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Kniha Groups, Invariants, Integrals, and Mathematical Physics Maria Ulan

Groups, Invariants, Integrals, and Mathematical Physics

The Wisla 2020-21 Winter School and Workshop

Autor: Maria Ulan, Stanislav Hronek
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
129.65 €
This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariant...

Informácie o knihe

Autor
Maria Ulan, Stanislav Hronek
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2023
Stránok
230
EAN
9783031256653
Enbook ID
42567922
Vydavateľ
Springer, Berlin
Hmotnosť
553
Rozmery
155 x 235

Kompletný popis

This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics. The lectures were dedicated to differential invariants - with a focus on Lie groups, pseudogroups, and their orbit spaces - and Poisson structures in algebra and geometry and are included here as lecture notes comprising the first two chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and category theory. Specific topics covered include: The multisymplectic and variational nature of Monge-Ampère equations in dimension four Integrability of fifth-order equations admitting a Lie symmetry algebra Applications of the van Kampen theorem for groupoids to computation of homotopy types of striped surfaces A geometric framework to compare classical systems of PDEs in the category of smooth manifolds Groups, Invariants, Integrals, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry and category theory is assumed.

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