Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

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A01=Steinar Johannesen
advanced differential geometry applications
Author_Steinar Johannesen
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Category=PBMP
Category=PHU
chart
Countable Subcover
darboux
Darboux Frame
differential topology
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eq_nobargain
eq_non-fiction
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field
Finite Dimensional Normed Vector Space
frame
frenet
Frenet Frame
graduate mathematics textbook
Higher Dimensional Manifolds
Immersed Submanifold
Integral Curve
Lie group theory
Linear Isomorphism
local
Local Chart
Local Trivialization
Open Neighbourhood
Open Subinterval
Open Subset
osculating
plane
Riemannian geometry
Smooth Manifolds
Smooth Structure
Symmetric Bilinear Function
symplectic manifolds
tangent
Tangent Bundle
Tangent Plane
Tangent Vector
tensor calculus
Time Dependent Vector Field
Unique Vector Field
unit
Unit Tangent Vector
Vector Bundle
Vector Field

Product details

  • ISBN 9781498796712
  • Weight: 1070g
  • Dimensions: 156 x 234mm
  • Publication Date: 01 Dec 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, this book provides complete and rigorous proofs of all the results presented within. Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry with non-trivial applications especially within the general theory of relativity. The emphasis is upon a systematic and logical construction of the mathematical foundations. It can be used as a textbook for a pure mathematics course in differential geometry, assuming the reader has a good understanding of basic analysis, linear algebra and point set topology. The book will also appeal to students of theoretical physics interested in the mathematical foundation of the theories.

Before his retirement in 2014, Steinar Johannesen was an associate professor of mathematics at Oslo and Akershus University College of Applied Sciences, Norway

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