Download E-books The geometry of Hamilton and Lagrange spaces. PDF

By Radu, Dragos Hrimiuc, Kideo Shimada and Sorin V. Sabau Miron

The name of this booklet isn't a surprise for individuals operating within the box of Analytical Mechanics. notwithstanding, the geometric innovations of Lagrange area and Hamilton area are thoroughly new. The geometry of Lagrange areas, brought and studied in [76],[96], was once ext- sively tested within the final 20 years by means of geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A. Many foreign meetings have been dedicated to debate this topic, court cases and monographs have been released [10], [18], [112], [113],... a wide sector of applicability of this geometry is advised via the connections to Biology, Mechanics, and Physics and likewise by means of its basic environment as a generalization of Finsler and Riemannian geometries. the concept that of Hamilton house, brought in [105], [101] used to be intensively studied in [63], [66], [97],... and it's been winning, as a geometrical concept of the Ham- tonian functionality the elemental entity in Mechanics and Physics. The classical Legendre’s duality makes attainable a ordinary connection among Lagrange and - miltonspaces. It finds new innovations and geometrical gadgets of Hamilton areas which are twin to these that are related in Lagrange areas. Following this duality Cartan areas brought and studied in [98], [99],..., are, approximately conversing, the Legendre duals of sure Finsler areas [98], [66], [67]. The above arguments make this monograph a continuation of [106], [113], emphasizing the Hamilton geometry.

Show description

Read or Download The geometry of Hamilton and Lagrange spaces. PDF

Best Geometry books

Fractals Everywhere: The First Course in Deterministic Fractal Geometry

This variation additionally good points extra difficulties and instruments emphasizing fractal functions, in addition to a brand new resolution key to the textual content routines.

Geometry and Its Applications, Second Edition

Meyer's Geometry and Its functions, moment version, combines conventional geometry with present rules to offer a contemporary technique that's grounded in real-world functions. It balances the deductive strategy with discovery studying, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry.

Fibonacci's De Practica Geometrie (Sources and Studies in the History of Mathematics and Physical Sciences)

Leonardo da Pisa, probably higher referred to as Fibonacci (ca. 1170 – ca. 1240), chosen the main valuable components of Greco-Arabic geometry for the booklet often called De Practica Geometrie. This translation bargains a reconstruction of De Practica Geometrie because the writer judges Fibonacci wrote it, thereby correcting inaccuracies present in quite a few sleek histories.

Global Analysis in Mathematical Physics. : Geometric and Scholastic Methods

The 1st version of this ebook entitled research on Riemannian Manifolds and a few difficulties of Mathematical Physics used to be released via Voronezh Univer­ sity Press in 1989. For its English variation, the e-book has been considerably revised and extended. particularly, new fabric has been further to Sections 19 and 20.

Additional info for The geometry of Hamilton and Lagrange spaces.

Show sample text content

Rated 4.00 of 5 – based on 19 votes