Overview
- Provides a concise and accessible introduction to a selection of topics at the intersection of differential geometry, differential equations, and mathematical physics
- Features lecture notes, surveys, and original research, ideal for pedagogical use either independently or in the classroom
- Covers a wide variety of topics, using both theoretical and applied approaches
Part of the book series: Tutorials, Schools, and Workshops in the Mathematical Sciences (TSWMS)
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Table of contents (6 chapters)
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Front Matter
Keywords
- Differential geometry math physics
- Differential geometry fluid dynamics
- Differential geometry thermodynamics
- Differential equations geometry
- Differential equations math physics
- Wisla summer school
- Poisson and symplectic structures
- Tractor calculus
- Finite dimensional dynamics
- Transformation groups
- Parabolic geometry
- Darcy Euler flows
- Differential invariants fluid flow
- Dirichlet filtration problem
- Finite dimensional dynamics
- Cartan geometries
- partial differential equations
- fluid- and aerodynamics
About this book
- 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
Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.
Editors and Affiliations
Bibliographic Information
Book Title: Differential Geometry, Differential Equations, and Mathematical Physics
Book Subtitle: The Wisła 19 Summer School
Editors: Maria Ulan, Eivind Schneider
Series Title: Tutorials, Schools, and Workshops in the Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-030-63253-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Baltic Institute of Mathematics 2021
Hardcover ISBN: 978-3-030-63252-6Published: 13 February 2021
Softcover ISBN: 978-3-030-63255-7Published: 13 February 2022
eBook ISBN: 978-3-030-63253-3Published: 12 February 2021
Series ISSN: 2522-0969
Series E-ISSN: 2522-0977
Edition Number: 1
Number of Pages: XIV, 231
Number of Illustrations: 9 b/w illustrations, 20 illustrations in colour
Topics: Partial Differential Equations, Differential Geometry, Classical Mechanics, Fluid- and Aerodynamics, Quantum Field Theories, String Theory