AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Algebraic Groups and Differential Galois Theory
Teresa Crespo, Universitat de Barcelona, Spain, and Zbigniew Hajto, Jagiellonian University, Kraków, Poland

Graduate Studies in Mathematics
2011; 225 pp; hardcover
Volume: 122
ISBN-10: 0-8218-5318-X
ISBN-13: 978-0-8218-5318-4
List Price: US$56
Member Price: US$44.80
Order Code: GSM/122
[Add Item]

Request Permissions

See also:

Lectures on Differential Galois Theory - Andy R Magid

Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory.

This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book.

This book is suitable for a graduate course in differential Galois theory. The last chapter contains several suggestions for further reading encouraging the reader to enter more deeply into different topics of differential Galois theory or related fields.

Request an examination or desk copy.


Graduate students and research mathematicians interested in algebraic methods in differential equations, differential Galois theory, and dynamical systems.


"This well-crafted book certainly serves its intended purpose well: it is a very good self-contained introduction to Picard-Vessiot theory. ... It is a very nice book indeed."

-- MAA Reviews

Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia