Visit our Christmas Gift Finder
Divergent Series, Summability and Resurgence I: Monodromy and Resurgence - Lecture Notes in Mathematics 2153 (Paperback)
  • Divergent Series, Summability and Resurgence I: Monodromy and Resurgence - Lecture Notes in Mathematics 2153 (Paperback)
zoom

Divergent Series, Summability and Resurgence I: Monodromy and Resurgence - Lecture Notes in Mathematics 2153 (Paperback)

(author), (author)
£44.99
Paperback 298 Pages / Published: 28/08/2016
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Springer International Publishing AG
ISBN: 9783319287355
Number of pages: 298
Weight: 4861 g
Dimensions: 235 x 155 x 17 mm
Edition: 1st ed. 2016


MEDIA REVIEWS
"The book is the first of three independent books whose aim is to describe methods of the analytic theory of differential equations such as monodromy, analytic continuation, resurgence, summability etc. It is aimed at graduate students, mathematicians and theoretical physicists." (Vladimir P. Kostov, zbMATH 1355.34003, 2017)

You may also be interested in...

Calculus
Added to basket
£41.99
Hardback
The Cartoon Guide to Calculus
Added to basket
Schaum's Outline of Calculus
Added to basket
Maths for Chemistry
Added to basket
£29.99
Paperback
How to Think About Analysis
Added to basket
Maths for Science
Added to basket
£35.99
Paperback
Ordinary Differential Equations
Added to basket
Fundamentals of Mathematical Analysis
Added to basket
Calculus For Dummies
Added to basket
£15.99
Paperback
Differential Equations Demystified
Added to basket
A Brief Guide to the Great Equations
Added to basket
Thomas' Calculus in SI Units
Added to basket
Real Analysis
Added to basket
£24.95
Paperback

Please sign in to write a review

Your review has been submitted successfully.