Visit our Christmas Gift Finder
Click & Collect from 2 Hours
Last Christmas Delivery Dates
Free UK Standard Delivery on orders £20 and over Order in time for Christmas 18th December 2nd Class | 19th December 1st Class Free Click & Collect to shops From 2 hours of your order*
Selected Works of Ellis Kolchin with Commentary - Collected Works (Hardback)
  • Selected Works of Ellis Kolchin with Commentary - Collected Works (Hardback)
zoom

Selected Works of Ellis Kolchin with Commentary - Collected Works (Hardback)

(author), (volume editor), (editor), (editor)
£144.00
Hardback 639 Pages / Published: 28/02/1999
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers - in themselves constituting a history of the subject - is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden.Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a 'new geometry' that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat.Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.

Publisher: American Mathematical Society
ISBN: 9780821805428
Number of pages: 639
Weight: 1340 g

You may also be interested in...

Maths for Science
Added to basket
£35.99
Paperback
Algebra I Essentials For Dummies
Added to basket
Book of Abstract Algebra
Added to basket
Linear Algebra: Concepts and Methods
Added to basket
Linear Algebra
Added to basket
£31.49
Paperback
Linear Algebra Done Right
Added to basket
Edexcel Award in Algebra Level 3 Workbook
Added to basket
Maths for Chemistry
Added to basket
£29.99
Paperback
The Cartoon Guide to Algebra
Added to basket
Algebra II For Dummies
Added to basket
Galois Theory
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.