As mentioned, the book's most significant practical drawback is its errors. While no single, official, comprehensive errata is easy to find, discussions among students on forums like Physics Forums have collectively identified many of them. These collaborative discoveries are helpful resources for anyone who finds a particular problem unsolvable; it may be the book, not the reader.
Kay does not treat tensors merely as abstract algebraic constructs. The text bridges pure math with practical applications, showing how tensors operate in: tensor calculus david kay pdf
Tensor calculus rewards effort: small computations reveal deep geometric structure. David Kay’s PDF is a compact, approachable companion on that path — treat it as both a tutor and a pocket reference, and complement it with hands-on practice on simple curved spaces. As mentioned, the book's most significant practical drawback
David C. Kay’s Schaum's Outline of Tensor Calculus is widely considered one of the best introductory resources on the subject. Book Structure and Pedagogical Approach Kay does not treat tensors merely as abstract
It is impossible to read tensor calculus passively. Keep a notebook handy and verify every index contraction and substitution yourself.