Geometric Mechanics - Part Iii: Broken Symmetry And Composition Of Maps
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A01=Darryl D Holm
AlfvAfA(C)n Waves
Astrophysical Processes
Astrophysics
Atmosphere Dynamics
Author_Darryl D Holm
Broken Symmetry
Category=PBKJ
Category=PHU
Classical Mechanics
Compression Waves
Computing
Control Theory
Diffeomorphisms
Differential Forms
Engineering
EPDiff
eq_bestseller
eq_isMigrated=1
eq_nobargain
eq_non-fiction
eq_science
Euler-lagrange Equations
EulerAcAEURA"PoincarAfA(C)
Evolutionary Maps
Fluid Dynamics
Geometric Mechanics
Geometric Ray Optics
Geometric Structures
Hamilton's Principle
Hamilton's Variational Principle
Hamiltonian Vector Fields
Ideal Continuum Mechanics
Lie Algebras
Lie Groups
Lie Symmetry
Magnetic Confinement Fusion
Magnetohydrodynamics
Manifolds
Momentum Maps
Multi-physics Interactions
Nonlinear Science
Ocean Dynamics
Ordinary Differential Equations
Partial Differential Equations
Particle Mechanics
Plasma Physics
Rigid Body
Rigid Body Equations
Robotics
Theory of Manifolds
Vector Fields
Wave-flow Interactions
Product details
- ISBN 9781800616592
- Publication Date: 15 Aug 2025
- Publisher: World Scientific Europe Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Geometric Mechanics: Part III is a textbook presented in a lecture notes format, providing precise definitions and practical examples across a series of 31 lectures that have been developed from the author's extensive experience of teaching and research. Geometric mechanics is an incredibly rich field of study: beyond its mathematical depth and beauty, it provides a robust framework for exploring the geometric structures underpinning many dynamical systems crucial to physics.The first part introduces undergraduate mathematics and physics students to the applications of geometric mechanics in finite dimensional dynamical systems of ordinary differential equations. The second part covers the essential theory of manifolds and Lie groups to prepare senior undergraduates and graduate students for the modern applications of geometric mechanics. These applications are introduced in the third part, which delves into the geometric mechanics of partial differential equations that govern the dynamics of ideal continuum mechanics, including fluids and plasmas, at the cutting edge of current research.This textbook is designed to facilitate both course learning and individual study. With focused notes, numerous examples, and nearly 200 exercises, it serves as a valuable resource for postgraduate students, course instructors, and researchers.
