Groups, Invariants, Integrals, and Mathematical Physics
Language: English
Published by Springer Nature Switzerland, 2023
- Hardcover
- New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Features lecture notes, surveys, and original research, ideal for pedagogical use independently or in the classroomCovers a wide variety of topics, using both theoretical and applied approachesProvides an accessible introduction to topics s.
Seller Inventory # 779406815
- Title
- Groups, Invariants, Integrals, and Mathematical Physics
- Publisher
- Springer Nature Switzerland
- Publication year
- 2023
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 3031256654
- ISBN 13
- 9783031256653
This volume presents lectures given at the Wisła 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 systemsof 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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
- 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.
"About the title" may belong to another edition of this title.
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