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Geometric Methods in Physical Systems: From Differentiable Structures to Applications

The Wisla 22 Winter School and Workshop

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Éditeur :

Birkhäuser


Paru le : 2026-01-29



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Description

This book presents selected lectures from the Wisla 22 Winter School and Workshop organized by the Baltic Institute of Mathematics that illustrate the power of geometric methods in understanding complex physical systems.  Chapters progress from foundational mathematical structures to concrete applications in fluid dynamics and mechanical systems, highlighting the profound connection between differential geometry and physical phenomena.
The first chapter investigates differentiable structures on a non-Hausdorff line with two origins, setting the stage for the applications that follow.  The next chapter transitions to fluid mechanics through a study of generalized geometry in two-dimensional incompressible fluid flows, establishing the mathematical framework needed for analyzing fluid systems through geometric lenses.  Building on these foundations, the third chapter expands the perspective with a comprehensive treatment of nonlinear differential equations in fluid mechanics, utilizing concepts from contact and symplectic geometry to illuminate singular properties of fluid dynamics solutions.  Finally, the fourth chapter demonstrates how geometric methods extend beyond fluid mechanics to mechanical systems with nonholonomic constraints, revealing how geometric formulations can address challenging phenomena like discontinuities, collisions, and the counterintuitive stabilization of inverted pendulums.
Geometric Methods in Physical Systems is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry and mathematical analysis is assumed.
Pages
143 pages
Collection
n.c
Parution
2026-01-29
Marque
Birkhäuser
EAN papier
9783032003980
EAN PDF
9783032003997
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
3308 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
137,79 €
EAN EPUB
9783032003997
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
13763 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
137,79 €

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