By Vladimir Balan

Develops the idea of jet single-time Lagrange geometry and offers modern day applicationsJet Single-Time Lagrange Geometry and Its purposes courses readers in the course of the benefits of jet single-time Lagrange geometry for geometrical modeling. With accomplished chapters that define themes ranging in complexity from easy to complicated, the e-book explores present and rising functions throughout a huge diversity of fields, together with arithmetic, theoretical and atmospheric physics, economics, and theoretical biology.The authors start by means of proposing easy theoretical thoughts that function the basis for knowing how and why the mentioned concept works. Subusequent chapters examine the geometrical and actual elements of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. a suite of jet geometrical gadgets also are tested comparable to d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. quite a few purposes, together with the gravitational concept built by way of either the Berwald-Mo?r metric and the Chernov metric, also are presented.Throughout the publication, the authors provide various examples that illustrate how the idea is placed into perform, and so they current quite a few purposes within which the recommendations of first-order usual differential equation structures are considered as harmonic curves on 1-jet areas. additionally, various possibilities are supplied for readers to achieve ability in making use of jet single-time Lagrange geometry to resolve a variety of problems.Extensively classroom-tested to make sure an obtainable presentation, Jet Single-Time Lagrange Geometry and Its functions is a superb publication for classes on differential geometry, relativity concept, and mathematical types on the graduate point. The ebook additionally serves as a great reference for researchers, execs, and teachers in physics, biology, arithmetic, and economics who wish to research extra approximately model-providing geometric buildings.