Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) by Claude Mitschi (PDF)

0

 

Ebook Info

  • Published: 2016
  • Number of pages: 319 pages
  • Format: PDF
  • File Size: 3.99 MB
  • Authors: Claude Mitschi

Description

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Download

Keywords

Free Download Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) in PDF format
Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) PDF Free Download
Download Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) 2016 PDF Free
Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) 2016 PDF Free Download
Download Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153) PDF
Free Download Ebook Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics Book 2153)

Previous articlePerspectives in Riemannian Geometry (Crm Proceedings & Lecture Notes, V. 40) (Crm Proceedings and Lecture Notes) by Vestislav Apostolov (PDF)
Next articleDynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 19: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 (Volume 1784) by Hakan Eliasson (PDF)