A Primer of Algebraic D-Modules
A Primer of Algebraic D-Modules by S. C. Coutinho, published by Cambridge University Press on September 7, 1995, offers a comprehensive introduction to the theory of D-modules, which merges concepts from algebra and differential equations. This 207-page book is written in English and is designed for beginning graduate students, presenting the subject matter in an accessible manner while focusing on the role of the Weyl algebra.
Readers will find that this book covers the fundamental aspects of D-modules and their applications, including connections to singularity theory and representation theory. The text is structured to be self-contained, requiring very few prerequisites, and includes exercises at the end of each chapter to reinforce learning. Ample references to more advanced literature are provided, making this an informative resource for those new to the field of mathematics, particularly in the areas of algebra and abstract science.
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The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.
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