Discussion Overview
The discussion revolves around recommendations for advanced mathematical physics books suitable for understanding the mathematics involved in quantum mechanics and general relativity. Participants share their opinions on various texts based on their content and pedagogical approach.
Discussion Character
- Debate/contested
- Technical explanation
- Conceptual clarification
Main Points Raised
- One participant suggests that Peter Szekeres' "A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry" is a good fit for the original poster's needs, as it covers mathematics relevant to both quantum mechanics and general relativity.
- Another participant agrees with the recommendation of Szekeres and emphasizes its suitability while advising against using Arfken.
- Some participants express that Arfken is valuable but consider it more of a problem-solving resource rather than a textbook focused on the formal mathematical foundations needed for advanced topics.
- One participant mentions that while Frankel's work is interesting, it is primarily focused on geometry, suggesting that Szekeres would be more appropriate for the original poster's inquiry.
- There are multiple perspectives on the utility of Arfken, with some viewing it as an encyclopedia of concepts rather than a comprehensive mathematical physics text.
Areas of Agreement / Disagreement
Participants express differing views on the appropriateness of Arfken as a resource, with some recommending it and others advocating for alternatives like Szekeres. There is no consensus on a single best book, indicating multiple competing views remain.
Contextual Notes
Participants have varying levels of familiarity with the recommended texts, and there are assumptions about the reader's background knowledge in mathematics and physics that may influence the suitability of the suggestions.
Who May Find This Useful
This discussion may be useful for students or individuals seeking advanced mathematical physics resources, particularly those interested in the mathematical foundations of quantum mechanics and general relativity.