Discussion Overview
The discussion revolves around recommendations for textbooks to learn about tensors, particularly in the context of preparing for studies in particle physics, general relativity, and quantum field theory. Participants share various resources and express their preferences regarding the suitability of different texts for introducing tensor notation and related concepts.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant expresses a desire to learn tensors as a prerequisite for studying particle physics and general relativity.
- Another participant recommends several Schaum's series books, including "Schaum Tensor Calculus," "Schaum Vector Analysis," and "Schaum Differential Geometry," as good options for learning tensors.
- A participant suggests that the Wikipedia page on tensors provides a good overview, noting that many textbooks may overlook broader concepts in favor of detailed technicalities.
- Chapter 3 of "A First Course in General Relativity" by Bernard Schutz is recommended as an accessible introduction to tensors, though the same participant expresses reservations about the book's treatment of general relativity.
- Another suggestion includes Chapter 8 of "Linear Algebra Done Wrong" by Sergei Treil, which is noted for its overall quality in linear algebra and availability for free download.
- One participant mentions the challenge of finding a satisfactory book that covers classical vector analysis in a way that is relevant for early physics students, indicating a preference for more practical applications over abstract treatments.
- H. Stephan's "Relativity - An Introduction to Special and General Relativity" is highlighted as a good resource for understanding the Ricci calculus in holonomic coordinates.
Areas of Agreement / Disagreement
Participants present multiple competing views on the best resources for learning tensors, with no consensus on a single recommended textbook. Different preferences for the level of mathematical rigor and practical applicability are evident.
Contextual Notes
Some participants note the limitations of existing texts in addressing the needs of physics students, particularly regarding the treatment of vector analysis and the balance between abstract and practical approaches.