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Differential topology and geometry with applications to physics / Eduardo Nahmad-Achar (National Autonomous University of Mexico, Mexico City, Mexico)

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: IOP expanding physics | [IOP release 6]Publisher: Bristol, UK : IOP Publishing, [2018]Copyright date: © 2018Edition: Version: 20181201Description: 1 Online-Ressource (verschiedene Seitenzählungen) : Illustrationen, DiagrammeISBN:
  • 9780750320726
  • 9780750320719
Subject(s): Additional physical formats: 9780750320702 | Erscheint auch als: 9780750320702 Druck-AusgabeDDC classification:
  • 516.3/6 23
MSC: MSC: *53-01 | 83-01 | 53C80 | 83A05 | 83C05DOI: DOI: 10.1088/2053-2563/aadf65Online resources: Summary: Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, of the general theory of relativity, of string theory, and of gauge theories, to name but a few, are of a geometric nature. All of these disciplines require a curved space for the description of a system, and we require a mathematical formalism that can handle the dynamics in such spaces if we wish to go beyond a simple and superficial discussion of physical relationships. This formalism is precisely differential geometry. Even areas like thermodynamics and fluid mechanics greatly benefit from a differential geometric treatment. Not only in physics, but in important branches of mathematics has differential geometry effected important changes. Aimed at graduate students and requiring only linear algebra and differential and integral calculus, this book presents, in a concise and direct manner, the appropriate mathematical formalism and fundamentals of differential topology and differential geometry together with essential applications in many branches of physics.PPN: PPN: 104700724XPackage identifier: Produktsigel: ZDB-135-IAL | ZDB-135-IEP
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