How to Write Mathematics: Proofs, Papers, and Problem Sets for Students

Stop losing marks you've already earned. You may understand the mathematics and still hand in a proof your grader cannot follow. How to Write Mathematics closes that gap. It shows students how to turn scratch work into clear proofs, full-credit problem-set solutions, and readable papers and theses. Inside, you'll learn how to: - unpack definitions, hypotheses, conclusions, and quantifiers; - choose and structure direct proofs, contradiction, contrapositive, induction, cases, existence, and uniqueness; - replace vague phrases like "clearly" with the detail a reader actually needs; - revise weak proofs through five complete before-and-after makeovers; - write problem-set and exam solutions that preserve partial credit; - build mathematical papers, abstracts, notation, figures, and references; >Written for undergraduates taking their first proof course, with useful guidance for engineering, physics, and early graduate students, this is a practical handbook for writing mathematics your reader can verify.