Differential Geometry, Differential Equations, and Mathematical Physics
The Wisla 19 Summer School
Springer International Publishing
ISBN 978-3-030-63253-3
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Bibliografische Daten
eBook. PDF
2021
XIV, 231 p. 29 illus., 20 illus. in color..
In englischer Sprache
Umfang: 231 S.
Verlag: Springer International Publishing
ISBN: 978-3-030-63253-3
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Tutorials, Schools, and Workshops in the Mathematical Sciences
Produktbeschreibung
This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include:
- Parabolic geometry
- Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance
- Darcy and Euler flows of real gases
- Differential invariants for fluid and gas flow
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