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Differential Geometry, Differential Equations, and Mathematical Physics: The Wisla 19 Summer School
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Differential Geometry, Differential Equations, and Mathematical Physics: The Wisla 19 Summer School

Differential Geometry, Differential Equations, and Mathematical Physics: The Wisla 19 Summer School

Maria / Schneider Ulan

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231 pages, parution le 12/02/2021
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Résumé

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.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
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.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.

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Éditeur(s) Springer
Auteur(s) Maria / Schneider Ulan
Parution 12/02/2021
Nb. de pages 231
EAN13 9783030632526

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