Covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively .
A Primer of Mathematical Writing by Steven George Krantz
While the book is nominally about writing, it's also about how to function in the mathematical profession. Krantz provides brief but helpful advice on writing a survey article, an opinion piece, a letter of recommendation, a book review, a referee's report, a talk, a grant application, a curriculum vitae, a job application, and email. He concludes his book with a chapter called 'The modern writing environment' which discusses the use of computers, TeX, spell checkers, etc.