E-Book, Englisch, 231 Seiten
Reihe: Tutorials, Schools, and Workshops in the Mathematical Sciences
Ulan / Schneider Differential Geometry, Differential Equations, and Mathematical Physics
1. Auflage 2021
ISBN: 978-3-030-63253-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
The Wisla 19 Summer School
E-Book, Englisch, 231 Seiten
Reihe: Tutorials, Schools, and Workshops in the Mathematical Sciences
ISBN: 978-3-030-63253-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
This volume presents lectures given at the Wis?a 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wis?a, 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 geometryGeometric methods for solving PDEs in physics, mathematical biology, and mathematical financeDarcy and Euler flows of real gasesDifferential invariants for fluid and gas flowDifferential 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.
