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# đź“™ The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics (Fundamental Theories of Physics) by R. Miron â€” epub download

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This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and theoretical physics are included as well. Audience: This volume will be of interest to scientists whose work involves differential geometry, mechanics of particles and systems, calculus of variation and optimal control, optimization, optics, electromagnetic theory, and biology.

## About book:

## About file:

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- Series:
**Fundamental Theories of Physics** - Author:
**R. Miron** - Year:
**1997** - Publisher:
**Springer** - Language:
**English** - ISBN:
**9780792343936,079234393X**

- File size:
**2 473 465** - Format:
**djvu**

Security code:

This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of...

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, ...

Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. Very often, the starting point for such studies is a variational problem formulated for a convenient Lagrangian. From a...

Scientific computing, which involves the analysis of complex systems in real applications with numerical simulations, is an important area of research in itself, in relation to theoretical investigations and physical experiments. In many cases, the underl...

There is now a greater range of mathematics used in theoretical physics than ever. The aim of this book is to introduce theoretical physicists, of graduate student level upwards, to the methods of differential geometry and Clifford algebras in classical f...

There is now a greater range of mathematics used in theoretical physics than ever. The aim of this book is to introduce theoretical physicists, of graduate student level upwards, to the methods of differential geometry and Clifford algebras in classical f...

The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in inform...

This book constitutes the refereed proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics, TPHOL '96, held in Turku, Finland, in August 1996. The 27 revised full papers included together with one invited paper were caref...

This self-contained book is excellent for graduate-level courses devoted to variational analysis, optimization, and partial differential equations (PDEs). It provides readers with a complete guide to problems in these fields as well as a detailed presenta...

This seventh book in the series of Success in Academic Surgery look to sustain the field and facilitate the next generation of leaders in Academic Global Surgery. It brings together a catalogue of current knowledge, needs, and pathways to a career in the ...

This timely collection features an impressive assembly of the nation's leading intellectuals, addressing some of the most urgent issues facing higher education in the United States today....