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Differential Geometry, Differential Equations, and Mathematical Physics: The Wisła 19 Summer School: Tutorials, Schools, and Workshops in the Mathematical Sciences

Editat de Maria Ulan, Eivind Schneider
en Limba Engleză Paperback – 13 feb 2022
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.
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Specificații

ISBN-13: 9783030632557
ISBN-10: 3030632555
Pagini: 231
Ilustrații: XIV, 231 p. 29 illus., 20 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.39 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Tutorials, Schools, and Workshops in the Mathematical Sciences

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Provides a concise and accessible introduction to a selection of topics at the intersection of differential geometry, differential equations, and mathematical physics Features lecture notes, surveys, and original research, ideal for pedagogical use either independently or in the classroom Covers a wide variety of topics, using both theoretical and applied approaches