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Convexity Methods in Hamiltonian Mechanics by Ivar Ekeland

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Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

Subjects:

  • Mathematics,
  • Mathematical optimization,
  • Partial Differential equations

Book details:

Edition Notes

Statementby Ivar Ekeland
SeriesErgebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 19, Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 19.
Classifications
LC ClassificationsQA370-380
The Physical Object
Format[electronic resource] /
Pagination1 online resource (x, 247 pages 4 illustrations).
Number of Pages247
ID Numbers
Open LibraryOL27027366M
ISBN 103642743331, 3642743315
ISBN 109783642743337, 9783642743313
OCLC/WorldCa851775531

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Convexity Methods in Hamiltonian Mechanics. Authors: Ekeland, Ivar Free Preview. Buy this book eB89 *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Convexity methods in Hamiltonian mechanics. Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: I Ekeland. Convexity Methods in Hamiltonian Mechanics by Ivar Ekeland, , available at Book Depository with free delivery worldwide. On the Central Limit Problem for Partially Exchangeable Random Variables with Values in a Hilbert Space Structural Stabilization of Uncertain Systems: Necessity of the Matching ConditionAuthor: Tudor S. Ratiu.

Ekeland I. Convexity Methods in Hamiltonian Mechanics. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L =l dPi 1\ dqi' The most celebrated result he obtained in this direction is his last geometric theorem, which states that an area-preserving map of the. I’ll do two examples by hamiltonian methods – the simple harmonic oscillator and the soap slithering in a conical basin. Both are conservative systems, and we can write the hamiltonian as \(T+V\), but we need to remember that we are regarding the hamiltonian as a function of . A Student’s Guide to Lagrangians and Hamiltonians A concise but rigorous treatment of variational techniques, focusing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange’s equations to a number of mechanical Size: 1MB. nian mechanics is a consequence of a more general scheme. One that brought us quantum mechanics, and thus the digital age. Indeed it has pointed us beyond that as well. The scheme is Lagrangian and Hamiltonian mechanics. Its original prescription rested on two principles. First that we should try toFile Size: KB.

If you're serious about acquiring a truly deep understanding of Lagangian and Hamiltonian mechanics, you would be hard pressed to find a more illuminating and eminently satisfying presentation than that found in Cornelius Lanczos’ Variational Prin. Ekeland I. () Convex Hamiltonian Systems. In: Convexity Methods in Hamiltonian Mechanics. Ergebnisse der Mathematik und ihrer Grenzgebiete (A Series of Modern Surveys in Mathematics Cited by: 2.   Convexity Methods in Hamiltonian Mechanics In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the Author: Frank Munley. Convexity methods in hamiltonian mechanics. [Ivar Ekeland] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Ivar Ekeland. Find more information about: ISBN: .