The book begins with the foundational concepts of vector spaces and linear transformations. Kay introduces the idea of tensors as invariant objects that exist independently of the coordinate system. Key topics include:
Overview David C. Kay’s Tensor Calculus (part of the Schaum’s Outlines series) is often overshadowed by heavier tomes like those by Synge & Schild or Lovelock & Rund. However, for the self-learner or the overwhelmed physics student, this book is a tactical weapon. The search for its PDF is a common quest on academic forums (Reddit, Physics Forums, LibGen), and for good reason.
The Good: Why People Hunt for the PDF
The Bad: The PDF Hunt & Its Pitfalls
The Verdict: Should You Download the PDF? tensor calculus david kay pdf
Final Rating (for the PDF seeker): ★★★★☆ (4/5) Deducted one star for the ugly typesetting and the legal gray area of most circulating PDFs. But for raw, drill-based learning on a budget? There is no better tensor calculus “problem solver.”
Pro Tip: If you find a scanned PDF, immediately check Chapter 3 (Covariant Differentiation). If the indices look like scrambled ASCII characters, delete it and find a cleaner scan. Your sanity depends on it. The book begins with the foundational concepts of
Use the PDF’s searchability to your advantage. In physical books, looking up the "Ricci identity" requires flipping. In a PDF, you type the term and find every occurrence. Bookmark Chapter 5 (Covariant Differentiation) and Chapter 7 (Curvature) immediately.
Moving from algebra to calculus, the book introduces the machinery needed for differential geometry. The Bad: The PDF Hunt & Its Pitfalls