Isbn: 9781848161559 - geometric mechanics: rotating, translating and rolling: 0 (12 risultati)

15 x 23 cm. 312 pages. HC Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch.

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Condizione: New.

Condizione: New.

Hardcover. Condizione: Very Good. Hardcover, xvi + 294 pages, NOT ex-library. Neatly removed title page, else great shape. Book is clean and bright throughout with unmarked text, free of inscriptions and stamps, firmly bound. Issued without a dust jacket. -- Contents: Preface; 1 Galileo [Principle of Galilean relativity; Galilean transformations; Lie group actions of SE(3) & G(3)] 2 Newton, Lagrange, Hamilton [Newton (Newtonian form of free rigid rotation; Newtonian form of rigid-body motion); Lagrange (Principle of stationary action); Noether's theorem (Lie symmetries & conservation laws; Infinitesimal transformations of a Lie group); Lagrangian form of rigid-body motion (Hamilton-Pontryagin variations; Manakov's formulation of the SO(n) rigid body; Matrix Euler-Poincar'e equations; Manakov's integration of the SO(n) rigid body); Hamilton (Hamiltonian form of rigid-body motion; Lie-Poisson Hamiltonian rigid-body dynamics; Nambu's R3 Poisson bracket; Clebsch variational principle for the rigid body)] 3 Quaternions [Operating with quaternions (Quaternion multiplication using Pauli matrices; Quaternionic conjugate; Decomposition of three-vectors; Alignment dynamics for Newton's 2nd Law; Quaternionic dynamics of Kepler's problem); Quaternionic conjugation (Quaternionic conjugation in CK terms; Pure quaternions, Pauli matrices & SU(2); Tilde map: R3=su(2)=so(3); Pauli matrices and Poincare's sphere C2 to S2; Poincare's sphere and Hopf's fibration)] 4 Quaternionic conjugacy [Cayley-Klein dynamics (Cayley-Klein parameters, rigid-body dynamics; Body angular frequency; Hamilton's principle in CK parameters); Actions of quaternions] 5 Special orthogonal group [Adjoint and coadjoint actions of SO(3)] 6 Special Euclidean group [Introduction to SE(3); Adjoint operations for SE(3); Adjoint actions of se(3); Left versus Right] 7 Geometric Mechanics on SE(3) [Left-invariant Lagrangians; Kirchhoff equations] 8 Heavy top equations [Introduction and definitions; Heavy top action principle; Lie-Poisson brackets; Clebsch action principle; Kaluza-Klein construction] 9 Euler-Poincare theorem [Action principles on Lie algebras; Hamilton-Pontryagin principle; Clebsch approach to Euler-Poincare; Lie-Poisson Hamiltonian formulation] 10 Lie-Poisson Hamiltonian form [Hamiltonian continuum spin chain] 11 Momentum maps [Standard momentum map; Cotangent lift; Examples] 12 Round rolling rigid bodies [Introduction (Holonomic versus nonholonomic; Chaplygin's top); Hamilton-Pontryagin principle; Nonholonomic symmetry reduction (Semidirect-product structure; Euler-Poincare theorem)] A Geometrical structure [Manifolds; Motion: Tangent vectors and flows (Vector fields, integral curves and flows; Differentials of functions: The cotangent bundle); Tangent and cotangent lifts (Summary of derivatives on manifolds)] B Lie groups and Lie algebras [Matrix Lie groups; Defining matrix Lie algebras; Examples of matrix Lie groups; Lie group actions (Left and right translations on a Lie group); Tangent and cotangent lift actions; Jacobi-Lie bracket; Lie derivative and Jacobi-Lie bracket (Lie derivative of a vector field; Vector fields in ideal fluid dynamics)] C Enhanced coursework [Variations on rigid-body dynamics (Two times; Rotations in complex space; Rotations in four dimensions: SO(4)); C3 oscillators; GL(n, R) symmetry]; Bibliography; Index.…

Condizione: New.

Hardback. Condizione: New. New copy - Usually dispatched within 4 working days.

Condizione: New. In English.

Hardcover. Condizione: Brand New. illustrated edition. 312 pages. 9.00x6.25x0.75 inches. In Stock.

Buch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. …

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. This book treats the dynamics of rotating, spinning and rolling rigid bodies from a geometric.…

Buch. Condizione: Neu. GEOMETRIC MECHANICS (PART II) | Holm Darryl D | Buch | Gebunden | Englisch | 2008 | ICP | EAN 9781848161559 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.