: Covers the summation convention, coordinate transformations ( ), and definitions of contravariant and covariant vectors. Tensor Algebra
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
: 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
: Detailed look at their laws of transformation and roles in covariant differentiation. Covariant Differentiation
: 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
: The text illustrates the use of tensors in differential geometry, classical mechanics, and general relativity. Author Profile
: Focuses on the differentiation of vectors, tensors, sums, and products. Curvature and Applications
The book provides a compact exposition of tensor theory and its applications in geometry and physics. ResearchGate Key Topics and Structure
: Prof. M.C. Chaki was an eminent geometer and teacher at the University of Calcutta
, known for his research on relativistic manifolds and pseudo-symmetric spaces. ResearchGate
The text is designed to introduce the "generalised concept of a vector" and follows a syllabus-oriented structure: Fundamental Concepts
Tensor Calculus M.c. Chaki Pdf Apr 2026
: Covers the summation convention, coordinate transformations ( ), and definitions of contravariant and covariant vectors. Tensor Algebra
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
: 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 tensor calculus m.c. chaki pdf
: Detailed look at their laws of transformation and roles in covariant differentiation. Covariant Differentiation
: 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 Chaki is a foundational text widely used for B
: The text illustrates the use of tensors in differential geometry, classical mechanics, and general relativity. Author Profile
: Focuses on the differentiation of vectors, tensors, sums, and products. Curvature and Applications Context and Use Target Audience : Primarily mathematics
The book provides a compact exposition of tensor theory and its applications in geometry and physics. ResearchGate Key Topics and Structure
: Prof. M.C. Chaki was an eminent geometer and teacher at the University of Calcutta
, known for his research on relativistic manifolds and pseudo-symmetric spaces. ResearchGate
The text is designed to introduce the "generalised concept of a vector" and follows a syllabus-oriented structure: Fundamental Concepts