It covers the transformation of coordinates, summation conventions, covariant and contravariant vectors, invariants, and Riemannian geometry.
A collection of significant tensor calculus books, including this textbook, is maintained in this GitHub Repository . Book Overview & Contents
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A prolific researcher in various branches of geometry, Chaki served with great distinction as the Sir Asutosh Birth Centenary Professor of Higher Mathematics and Head of the Department of Pure Mathematics at the University of Calcutta. His research contributions, which spanned classical and modern differential geometry, earned him international recognition. One of his most celebrated achievements was the introduction of the "pseudo-symmetric manifold," a concept so innovative that it is now commonly referred to in mathematical literature as the . This is a testament to the profound and lasting impact of his work on the global mathematical community.
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It is frequently cited in Mathematics Honours Syllabi as a core reference for semester-level tensor analysis courses. Verified User Feedback
3. Locating a "Tensor Calculus MC Chaki PDF Verified" Resource One of his most celebrated achievements was the
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Do not just read the solved problems—re-derive them.
: The metric tensor, fundamental tensors of Riemannian space, and Christoffel symbols.