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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Jet Single-Time Lagrange Geometry and Its Applications
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Jet Single-Time Lagrange Geometry and Its Applications
Vladimir Balan (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
25.10.2011
Sprache
Englisch
EAN
9781118127551, 9781118127551
Herausgeber
John Wiley & Sons
Sonderedition
Nein
Autor
Vladimir Balan
Seitenanzahl
216
Einbandart
Gebundene Ausgabe
Einbandart Details
Klebebindung
Autorenporträt
VLADIMIR BALAN, PhD, is Professor in the Department of Mathematics and Informatics at the University Politehnica of Bucharest, Romania. He has published extensively in his areas of research interest, which include harmonic maps, variational problems in fiber bundles, and generalized gauge theory and its applications in mechanics and mathematical physics.
MIRCEA NEAGU, PhD, is Assistant Professor in the Department of Algebra, Geometry, and Differential Equations at the Transilvania University of Bra¿¿ov, Romania. He is the author of more than thirty-five journal articles on jet Riemann-Lagrange geometry and its applications.
Hersteller: Wiley, Boschstrasse 12, Weinheim, Deutschland, 69469, product_safety@wiley.com, Wiley-VCH GmbH
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