GEOMETRIC MECHANICS, PART I: DYNAMICS AND SYMMETRY
ISBN-13:
9781848161962
ISBN-10:
1848161964
Author:
Darryl D Holm
Publication date:
2008
Publisher:
Imperial College Press
Format:
Paperback
376 pages
FREE US shipping
Book details
ISBN-13:
9781848161962
ISBN-10:
1848161964
Author:
Darryl D Holm
Publication date:
2008
Publisher:
Imperial College Press
Format:
Paperback
376 pages
Summary
GEOMETRIC MECHANICS, PART I: DYNAMICS AND SYMMETRY (ISBN-13: 9781848161962 and ISBN-10: 1848161964), written by authors
Darryl D Holm, was published by Imperial College Press in 2008.
With an overall rating of 3.8 stars, it's a notable title among other
books. You can easily purchase or rent GEOMETRIC MECHANICS, PART I: DYNAMICS AND SYMMETRY (Paperback) from BooksRun,
along with many other new and used
books
and textbooks.
And, if you're looking to sell your copy, our current buyback offer is $0.51.
Description
This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. It treats the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Lie-group symmetries. The only prerequisites are linear algebra, calculus and some familiarity with the Euler Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these examples, the student develops skills in performing computational manipulations, starting from Fermat's principle, working through the theory of differential forms on manifolds and transferring these ideas to the applications of reduction by symmetry to reveal Lie Poisson Hamiltonian formulations and momentum maps in physical applications. The many Exercises and Worked Answers aid the student to grasp the essential aspects of the subject. In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear. All theorems are stated and proved explicitly. The book's many worked exercises make it ideal for both classroom use and self-study. In particular, a substantial appendix containing both introductory examples and enhanced coursework problems with worked answers is included to help the student develop proficiency in using the powerful methods of geometric mechanics. Contents: Fermat s Ray Optics; Newton Lagrange, Hamilton; Differential Forms; Resonances and S1 Reduction; Elastic Spherical Pendulum; Maxwell Bloch Equations.
We would LOVE it if you could help us and other readers by reviewing the book
Book review
Congratulations! We have received your book review.
{user}
{createdAt}
by {truncated_author}