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Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics)
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Description for Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics)
Hardcover. Series: Graduate Studies in Mathematics. Num Pages: 225 pages, illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 258 x 185 x 17. Weight in Grams: 586.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
American Mathematical Society
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
225
Place of Publication
Providence, United States
ISBN
9780821853184
SKU
V9780821853184
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Unknown
Teresa Crespo, Universitat de Barcelona, Barcelona, Spain Zbigniew Hajto, Jagiellonian University, Kraków, Poland
Reviews for Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics)
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