Differential geometry, differential equations, and mathematical physics : the Wisła 19 Summer School / Maria Ulan, Eivind Schneider, editors.
2021
QC20.7.D52 D54 2021
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Title
Differential geometry, differential equations, and mathematical physics : the Wisła 19 Summer School / Maria Ulan, Eivind Schneider, editors.
ISBN
9783030632533 (electronic bk.)
3030632539 (electronic bk.)
9783030632526
3030632539 (electronic bk.)
9783030632526
Published
Cham : Birkhäuser, [2021]
Language
English
Description
1 online resource (240 pages)
Item Number
10.1007/978-3-030-63253-3 doi
Call Number
QC20.7.D52 D54 2021
Dewey Decimal Classification
530.15
Summary
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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Description based on print version record.
Added Author
Ulan, Maria, editor.
Schneider, Eivind, editor.
Schneider, Eivind, editor.
Added Meeting Name
Wisła Summer School (2019 : Wisła, Poland)
Series
Tutorials, schools, and workshops in the mathematical sciences.
Available in Other Form
Differential Geometry, Differential Equations, and Mathematical Physics.
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Table of Contents
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.
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.