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Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics)
Mitschi, Claude, Sauzin, David
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Description for Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics)
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 319 pages, 5 black & white illustrations, 19 colour illustrations, biography. BIC Classification: PBG; PBKJ; PBWR. Category: (P) Professional & Vocational. Dimension: 160 x 235 x 19. Weight in Grams: 498.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
298
Place of Publication
Cham, Switzerland
ISBN
9783319287355
SKU
V9783319287355
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Divergent Series, Summability and Resurgence I: Monodromy and Resurgence (Lecture Notes in Mathematics)
“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)