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Differential geometry, differential ...

Ulan, Maria.

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Differential geometry, differential equations, and mathematical physics = the Wisla 19 Summer School /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential geometry, differential equations, and mathematical physics/ edited by Maria Ulan, Eivind Schneider.
其他題名:	the Wisla 19 Summer School /
其他作者:	Ulan, Maria.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xiv, 231 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Geometry, Differential - Congresses. -
電子資源:	https://doi.org/10.1007/978-3-030-63253-3
ISBN:	9783030632533

Differential geometry, differential equations, and mathematical physics = the Wisla 19 Summer School /
Differential geometry, differential equations, and mathematical physicsthe Wisla 19 Summer School /[electronic resource] :edited by Maria Ulan, Eivind Schneider. - Cham :Springer International Publishing :2021. - xiv, 231 p. :ill., digital ;24 cm. - Tutorials, schools, and workshops in the mathematical sciences,2522-0969. - Tutorials, schools, and workshops in the mathematical sciences..

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 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.

ISBN: 9783030632533

Standard No.: 10.1007/978-3-030-63253-3doiSubjects--Topical Terms:

560938
Geometry, Differential
--Congresses.

LC Class. No.: QC20.7.D52 / D54 2021

Dewey Class. No.: 530.15

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520 $a 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.
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