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

Groups, Invariants, Integrals, and Mathematical Physics

The Wisla 2020-21 Winter School and Workshop

Автор: Maria Ulan, Stanislav Hronek
Език: Английски език
Корици: С твърди корици
Издател: Springer, Berlin
Наличност: Външен склад
Изпращаме след 10-13 дни
136.95 € 267.85 лв
This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariant...

Информация за книгата

Автор
Maria Ulan, Stanislav Hronek
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2023
страници
230
EAN
9783031256653
Enbook ID
42567922
Издател
Springer, Berlin
Теглоt
553
Размери
155 x 235

Пълно описание

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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