Nonlinear PDEs, Their Geometry, and Applications
Proceedings of the Wisła 18 Summer School
Editors: Kycia, Radosław A., Ulan, Maria, Schneider, Eivind (Eds.)
Free Preview- Collects talks given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications in Wisla, Poland
- Presents recent research the applications of nonlinear differential equations to physics
- Provides a great starting point to understanding geometry theory of differential equations
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- About this book
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This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first part of this volume were delivered by experts in nonlinear differential equations and their applications to physics. Original research articles from members of the school comprise the second part of this volume. Much of the latter half of the volume complements the methods expounded in the first half by illustrating additional applications of geometric theory of differential equations. Various subjects are covered, providing readers a glimpse of current research. Other topics covered include thermodynamics, meteorology, and the Monge–Ampère equations.
Researchers interested in the applications of nonlinear differential equations to physics will find this volume particularly useful. A knowledge of differential geometry is recommended for the first portion of the book, as well as a familiarity with basic concepts in physics.
- Table of contents (10 chapters)
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Contact Geometry, Measurement, and Thermodynamics
Pages 3-52
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Lectures on Geometry of Monge–Ampère Equations with Maple
Pages 53-94
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Geometry of Monge–Ampère Structures
Pages 95-156
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Introduction to Symbolic Computations in Differential Geometry with Maple
Pages 157-182
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On the Geometry Arising in Some Meteorological Models in Two and Three Dimensions
Pages 185-207
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Nonlinear PDEs, Their Geometry, and Applications
- Book Subtitle
- Proceedings of the Wisła 18 Summer School
- Editors
-
- Radosław A. Kycia
- Maria Ulan
- Eivind Schneider
- Series Title
- Tutorials, Schools, and Workshops in the Mathematical Sciences
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-17031-8
- DOI
- 10.1007/978-3-030-17031-8
- Softcover ISBN
- 978-3-030-17030-1
- Series ISSN
- 2522-0969
- Edition Number
- 1
- Number of Pages
- XVII, 279
- Number of Illustrations
- 4 b/w illustrations, 17 illustrations in colour
- Topics
