Jet Single-Time Lagrange Geometry and Its Applications

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9781118127551: Jet Single-Time Lagrange Geometry and Its Applications
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Develops the theory of jet single-time Lagrange geometry andpresents modern-day applications

Jet Single-Time Lagrange Geometry and Its Applicationsguides readers through the advantages of jet single-time Lagrangegeometry for geometrical modeling. With comprehensive chapters thatoutline topics ranging in complexity from basic to advanced, thebook explores current and emerging applications across a broadrange of fields, including mathematics, theoretical and atmosphericphysics, economics, and theoretical biology.

The authors begin by presenting basic theoretical concepts thatserve as the foundation for understanding how and why the discussedtheory works. Subusequent chapters compare the geometrical andphysical aspects of jet relativistic time-dependent Lagrangegeometry to the classical time-dependent Lagrange geometry. Acollection of jet geometrical objects are also examined such asd-tensors, relativistic time-dependent semisprays, harmonic curves,and nonlinear connections. Numerous applications, including thegravitational theory developed by both the Berwald-Moór metricand the Chernov metric, are also presented.

Throughout the book, the authors offer numerous examples thatillustrate how the theory is put into practice, and they alsopresent numerous applications in which the solutions of first-orderordinary differential equation systems are regarded as harmoniccurves on 1-jet spaces. In addition, numerous opportunities areprovided for readers to gain skill in applying jet single-timeLagrange geometry to solve a wide range of problems.

Extensively classroom-tested to ensure an accessiblepresentation, Jet Single-Time Lagrange Geometry and ItsApplications is an excellent book for courses on differentialgeometry, relativity theory, and mathematical models at thegraduate level. The book also serves as an excellent reference forresearchers, professionals, and academics in physics, biology,mathematics, and economics who would like to learn more aboutmodel-providing geometric structures.

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About the Author:

VLADIMIR BALAN, PhD, is Professor in the Department ofMathematics and Informatics at the University Politehnica ofBucharest, Romania. He has published extensively in his areas ofresearch interest, which include harmonic maps, variationalproblems in fiber bundles, and generalized gauge theory and itsapplications in mechanics and mathematical physics.

MIRCEA NEAGU, PhD, is Assistant Professor in theDepartment of Algebra, Geometry, and Differential Equations at theTransilvania University of Bra¿¿ov, Romania. He is theauthor of more than thirty-five journal articles on jetRiemann-Lagrange geometry and its applications.

Review:

 

"It will be a happy addition to the references on this topic,and it will replace some books that now are hard to find." (Mathematical Reviews, 1 January 2013)

“The book should be of interest to specialists as well as tobeginners, who can find here not only an up-to-date source of thefield, but also invitations to understand and to approach some deepand difficult problems in mathematics and physics.”(Zentralblatt MATH, 2012)

 

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Book Description John Wiley Sons Inc, United States, 2011. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. Develops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling. With comprehensive chapters that outline topics ranging in complexity from basic to advanced, the book explores current and emerging applications across a broad range of fields, including mathematics, theoretical and atmospheric physics, economics, and theoretical biology. The authors begin by presenting basic theoretical concepts that serve as the foundation for understanding how and why the discussed theory works. Subusequent chapters compare the geometrical and physical aspects of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. A collection of jet geometrical objects are also examined such as d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. Numerous applications, including the gravitational theory developed by both the Berwald-Moor metric and the Chernov metric, are also presented. Throughout the book, the authors offer numerous examples that illustrate how the theory is put into practice, and they also present numerous applications in which the solutions of first-order ordinary differential equation systems are regarded as harmonic curves on 1-jet spaces. In addition, numerous opportunities are provided for readers to gain skill in applying jet single-time Lagrange geometry to solve a wide range of problems. Extensively classroom-tested to ensure an accessible presentation, Jet Single-Time Lagrange Geometry and Its Applications is an excellent book for courses on differential geometry, relativity theory, and mathematical models at the graduate level. The book also serves as an excellent reference for researchers, professionals, and academics in physics, biology, mathematics, and economics who would like to learn more about model-providing geometric structures. Seller Inventory # AAH9781118127551

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Book Description John Wiley Sons Inc, United States, 2011. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. Develops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling. With comprehensive chapters that outline topics ranging in complexity from basic to advanced, the book explores current and emerging applications across a broad range of fields, including mathematics, theoretical and atmospheric physics, economics, and theoretical biology. The authors begin by presenting basic theoretical concepts that serve as the foundation for understanding how and why the discussed theory works. Subusequent chapters compare the geometrical and physical aspects of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. A collection of jet geometrical objects are also examined such as d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. Numerous applications, including the gravitational theory developed by both the Berwald-Moor metric and the Chernov metric, are also presented. Throughout the book, the authors offer numerous examples that illustrate how the theory is put into practice, and they also present numerous applications in which the solutions of first-order ordinary differential equation systems are regarded as harmonic curves on 1-jet spaces. In addition, numerous opportunities are provided for readers to gain skill in applying jet single-time Lagrange geometry to solve a wide range of problems. Extensively classroom-tested to ensure an accessible presentation, Jet Single-Time Lagrange Geometry and Its Applications is an excellent book for courses on differential geometry, relativity theory, and mathematical models at the graduate level. The book also serves as an excellent reference for researchers, professionals, and academics in physics, biology, mathematics, and economics who would like to learn more about model-providing geometric structures. Seller Inventory # AAH9781118127551

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