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＜電子ブック＞
Differential Geometry, Differential Equations, and Mathematical Physics : The Wisła 19 Summer School / edited by Maria Ulan, Eivind Schneider
(Tutorials, Schools, and Workshops in the Mathematical Sciences. ISSN:25220977)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2021
本文言語	英語
大きさ	XIV, 231 p. 29 illus., 20 illus. in color : online resource
著者標目	Ulan, Maria editor Schneider, Eivind editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Geometry, Differential LCSH:Mechanics LCSH:Continuum mechanics LCSH:Elementary particles (Physics) LCSH:Quantum field theory FREE:Differential Equations FREE:Differential Geometry FREE:Classical Mechanics FREE:Continuum Mechanics FREE:Elementary Particles, Quantum Field Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-63253-3

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