Differential Geometry, Differential Equations, and Mathematical Physics
The Wisla 19 Summer School
1st Edition
Published on 12. February 2021
XIV, 231 pages
978-3-030-63253-3 (ISBN)
Description
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
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
XIV, 231 p. 29 illus., 20 illus. in color.
File size
3,42 MB
ISBN-13
978-3-030-63253-3 (9783030632533)
DOI
10.1007/978-3-030-63253-3
Schweitzer Classification
Other editions
Additional editions
Maria Ulan | Eivind Schneider
Differential Geometry, Differential Equations, and Mathematical Physics
The Wisla 19 Summer School
Book
02/2021
1st Edition
Birkhäuser
€106.99
Shipment within 7-9 days
Content
Poisson and Symplectic Structures, Hamiltonian Action, Momentum, and Reduction.- Notes on Tractor Calculi.- Symmetries and Integrals.- Finite Dimensional Dynamics of Evolutionary Equations with Maple.- Critical Phenomena in Darcy and Euler Flows of Real Gases.- Differential Invariants for Flows of Fluids and Gases.
