Tensors The Mathematics of Relativity Theory and Continuum Mechanics /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Das, Anadijiban (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Θέματα: Physics.; Human physiology.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.; Human Physiology.

Tensors: The Mathematics of Relativity Theory and Continuum Mechanics, by Anadijiban Das, emerged from courses taught over the years at the University College of Dublin, Carnegie-Mellon University and Simon Fraser University. This book will serve readers well as a modern introduction to the theorie...

Πίνακας περιεχομένων:

• Finite- Dimensional Vector Spaces and Linear Mappings
• Fields
• Finite-Dimensional Vector Spaces
• Linear Mappings of a Vector Space
• Dual or Covariant Vector Space
• Tensor Algebra
• The Second Order Tensors
• Higher Order Tensors
• Exterior or Grassmann Algebra
• Inner Product Vector Spaces and the Metric Tensor
• Tensor Analysis on a Differentiable Manifold
• Differentiable Manifolds
• Vectors and Curves
• Tensor Fields over Differentiable Manifolds
• Differential Forms and Exterior Derivatives
• Differentiable Manifolds with Connections
• The Affine Connection and Covariant Derivative
• Covariant Derivatives of Tensors along a Curve
• Lie Bracket, Torsion, and Curvature Tensor
• Riemannian and Pseudo-Riemannian Manifolds
• Metric, Christoffel, Ricci Rotation
• Covariant Derivatives
• Curves, Frenet-Serret Formulas, and Geodesics
• Special Coordinate Charts
• Speical Riemannian and Pseudo-Riemannian Manifolds
• Flat Manifolds
• The Space of Constant Curvature
• Extrinsic Curvature.