Jet Single Time Lagrange Geometry And Its Applications

Author : Vladimir Balan
Publisher : John Wiley & Sons
ISBN 13 : 1118143779
Total Pages : 212 pages
Book Rating : 4.73/5 ( download)

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Download or read book Jet Single-Time Lagrange Geometry and Its Applications written by Vladimir Balan and published by John Wiley & Sons. This book was released on 2011-11-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-Moór 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.

Author : Vladimir Balan
Publisher : Wiley
ISBN 13 : 9781118143780
Total Pages : 216 pages
Book Rating : 4.87/5 ( download)

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Download or read book Jet Single-Time Lagrange Geometry and Its Applications written by Vladimir Balan and published by Wiley. This book was released on 2011-11-22 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-Moór 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.

Author : Mircea Neagu
Publisher : Springer Nature
ISBN 13 : 3031088859
Total Pages : 91 pages
Book Rating : 4.58/5 ( download)

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Download or read book Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications written by Mircea Neagu and published by Springer Nature. This book was released on 2022-08-31 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems.

Author : Dmitry V. Zenkov
Publisher : Springer
ISBN 13 : 9462391092
Total Pages : 296 pages
Book Rating : 4.93/5 ( download)

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Download or read book The Inverse Problem of the Calculus of Variations written by Dmitry V. Zenkov and published by Springer. This book was released on 2015-10-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).

Author :
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.50/5 ( download)

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Download or read book Balkan Journal of Geometry and Its Applications written by and published by . This book was released on 2006 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Oldřich Kowalski
Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.17/5 ( download)

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Download or read book Differential Geometry and Its Applications written by Oldřich Kowalski and published by . This book was released on 1993 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : D. J. Saunders
Publisher : Cambridge University Press
ISBN 13 : 0521369487
Total Pages : 307 pages
Book Rating : 4.80/5 ( download)

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Download or read book The Geometry of Jet Bundles written by D. J. Saunders and published by Cambridge University Press. This book was released on 1989-03-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to , particularly those associated with the calculus of variations, in a modern geometric way.

Author : Andreas Kriegl
Publisher : American Mathematical Soc.
ISBN 13 : 0821807803
Total Pages : 631 pages
Book Rating : 4.04/5 ( download)

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Download or read book The Convenient Setting of Global Analysis written by Andreas Kriegl and published by American Mathematical Soc.. This book was released on 1997 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Josef Janyška
Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.55/5 ( download)

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Download or read book International Conference on Differential Geometry and Its Applications written by Josef Janyška and published by World Scientific Publishing Company. This book was released on 1990 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.24/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: