Tensors and Manifolds : With Applications to Physics

tensors and manifolds : with applications to physics

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Tensors and Manifolds : With Applications to Physics

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Book Description
This book is a new edition of "Tensors and Manifolds: With Applications to Mechanics and Relativity" which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern
mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialized courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote at an early stage, a better
appreciation and understanding of each other's discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. He existing material from the first
edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigor
combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics.

Tensors and Manifolds: With Applications to Physics ,Robert H. Wasserman,Oxford University Press, USA,0198510594,Calculus of tensors,English as a Second Language,Foreign Language Study,Generalized spaces,Language,Manifolds (Mathematics),Mathematical Physics,Mathematics,Mechanics,Physics,Science/Mathematics,Vector Analysis,Algebraic geometry,Algebraic topology,Differential & Riemannian geometry,English,General relativity,Mathematics / Vector Analysis,Mathematics for scientists & engineers,Physics | Mathematical physics,Vector & tensor analysis

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