This feels like newer version of "Elements Of Applied Mathematics" by YA. B. Zeldovich, A. D. Myskis [1]. That book title is somewhat misleading as it is not about Applied Mathematics in modern sense, but is rather about how to apply math to solve various problems in physics.
And this is exactly what Michael Stone and Paul Goldbart did in their book as well, albeit their book is more dense/stricter and cover more advanced topics like differential geometry.
And this is exactly what Michael Stone and Paul Goldbart did in their book as well, albeit their book is more dense/stricter and cover more advanced topics like differential geometry.
[1] - https://archive.org/details/ZeldovichMyskisElementsOfApplied...