Lectures on Differential Galois Theory (University Lecture Series) - Andy R. Magid, Andy R Magid (1994)
ISBN 0821870041
Subject Galois theory; Differential equations
Publisher American Mathematical Society
Publication Date 11/7/1994
Format Paperback (246 x 173 mm)
Language eng
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.
Personal Details
Collection Status In Collection
Index 1757
Read It Yes
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Product Details
LoC Classification QA174.2.M34 1994
Dewey 512/.3
Cover Price $22.00
No. of Pages 105