Discussion Overview
The discussion centers around the search for texts that cover classical mechanics, electrodynamics, and general relativity with a focus on tensor and geometric formulations. Participants express interest in finding resources that utilize this mathematical framework extensively.
Discussion Character
- Exploratory
- Technical explanation
Main Points Raised
- One participant inquires about texts that cover classical mechanics, electrodynamics, and general relativity using tensors and geometry almost exclusively.
- Another participant questions whether there are texts on general relativity that do not heavily rely on tensors and geometry.
- A participant mentions having Carroll and Wald for general relativity but seeks resources for mechanics that employ a similar tensor-based approach.
- One suggestion is "Mathematical Methods of Classical Mechanics" by V. I. Arnold as a potential resource.
- Another participant recommends "Foundations of Mechanics" by Marsden, noting its heavy use of differential geometry and its availability for free.
- Additionally, "Introduction to Mechanics and Symmetry" by Marsden and Ratiu is mentioned as another relevant text.
- For electromagnetics, a participant suggests "The Formal Structure of Electromagnetics" by Post and mentions "Mathematical Foundations of Elasticity" by Marsden and Hughes, along with references to Rational Mechanics by Truesdell.
Areas of Agreement / Disagreement
Participants express varying interests in texts that utilize tensor and geometric approaches, but there is no consensus on specific recommendations beyond those mentioned. The discussion remains open with multiple suggestions provided.
Contextual Notes
Participants have not established a definitive list of texts, and the recommendations depend on individual preferences for the level of tensor and geometric content.