Jet Single Time Lagrange Geometry And Its Applications
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Jet Single Time Lagrange Geometry And Its Applications
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Author : Vladimir Balan
language : en
Publisher: John Wiley & Sons
Release Date : 2011-11-22
Jet Single Time Lagrange Geometry And Its Applications written by Vladimir Balan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-22 with Mathematics categories.
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.
Jet Single Time Lagrange Geometry And Its Applications
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Author : Vladimir Balan
language : en
Publisher: Wiley
Release Date : 2011-11-22
Jet Single Time Lagrange Geometry And Its Applications written by Vladimir Balan and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-22 with Mathematics categories.
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.
Dual Jet Geometrization For Time Dependent Hamiltonians And Applications
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Author : Mircea Neagu
language : en
Publisher: Springer Nature
Release Date : 2022-08-31
Dual Jet Geometrization For Time Dependent Hamiltonians And Applications written by Mircea Neagu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-31 with Mathematics categories.
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.
The Geometry Of Jet Multi Time Lagrange And Hamilton Spaces
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Author :
language : en
Publisher:
Release Date : 2013
The Geometry Of Jet Multi Time Lagrange And Hamilton Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
The Inverse Problem Of The Calculus Of Variations
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Author : Dmitry V. Zenkov
language : en
Publisher: Springer
Release Date : 2015-10-15
The Inverse Problem Of The Calculus Of Variations written by Dmitry V. Zenkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Mathematics categories.
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).
Balkan Journal Of Geometry And Its Applications
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Author :
language : en
Publisher:
Release Date : 2006
Balkan Journal Of Geometry And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Geometry categories.
Differential Geometry And Its Applications
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Author : Oldřich Kowalski
language : en
Publisher:
Release Date : 1993
Differential Geometry And Its Applications written by Oldřich Kowalski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Geometry, Differential categories.
International Conference On Differential Geometry And Its Applications
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Author : Josef Janyška
language : en
Publisher: World Scientific Publishing Company
Release Date : 1990
International Conference On Differential Geometry And Its Applications written by Josef Janyška and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
The Geometry Of Jet Bundles
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Author : D. J. Saunders
language : en
Publisher: Cambridge University Press
Release Date : 1989-03-09
The Geometry Of Jet Bundles written by D. J. Saunders and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-09 with Mathematics categories.
The purpose of this book is to , particularly those associated with the calculus of variations, in a modern geometric way.
The Convenient Setting Of Global Analysis
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Author : Andreas Kriegl
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
The Convenient Setting Of Global Analysis written by Andreas Kriegl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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