Téléchargez le livre : The Monodromy Group

The Monodromy Group

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Éditeur :

Birkhäuser


Paru le : 2025-05-10

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168,79 €
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Description

This book presents the monodromy group, underlining the unifying role it plays in a variety of theories and mathematical areas. In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations, one has the Riemann-Hilbert problem, the Stokes phenomena and the hypergeometric functions with their multidimensional generalizations. In the theory of homomorphic foliations, there appear the Ecalle-Voronin-Martinet-Ramis moduli. Moreover, there is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. 
The material is addressed to a wide audience, ranging from specialists in the theory of ordinary differential equations to algebraic geometers. Readers will quickly get introduced to modern and vital mathematical theories, such as singularity theory, analytic theory of ordinary differential equations, holomorphic foliations, Galois theory, and parts of algebraic geometry, without searching in vast literature.
This second edition has been enlarged by several sections, presenting new results appeared since the first edition.
Pages
687 pages
Collection
n.c
Parution
2025-05-10
Marque
Birkhäuser
EAN papier
9783031912696
EAN PDF
9783031912702
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
68
Taille du fichier
8540 Ko
Prix
168,79 €

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