Lectures on Differential Galois Theory is popular PDF and ePub book, written by Andy R. Magid in 1994, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on Differential Galois Theory can be Read Online from any device for your convenience.
Lectures on Differential Galois Theory Book PDF Summary
Differential Galois theory studies solutions of differential equations over a differential base field. In much the same way that ordinary Galois theory is the theory of field extensions generated by solutions of (one variable) polynomial equations, differential Galois theory looks at the nature of the differential field extension generated by the solutions of differential equations. An additional feature is that the corresponding differential Galois groups (of automorphisms of the extension fixing the base and commuting with the derivation) are algebraic groups. This book deals with the differential Galois theory of linear homogeneous differential equations, whose differential Galois groups are algebraic matrix groups.In addition to providing a convenient path to Galois theory, this approach also leads to the constructive solution of the inverse problem of differential Galois theory for various classes of algebraic groups. Providing a self-contained development and many explicit examples, this book provides a unique approach to differential Galois theory and is suitable as a textbook at the advanced graduate level.
Detail Book of Lectures on Differential Galois Theory PDF
- Author : Andy R. Magid
- Release : 28 June 1994
- Publisher : American Mathematical Soc.
- ISBN : 9780821870044
- Genre : Mathematics
- Total Page : 105 pages
- Language : English
- PDF File Size : 20,6 Mb
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