7.95 per order
You Save: $6.59! (10% off normal price)
Plus...earn $2.97 in Boomerang Bucks
Availability: Available to Backorder, No Due Date for Supply
Diophantine Equations Over Function Fields by R. C. Mason
Book DescriptionDiophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations. The latter is the purpose and achievement of this volume: algorithms are provided for the complete resolution of various families of equations, such as those of Thue, hyperelliptic and genus one type. The results are achieved by means of an original fundamental inequality, first announced by the author in 1982. Several specific examples are included as illustrations of the general method and as a testimony to its efficiency. Furthermore, bounds are obtained on the solutions which improve on those obtained previously by other means. Extending the equality to a different setting, namely that of positive characteristic, enables the various families of equations to be resolved in that circumstance. Finally, by applying the inequality in a different manner, simple bounds are determined on their solutions in rational functions of the general superelliptic equation. This book represents a self-contained account of a new approach to the subject, and one which plainly has not reached the full extent of its application. It also provides a more direct on the problems than any previous book. Little expert knowledge is required to follow the theory presented, and it will appeal to professional mathematicians, research students and the enthusiastic undergraduate.
Buy Diophantine Equations Over Function Fields book by R. C. Mason from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780521269834
(228mm x 152mm x 8mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Apr-1984
Country of Publication: United Kingdom
» Have you read this book? We'd like to know what you think about it - write a review about Diophantine Equations Over Function Fields book by R. C. Mason and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Bestselling Books: Our Current Bestsellers | Australia's Hottest 1000 Books | Bestselling Fiction | Bestselling Crime Mysteries and Thrillers | Bestselling Non Fiction Books | Bestselling Sport Books | Bestselling Gardening and Handicrafts Books | Bestselling Biographies | Bestselling Food and Drink | Bestselling History | Bestselling Travel Books | Bestselling School Textbooks & Study Guides | Bestselling Children's General Non-Fiction | Bestselling Young Adult Fiction | Bestselling Children's Fiction | Bestselling Picture Books | Top 100 US Bestsellers
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
Address: Boomerang Books, 878 Military Road, Mosman Junction, NSW, 2088
© 2003-2017. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687
For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.