Geometric Mechanics And Symmetry From Finite To Infinite Dimensions(1st Edition)
Authors:
Darryl D. Holm, Tanya Schmah, Cristina Stoica
In Stock
Include with your book
Free shipping: April 13, 2024Popular items with books
Total Price:
$0
Book details
ISBN: 0199212910, 978-0199212910
Book publisher: Oxford University Press
Geometric Mechanics And Symmetry From Finite To Infinite Dimensions 1st Edition Summary: Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n-particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems.Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincaré equations for dynamics on Lie groups.Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincaré reduction theorem for ideal fluid dynamics.A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.
Customers also bought these books
Theoretical Atomic Physics - 3rd Edition
Harald Siegfried Friedrich
ISBN: 3642065031, 978-3642065033
$0 $89.99Frequently Bought Together
Business And Society Stakeholders Ethics Public Policy - 17th Edition
Anne Lawrence
ISBN: 1264080913, 978-1264080915
$0 $246.00
Rhinoceros Success - 12th Printing Edition
Scott Alexander
ISBN: 0937382000, 978-0937382004
$0 $9.13
Ethical Obligations and Decision Making in Accounting Text and Cases - 3rd edition
Steven Mintz
ISBN: 007786221X, 978-0077862213
$0 $180.00
Vector Mechanics for Engineers Statics and Dynamics - 8th Edition
Ferdinand Beer
ISBN: 73212229, 978-0073212227
$0 $156.20
Classical Mechanics Systems Of Particles And Hamiltonian Dynamics - 2nd Edition
Walter Greiner
ISBN: 3642034330, 978-3642034336
$0 $99.99
Statistical Fluid Mechanics Mechanics Of Turbulence Volume 2 - 1st Edition
A. S. Monin
ISBN: 0486458911, 978-0486458915
$0 $30.58Top Reviews for Books
