Tensor Calculus - M.c. Chaki Pdf

: Explores the Riemann-Christoffel curvature tensor, the Ricci tensor, and the Bianchi identity. Context and Use Target Audience : Primarily mathematics and postgraduate physics students. Application Areas

: Prof. M.C. Chaki was an eminent geometer and teacher at the University of Calcutta

: The text illustrates the use of tensors in differential geometry, classical mechanics, and general relativity. Author Profile tensor calculus m.c. chaki pdf

Textbook of Tensor Calculus by Prof. M.C. Chaki is a foundational text widely used for B.Sc. (Honours) and M.Sc. courses in Indian universities like the University of Calcutta

: Detailed look at their laws of transformation and roles in covariant differentiation. Covariant Differentiation the line element

: Covers the summation convention, coordinate transformations ( ), and definitions of contravariant and covariant vectors. Tensor Algebra

: Includes the Kronecker delta, symmetric and skew-symmetric tensors, and operations like contraction and inner products. Riemannian Space : Discusses the metric tensor ( g sub i j end-sub ), the line element, and conjugate tensors. Christoffel Symbols and conjugate tensors. Christoffel Symbols

, known for his research on relativistic manifolds and pseudo-symmetric spaces. ResearchGate