Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
$D$-modules and Microlocal Calculus
 
Masaki Kashiwara RIMS, Kyoto University, Kyoto, Japan
Front Cover for D-modules and Microlocal Calculus
Available Formats:
Softcover ISBN: 978-0-8218-2766-6
Product Code: MMONO/217
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Electronic ISBN: 978-1-4704-4642-0
Product Code: MMONO/217.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Front Cover for D-modules and Microlocal Calculus
Click above image for expanded view
  • Front Cover for D-modules and Microlocal Calculus
  • Back Cover for D-modules and Microlocal Calculus
$D$-modules and Microlocal Calculus
Masaki Kashiwara RIMS, Kyoto University, Kyoto, Japan
Available Formats:
Softcover ISBN:  978-0-8218-2766-6
Product Code:  MMONO/217
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Electronic ISBN:  978-1-4704-4642-0
Product Code:  MMONO/217.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 2172003; 254 pp
    MSC: Primary 32; 58;

    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.

    Readership

    Graduate students and research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • Basic properties of $D$-modules
    • Characteristic varieties
    • Construction of $D$-modules
    • Functorial properties of $D$-modules
    • Regular holonomic systems
    • $b$-functions
    • Ring of formal microdifferential operators
    • Microlocal analysis of holonomic systems
    • Microlocal calculus of $b$-functions
    • Appendix
  • Request Review Copy
  • Get Permissions
Iwanami Series in Modern Mathematics
Volume: 2172003; 254 pp
MSC: Primary 32; 58;

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.

Readership

Graduate students and research mathematicians.

  • Chapters
  • Basic properties of $D$-modules
  • Characteristic varieties
  • Construction of $D$-modules
  • Functorial properties of $D$-modules
  • Regular holonomic systems
  • $b$-functions
  • Ring of formal microdifferential operators
  • Microlocal analysis of holonomic systems
  • Microlocal calculus of $b$-functions
  • Appendix
Please select which format for which you are requesting permissions.