Which mathematics book would you wish theoretical physicists had read? It is a well-known phenomenon that mathematicians and physicists working on closely-related topics (say in gauge theories, or in general relativity etc.) generally approach the problems from very different angles and often have trouble understanding each other.
In this light, which book(s) do you wish theoretical physicists working on topics intersecting your own research area had read so they could more readily appreciate your work and/or more easily explain their own work to you in terms accessible to you?
To avoid this being opinion-based, please explain what essential concepts or techniques the theoretical physicist would learn from this book(s).
 A: Quantum theory is an application of generalized probability theory (i.e., quantum logic). The most detailed introduction to this approach is: "Geometry of Quantum Theory", by V. S. Varadarajan
https://smile.amazon.com/Geometry-Quantum-Theory-V-Varadarajan/dp/0387961240/ref=sr_1_3?crid=7P7GHVPJLJ95&dchild=1&keywords=varadarajan+quantum&qid=1600337321&sprefix=Varadarjan%2Caps%2C194&sr=8-3
A: Nakahara's Geometry, Topology and Physics.
It was chapter $10$ that allowed me to fully engage with connections on fibre bundles and the relationship to Gauge theories. The earlier chapters on Holonomy and de Rham Cohomology groups was instrumental in introducing these concepts from a Physics perspective for me in the early part of my PhD.
A: "Les tenseurs" by Laurent Schwartz. This is the best book on the subject and I often feel that physics books do not really make a good job at presenting tensors. Too bad it has no English translation.
A: I always thought spinors were treated in a quite obscure way in physics. In particular it's difficult to make sense of the Dirac adjoint $\bar \psi= \psi^\dagger\gamma_0$ of a spinor (take a look at the wikipedia entry if you don't believe me) until one reads
an introductory book on Clifford algebras, particularly one which emphasizes the non-Euclidean case and the natural metric on spinors, like for instance Garling's.
