EAN: 9783662484951

TENSOR ANALYSIS AND ELEMENTARY DIFFERENTIAL GEO...

This book presents tensors and differential geometry in a comprehensive and approachable manner
providing a bridge from the place where physics and engineering mathematics end  and the place
where tensor analysis begins. Among the topics examined are tensor analysis  elementary
differential geometry of moving surfaces  and k-differential forms. The book includes numerous
examples with solutions and concrete calculations  which guide readers through these complex
topics step by step. Mindful of the practical needs of engineers and physicists  book favors
simplicity over a more rigorous  formal approach. The book shows readers how to work with
tensors and differential geometry and how to apply them to modeling the physical and
engineering world.The authors provide chapter-length treatment of topics at the intersection of
advanced mathematics  and physics and engineering: -General Basis and Bra-Ket Notation-Tensor
Analysis-Elementary Differential Geometry-Differential Forms-Applications of Tensors and
Differential Geometry-Tensors and Bra-Ket Notation in Quantum MechanicsThe text reviews methods
and applications in computational fluid dynamics  continuum mechanics  electrodynamics in
special relativity  cosmology in the Minkowski four-dimensional space time  and relativistic
and non-relativistic quantum mechanics.Tensor Analysis and Elementary Differential Geometry for
Physicists and Engineers benefits research scientists and practicing engineers in a variety of
fields  who use tensor analysis and differential geometry in the context of applied physics 
and electrical and mechanical engineering. It will also interest graduate students in applied
physics and engineering.

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