Differential Geometry, Differential Equations, and Mathematical Physics
The Wisła 19 Summer School
Editors: Ulan, Maria, Schneider, Eivind (Eds.)
Free Preview- 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
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- About this book
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This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, 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
- Table of contents (6 chapters)
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Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction
Pages 1-29
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Notes on Tractor Calculi
Pages 31-72
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Symmetries and Integrals
Pages 73-121
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Finite Dimensional Dynamics of Evolutionary Equations with Maple
Pages 123-149
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Critical Phenomena in Darcy and Euler Flows of Real Gases
Pages 151-186
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Differential Geometry, Differential Equations, and Mathematical Physics
- Book Subtitle
- The Wisła 19 Summer School
- Editors
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- Maria Ulan
- Eivind Schneider
- Series Title
- Tutorials, Schools, and Workshops in the Mathematical Sciences
- Copyright
- 2021
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Baltic Institute of Mathematics
- eBook ISBN
- 978-3-030-63253-3
- DOI
- 10.1007/978-3-030-63253-3
- Hardcover ISBN
- 978-3-030-63252-6
- Series ISSN
- 2522-0969
- Edition Number
- 1
- Number of Pages
- XIV, 231
- Number of Illustrations
- 9 b/w illustrations, 20 illustrations in colour
- Topics
