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  • © 2003

The Geometry of Higher-Order Hamilton Spaces

Applications to Hamiltonian Mechanics

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 132)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvi
  2. Lagrange Spaces of Higher Order

    • Radu Miron
    Pages 27-42
  3. Finsler Spaces of Order k

    • Radu Miron
    Pages 43-57
  4. Dual Semispray. Nonlinear Connections

    • Radu Miron
    Pages 97-123
  5. Linear Connections on the Manifold T*kM

    • Radu Miron
    Pages 125-149
  6. Hamilton Spaces of Order k ≥ 1

    • Radu Miron
    Pages 151-176
  7. Back Matter

    Pages 235-247

Reviews

From the reviews:

"The book is devoted to an extensive study of formal-geometric properties of higher-order nondegenerate one-dimensional variational integrals. … The author’s approach is useful for the construction of geometric models … . The book is precisely written, very clear, in principle self-contained and can be understood by non-specialists." (Jan Chrastina, Zentralblatt MATH, Vol. 1044 (19), 2004)

Authors and Affiliations

  • Faculty of Mathematics, Al. I. Cuza’ University, Iaşi, Romania

    Radu Miron

Bibliographic Information

  • Book Title: The Geometry of Higher-Order Hamilton Spaces

  • Book Subtitle: Applications to Hamiltonian Mechanics

  • Authors: Radu Miron

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-94-010-0070-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2003

  • Hardcover ISBN: 978-1-4020-1574-8Published: 31 October 2003

  • Softcover ISBN: 978-94-010-3995-6Published: 18 September 2012

  • eBook ISBN: 978-94-010-0070-3Published: 06 December 2012

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: XVI, 247

  • Topics: Differential Geometry, Applications of Mathematics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access