By Vladimir Balan

ISBN-10: 1118127552

ISBN-13: 9781118127551

Develops the speculation of jet single-time Lagrange geometry and provides modern day applicationsJet Single-Time Lagrange Geometry and Its functions publications readers during the merits of jet single-time Lagrange geometry for geometrical modeling. With finished chapters that define subject matters ranging in complexity from simple to complex, the booklet explores present and rising functions throughout a vast diversity of fields, together with arithmetic, theoretical and atmospheric physics, economics, and theoretical biology.The authors commence by way of providing simple theoretical recommendations that function the basis for figuring out how and why the mentioned idea works. Subusequent chapters evaluate the geometrical and actual facets of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. a set of jet geometrical gadgets also are tested comparable to d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. a variety of functions, together with the gravitational conception constructed via either the Berwald-Mo?r metric and the Chernov metric, also are presented.Throughout the booklet, the authors supply a number of examples that illustrate how the speculation is placed into perform, and so they current a number of purposes within which the strategies of first-order traditional differential equation platforms are considered as harmonic curves on 1-jet areas. additionally, quite a few possibilities are supplied for readers to achieve ability in utilising jet single-time Lagrange geometry to unravel quite a lot of problems.Extensively classroom-tested to make sure an obtainable presentation, Jet Single-Time Lagrange Geometry and Its purposes is a superb publication for classes on differential geometry, relativity concept, and mathematical types on the graduate point. The ebook additionally serves as a superb reference for researchers, pros, and teachers in physics, biology, arithmetic, and economics who want to research extra approximately model-providing geometric buildings.