Discussion Overview
The discussion revolves around the search for general textbooks on the properties and solutions of systems of partial differential equations (PDEs), particularly focusing on vector and tensor valued PDEs such as Maxwell's equations, Navier-Stokes equations, and equations related to elasticity and deformation of solids. Participants express a desire for resources that integrate these topics within a broader theoretical framework.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant seeks recommendations for modern textbooks that cover the general theory of vector and tensor valued PDEs, emphasizing the need for resources that connect various specialized topics.
- Another participant suggests a specific book but acknowledges that it may not meet the request for a more contemporary text aimed at graduate and postdoctoral mathematicians.
- A later reply reiterates the need for a book that does not focus on single, scalar valued PDEs, indicating prior knowledge in that area and a preference for texts that delve into vector valued systems.
Areas of Agreement / Disagreement
Participants generally agree on the need for more modern and comprehensive texts on vector and tensor valued PDEs, but there is no consensus on specific recommendations that meet all criteria outlined by the original poster.
Contextual Notes
Some limitations include the potential focus of suggested texts on scalar valued PDEs rather than the desired vector valued systems, as well as varying levels of assumed prior knowledge among participants.