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Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition) by Darryl D Holm (Paperback, 2011)

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Author: Darryl D Holm. All theorems are stated and proved explicitly.The organisation of the first edition has been preserved in the second edition. Format: Paperback. Country/Region of Manufacture: GB.

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See also GEOMETRIC MECHANICS - Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle 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 in the text enable 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 organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. In particular, the role of Noether's theorem about the implications of Lie group symmetries for conservation laws of dynamical systems has been emphasised throughout, with many applications.

Product Identifiers

Publisher
Imperial College Press
ISBN-13
9781848167759
eBay Product ID (ePID)
111558083

Product Key Features

Author
Darryl D Holm
Publication Name
Geometric Mechanics-Part I: Dynamics and Symmetry (2nd Edition)
Format
Paperback
Language
English
Subject
Mechanics, Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
468 Pages

Additional Product Features

Title_Author
Darryl D Holm
Country/Region of Manufacture
United Kingdom

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item 1 Darryl D Holm Geometric Mechanics - Part I: Dynamics And Symmetry (2 (Paperback)
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item 2 Darryl D Holm Geometric Mechanics - Part I: Dynamics And (Paperback) (US IMPORT)
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Picture 1 of 1

Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition) by Darryl D Holm (Paperback, 2011)

About this product

Product Information

Product Identifiers

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All listings for this product

item 1 Darryl D Holm Geometric Mechanics - Part I: Dynamics And Symmetry (2 (Paperback)

item 2 Darryl D Holm Geometric Mechanics - Part I: Dynamics And (Paperback) (US IMPORT)

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

In-Basket Case Studies by Guy Adamson (Paperback, 1986)

Empire of the Summer Moon: Quanah Parker and the Rise and Fall of the Comanches, the Most Powerful Indian Tribe in American History by S.C. Gwynne (Paperback, 2011)

Botanical Field Guide by Stefan Mager (Fold-out book or chart, 2021)

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

Save on Adult Learning & University

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