Lagrange and Finsler Geometry

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Lagrange and Finsler Geometry is written by P.L. Antonelli and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 9401586500 (ISBN 10) and 9789401586504 (ISBN 13).

The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.