Geometric Methods in Physical Systems: From Differentiable Structures to Applications

Language: English

Published by Springer-Verlag Gmbh Jan 2026, 2026

3032003989 / 9783032003980

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 143 pp. Englisch.

Seller Inventory # 9783032003980

Title
Geometric Methods in Physical Systems: From Differentiable Structures to Applications
Author
Maria Ulan
Publisher
Springer-Verlag Gmbh Jan 2026
Publication year
2026
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3032003989
ISBN 13
9783032003980
Item weight
410 grams
Dimensions
241x160x15 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany