# Geometric Mechanics - Part II: Rotating, Translating and Rolling (2nd Edition)

## Darryl D. Holm

Note moyenne 4
( 1 avis fournis par Goodreads )

This textbook introduces modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. In particular, it explains the dynamics of rotating, spinning and rolling rigid bodies from a geometric viewpoint by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler-Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.

The book uses familiar concrete examples to explain variational calculus on tangent spaces of Lie groups. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, then transferring these skills to the computation of more abstract adjoint and coadjoint motions, Lie-Poisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints.

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. Many worked examples of adjoint and coadjoint actions of Lie groups on smooth manifolds have also been added and the enhanced coursework examples have been expanded. The second edition is ideal for classroom use, student projects and self-study.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

From the Inside Flap :

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 rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.

Variational calculus on tangent spaces of Lie groups is explained in the context of familiar concrete examples. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, and then transferring these skills to the computation of more abstract adjoint and coadjoint motions, Lie Poisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints.

The 120 Exercises and 55 Worked Answers help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of geometric mechanics. In addition, all theorems are stated and proved explicitly. The book's many examples and worked exercises make it ideal for both classroom use and self-study.

Professor Darryl Holm, received his PhD from University of Michigan in 1976, is a Chaired Professor in Mathematics at Imperial College London and a Laboratory Fellow in the Computation and Computer Science Division at Los Alamos National Laboratory. His work has ranged over the applications of Geometric Mechanics in a number of topics which remain of interest in his research. These topics include Fluid Dynamics, Emergent Singular Solutions of Nonlinear PDEs and Cardiomathematics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Acheter neuf Afficher le livre
EUR 96,40

Frais de port : EUR 3,40
Vers Etats-Unis

Destinations, frais et délais

Ajouter au panier

## 1.Geometric Mechanics, Part II: Rotating, Translating and Rolling

ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Quantité : > 20
Vendeur
Pbshop
(Wood Dale, IL, Etats-Unis)
Evaluation vendeur

Description du livre 2011. HRD. État : New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. N° de réf. du libraire IB-9781848167773

Acheter neuf
EUR 96,40
Autre devise
Frais de port : EUR 3,40
Vers Etats-Unis
Destinations, frais et délais

## 2.Geometric Mechanics: Pt. Ii: Rotating, Translating And Rolling

ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Quantité : > 20
Vendeur
BWB
(Valley Stream, NY, Etats-Unis)
Evaluation vendeur

Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97818481677730000000

Acheter neuf
EUR 104,04
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais

## 3.Geometric Mechanics - Part Ii: Rotating, Translating And Rolling (2nd Edition) (Hardback)

Edité par Imperial College Press, United Kingdom (2011)
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 10
Vendeur
The Book Depository
(London, Royaume-Uni)
Evaluation vendeur

Acheter neuf
EUR 104,90
Autre devise
Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 4.Geometric Mechanics - Part Ii: Rotating, Translating And Rolling (2nd Edition) (Hardback)

Edité par Imperial College Press, United Kingdom (2011)
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 10
Vendeur
The Book Depository US
(London, Royaume-Uni)
Evaluation vendeur

Acheter neuf
EUR 105,07
Autre devise
Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 5.Geometric Mechanics: Rotating, Translating and Rolling Pt. II

Edité par Imperial College Press (2011)
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Quantité : 10
Vendeur
Books2Anywhere
(Fairford, GLOS, Royaume-Uni)
Evaluation vendeur

Description du livre Imperial College Press, 2011. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CA-9781848167773

Acheter neuf
EUR 96,21
Autre devise
Frais de port : EUR 10,07
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 6.Geometric Mechanics: Pt. Ii: Rotating, Translating And Rolling

ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Quantité : > 20
impression à la demande
Vendeur
BWB
(Valley Stream, NY, Etats-Unis)
Evaluation vendeur

Description du livre État : New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. N° de réf. du libraire POD_9781848167773

Acheter neuf
EUR 109,19
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais

## 7.Geometric Mechanics: Part II: Rotating, Translating and Rolling (2nd Edition)

Edité par Imperial College Press 2011-12-31 (2011)
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 5
Vendeur
Chiron Media
(Wallingford, Royaume-Uni)
Evaluation vendeur

Description du livre Imperial College Press 2011-12-31, 2011. Hardcover. État : New. N° de réf. du libraire NU-MAR-00046323

Acheter neuf
EUR 111,63
Autre devise
Frais de port : EUR 3,34
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 8.Geometric Mechanics: Pt. II: Rotating, Translating and Rolling (2nd Revised edition)

Edité par Imperial College Press
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 5
Vendeur
THE SAINT BOOKSTORE
(Southport, Royaume-Uni)
Evaluation vendeur

Description du livre Imperial College Press. Hardback. État : new. BRAND NEW, Geometric Mechanics: Pt. II: Rotating, Translating and Rolling (2nd Revised edition), Darryl D. Holm, 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 rotating, spinning and rolling rigid bodies from a geometric viewpoint, by formulating their solutions as coadjoint motions generated by Lie groups. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler-Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level. Variational calculus on tangent spaces of Lie groups is explained in the context of familiar concrete examples. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, and then transferring these skills to the computation of more abstract adjoint and coadjoint motions, Lie-Poisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints. The 120 Exercises and 55 Worked Answers help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of geometric mechanics. In addition, all theorems are stated and proved explicitly. The book's many examples and worked exercises make it ideal for both classroom use and self-study. N° de réf. du libraire B9781848167773

Acheter neuf
EUR 112,10
Autre devise
Frais de port : EUR 7,77
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 9.Geometric Mechanics: Rotating, Translating and Rolling

Edité par Imperial College Pr (2011)
ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 2
Vendeur
Revaluation Books
(Exeter, Royaume-Uni)
Evaluation vendeur

Description du livre Imperial College Pr, 2011. Hardcover. État : Brand New. 2nd edition. 390 pages. 9.00x6.25x1.00 inches. In Stock. N° de réf. du libraire x-1848167776

Acheter neuf
EUR 125,30
Autre devise
Frais de port : EUR 6,71
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

## 10.Geometric Mechanics (Hardcover)

ISBN 10 : 1848167776 ISBN 13 : 9781848167773
Neuf(s) Couverture rigide Quantité : 1
Vendeur
Grand Eagle Retail
(Wilmington, DE, Etats-Unis)
Evaluation vendeur

Description du livre Hardcover. État : New. 2nd. Hardcover. See also GEOMETRIC MECHANICS - Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced undergraduates and beginning graduate students in.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 412 pages. 0.726. N° de réf. du libraire 9781848167773

Acheter neuf
EUR 132,56
Autre devise
Frais de port : Gratuit
Vers Etats-Unis
Destinations, frais et délais