8 edition of **The Geometry of Hamilton and Lagrange Spaces (Fundamental Theories of Physics, Volume 118) (Fundamental Theories of Physics)** found in the catalog.

- 134 Want to read
- 24 Currently reading

Published
**May 1, 2001**
by Springer
.

Written in English

- Differential & Riemannian geometry,
- Physics,
- Geometry - General,
- Differential Geometry,
- Mathematical Physics,
- Mathematics,
- Science/Mathematics,
- Hamilton spaces,
- General,
- Geometry - Differential,
- Mathematics / Geometry / Differential,
- Medical-General,
- Science-Physics,
- Lagrange spaces

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 356 |

ID Numbers | |

Open Library | OL7809411M |

ISBN 10 | 0792369262 |

ISBN 10 | 9780792369264 |

The Geometry of Hamilton and Lagrange Spaces (Fundamental Theories of Physics) by R. Miron, Dragos Hrimiuc, Hideo Shimada, Sorin V. Sabau 1 edition - . Finsler and Lagrange Geometries by Mihai Anastasiei, , available at Book Depository with free delivery worldwide.

The geometry of Hamilton and Lagrange spaces, Kluwer Academic Publishers, FTPH no. , , ISBN MR (e) I. Bucataru, R. Miron, Finsler-Lagrange Geometry. Applications to dynamical systems, Ed. Minkowski geometry is a non-Euclidean geometry in a finite number of dimensions that is different from elliptic and hyperbolic geometry (and from the Minkowskian geometry of spacetime). Here the linear structure is the same as the Euclidean one but distance is not "uniform" in all directions. Instead of the usual sphere in Euclidean space, the unit ball is a general symmetric convex set.

Complex Spaces in Finsler, Lagrange and Hamilton Geometries From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from ([Fi]). and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles Sergiu I. Vacaru∗ Physics Department, California State University at Fresno, Fresno, CA , USA and Project IDEI, University "Al. I. Cuza" Iaşi, Romania Janu Abstract We develop an axiomatic geometric approach and provide an unconventional review of Cited by: 2.

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The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new.

The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext. Get this from a library. The geometry of Hamilton and Lagrange spaces. [Radu Miron;] -- "This monograph presents for the first time the foundations of Hamilton Geometry. The concept of Hamilton Space, introduced by the first author and investigated by the authors, opens a.

The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy.

However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A.

Request PDF | On Jan 1,R Miron and others published The Geometry of Hamilton and Lagrange Spaces | Find, read and cite all the research you need on ResearchGate.

However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and by: The Paperback of the Complex Spaces in Finsler, Lagrange and Hamilton Geometries by Gheorghe Munteanu at Barnes & Noble.

FREE Shipping on $35 or more. Due to COVID, orders may be : Gheorghe Munteanu. This book is the first to present an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. It is a direct continuation of the book The Geometry of Hamilton and Lagrange Spaces, (Kluwer Academic Publishers, ).

It contains the general theory of higher order Hamilton spaces H (k)n, k>=1, semisprays, the canonical nonlinear Author: R. Miron. The book consists of thirteen chapters. The first three chapters present the topics of the tangent bundle geometry, Finsler and Lagrange spaces.

Chapters are devoted to the construction of geometry of Hamilton spaces and the duality between these spaces and Lagrange spaces. The dual of a Finsler space is a Cartan space.

Skip to main content. LOGIN ; GET LIBRARY CARD ; GET EMAIL UPDATES ; SEARCH ; Home ; About Us. Those who downloaded this book also downloaded the following books. In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces.

Finsler geometry had a period of incubation long enough, so that few math ematicians (E. Cartan, L. Berwald, S.S Brand: Springer Netherlands. X The Geometry of Hamilton & Lagrange Spaces ge geometry, discussed in Chapter 3, the metric tensor is obtained by taking the Hessian with respect to the tangential coordinates of a smooth function L defined on the tangent bundle.

This function is called a regular Lagrangian provided the Hessian is nondegenerate, and no other conditions are. Title: Book Review: The Geometry of Hamilton and Lagrange Spaces.

By Radu Miron, Dragos Hrimiuc, Hideo Shimada, and Sorin V. Sabau. p., Kluwer Academic Publishers. Complex Spaces in Finsler, Lagrange and Hamilton Geometries | From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

Finsler from (Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be. The book is divided in three parts: I. Lagrange and Hamilton spaces; II.

Lagrange and Hamilton spaces of higher order; III. Analy-tical Mechanics of Lagrangian and Hamiltonian mechanical systems.

The part I starts with the geometry of tangent bundle (TM,π,M) of a differentiable, real, n−dimensional manifold M. The main geo-File Size: 1MB.

Book Review: The Geometry of Hamilton and Lagrange Radu Miron, Dragos Hrimiuc, Hideo Shimada, and Sorin V. Sabau. p., Kluwer Academic Publishers Author: Solange F. Rutz.

The concept of Finslerian and Lagrangian structures were introduced in the papers [9,13] and the theory of higher order Lagrange and Hamilton spaces were Author: Radu Miron.

The geometry of Lagrange and Hamilton spaces is the geometrical theory of these two sequences. The applications in Mechanics, Relativity, Relativistic Optics, Varia-tional Calculus, Optimal Control or Biology use the previous sequences. There is a natural extension of this geometry given to the higher-order Lagrange and Hamilton geometry.

The Hamiltonian geometry is geometrical study of the sequence II. The part II of the book is devoted to the notions of Lagrange and Hamilton spaces of higher order. The geometrical theory of the total space of k--tangent bundle [k] M, k [greater than or equal to] 1, is studied generalizing, step by step the theory from case k = 1.

The Geometry of Hamilton and Lagrange Spaces by Radu Miron Al. I. Cuza University, lafi, Romania Drago$ Hrimiuc University of Alberta, Edmonton, Canada Hideo Shimada Hokkaido Tokai University, Sapporo, Japan and Sorin V. Sabau Tokyo Metropolitan University, Tokyo, Japan KLUWER ACADEMIC PUBLISHERS N E W YORK, BOSTON, DORDRECHT.

There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M.

Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry).5/5(1).adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A.