edited by Lê Dung Tráng (ICTP, Trieste, Italy)

Table of Contents (29k)
Preface (26k)
Chapter 1: D-Modules in Dimension 1 (428k)

Mixing elementary results and advanced methods, Algebraic Approach to Differential Equations aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA).

• D-Modules in Dimension 1 (L Narváez Macarro)
• Modules Over the Weyl Algebra (F J Castro Jiménez)
• Geometry of Characteristic Varieties (D T Lê & B Teissier)
• Singular Integrals and the Stationary Phase Methods (E Delabaere)
• Hypergeometric Functions and Hyperplane Arrangements (M Jambu)
• Bernstein-Sato Polynomials and Functional Equations (M Granger)
• Differential Algebraic Groups (B Malgrange)