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Differential geometry, differential equations, and mathematical physics : the Wisła 19 Summer School / Maria Ulan, Eivind Schneider, editors.

9783030632533 (electronic bk.)
3030632539 (electronic bk.)
9783030632526

Cham : Birkhäuser, [2021]

English

1 online resource (240 pages)

10.1007/978-3-030-63253-3 doi

QC20.7.D52 D54 2021

530.15

This volume presents lectures given at the Wisa 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.

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Tutorials, schools, and workshops in the mathematical sciences.

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