D modules and Microlocal Calculus is popular PDF and ePub book, written by Masaki Kashiwara in 2003, 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, D modules and Microlocal Calculus can be Read Online from any device for your convenience.
D modules and Microlocal Calculus Book PDF Summary
Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory. Here, there is an emphasis on $b$-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara. A hot topic from the mid '70s to mid '80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public.
Detail Book of D modules and Microlocal Calculus PDF
- Author : Masaki Kashiwara
- Release : 02 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821827669
- Genre : Mathematics
- Total Page : 276 pages
- Language : English
- PDF File Size : 7,7 Mb
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