The KAM Story (about the KAM theorem in dynamical systems) bills itself as “a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists … who are not experts in classical mechanics, and scientific-minded readers.” I found this book super helpfully written because it is written for people at exactly my level. There’s a glossary where definitions are given in mathematically formal terms, but not assuming that I already know all the background of the field. The text often refers to things quickly (and therefore efficiently) under the assumption that if I want to know more about it I can and will look it up.
The KAM Story (about the KAM theorem in dynamical systems) bills itself as “a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists … who are not experts in classical mechanics, and scientific-minded readers.” I found this book super helpfully written because it is written for people at exactly my level. There’s a glossary where definitions are given in mathematically formal terms, but not assuming that I already know all the background of the field. The text often refers to things quickly (and therefore efficiently) under the assumption that if I want to know more about it I can and will look it up.