Mechanics, Analysis and Geometry: 200 Years after Lagrange - 1st Edition - ISBN: 9780444889584, 9780444597373

Mechanics, Analysis and Geometry: 200 Years after Lagrange

1st Edition

Editors: M. Francaviglia
eBook ISBN: 9780444597373
Imprint: North Holland
Published Date: 5th February 1991
Page Count: 572
Tax/VAT will be calculated at check-out Price includes VAT (GST)
20% off
20% off
20% off
20% off
20% off
20% off
72.95
58.36
58.36
54.95
43.96
43.96
43.99
35.19
35.19
Unavailable
Price includes VAT (GST)
DRM-Free

Easy - Download and start reading immediately. There’s no activation process to access eBooks; all eBooks are fully searchable, and enabled for copying, pasting, and printing.

Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.

Open - Buy once, receive and download all available eBook formats, including PDF, EPUB, and Mobi (for Kindle).

Institutional Access

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.

Table of Contents

Foreword. Dynamical Systems. Periodic solutions near the Lagrange equilibrium points in the restricted three-body problem for mass ratios near Routh's critical value (G. Dell'Antonio). Lower bound on the dimension of the attractor for the Navier-Stokes equations in Space Dimension 3 (J.-M. Ghidaglia and R. Temam). Homoclinic chaos for ray optics in a fiber: 200 years after Lagrange (D.D. Holm and G. Kovacic). On the vortex-wave system (C. Marchioro and M. Pulvirenti). Integrable Systems and Quantum Groups. The averaging procedure for the soliton-like solutions of integrable systems (I.M. Krichever). A new topological invariant of topological Hamiltonian systems of differential equations and applications to problems in physics and mechanics (A.T. Fomenko). On the Lie algebra of motion integrals for two-dimensional hydrodynamic equations in Clebsh variables (V.E. Zakharov). Quasiclassical limit of quantum matrix groups (B.A. Kupershmidt). Analytical Mechanics and Calculus of Variations. A multisymplectic framework for classical field theory and the calculus of variations: I. Covariant Hamiltonian formalism (M.J. Gotay). Conformal symmetries and generalized recurrences for heat and Schrödinger equations in one spatial dimension (E.G. Kalnins, R.D. Levine and W. Miller, Jr.). On the geometry of the Lagrange problem (W.F. Shadwick). Global Analysis. Massivité des espaces de Sobolev et spectre du Laplacien des Variétés Riemanniennes compactes (A. Avez). Yang-Mills fields on Lorentzian manifolds (Y. Choquet-Bruhat). Eigenvalues of the Laplacian (T.M. Rassias). Differential Geometry. How can a drum change shape, while sounding the same? Part II (D. DeTurck, H. Gluck, C. Gordon and D. Webb). Vector fields on the circle (N. Hitchin). Scalar differential invariants, diffieties and characteristic classes (A.M. Vinogradov). Relativity and Field Theory. The covariant phase space of asymptotically flat gravitational fields (A. Ashtekar, L. Bombelli and O. Reula). The Lagrangian approach to conserved quantities in general relativity (M. Ferraris and M. Francaviglia). Differential geometry and the Lagrangians of superstring theory (P. Frè). Quantum gravity and quantum groups (J.E. Nelson and T. Regge). Chen's iterated path integrals, quantum vortices and link invariants (V. Penna, M. Rasetti and M. Spera). Massive modes and effective geometry (K.S. Stelle). History of Mathematics. Formal versus convergent power series (J. Dieudonné).


Description

Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.


Details

No. of pages:
572
Language:
English
Copyright:
© North Holland 1991
Published:
Imprint:
North Holland
eBook ISBN:
9780444597373

About the Editors

M. Francaviglia Editor

Affiliations and Expertise

Institute for Mathematical Physics, "J.-Louis Lagrange", University of Torino, Italy