03033nam 2200493 450 99646654620331620210406134004.03-030-63253-910.1007/978-3-030-63253-3(CKB)4100000011763173(DE-He213)978-3-030-63253-3(MiAaPQ)EBC6478483(PPN)25386092X(EXLCZ)99410000001176317320210406d2021 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierDifferential geometry, differential equations, and mathematical physics the Wisła 19 Summer School /Maria Ulan, Eivind Schneider, editors1st ed. 2021.Cham, Switzerland :Birkhäuser,[2021]©20211 online resource (XIV, 231 p. 29 illus., 20 illus. in color.) Tutorials, schools, and workshops in the mathematical sciences3-030-63252-0 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.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 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.Tutorials, schools, and workshops in the mathematical sciences.Geometry, DifferentialCongressesDifferential equationsCongressesGeometry, DifferentialDifferential equations516.36Ulan MariaSchneider EivindMiAaPQMiAaPQMiAaPQBOOK996466546203316Differential geometry, differential equations, and mathematical physics2831967UNISA