A Primer of Mathematical Writing

A Primer of Mathematical Writing provides guidance for mathematicians and students who need to communicate technical concepts through writing. The book covers fundamentals like grammar and style while addressing specialized needs in mathematical exposition. The text includes examples of both effective and problematic mathematical writing, with analysis of what works and what doesn't. Krantz draws from his experience as a journal editor and professor to address common challenges in writing proofs, theorems, and academic papers. The book contains practical sections on writing grant proposals, recommendation letters, and job applications specific to mathematical careers. Exercises throughout allow readers to practice applying the principles. This work emphasizes how clear writing enables the transmission of complex mathematical ideas across language and cultural barriers. The text demonstrates that precision in mathematical writing serves both the writer and the broader scientific community.

Readers appreciate the practical advice on writing mathematics papers, dissertations, and grant proposals. Many note the book provides clear guidance on proper notation, formatting equations, and organizing proofs. Several reviewers highlight the sections on proper citation practices and avoiding common writing mistakes. Criticisms focus on the book's formal tone and academic focus, with some readers finding it less relevant for non-academic mathematical writing. A few reviewers mention the dated technology references and publishing advice. Ratings across platforms: Goodreads: 4.1/5 (22 ratings) Amazon: 4.5/5 (11 ratings) Sample reader comments: "Finally explains why certain notation conventions exist" - Goodreads reviewer "Too focused on academic publishing, needs more examples for industry writing" - Amazon reviewer "The chapter on avoiding verbose proofs improved my thesis significantly" - Mathematical Association of America review "Worth reading just for the section on proper theorem formatting" - MathOverflow user

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📚 A Primer of Mathematical Writing (1997) • The author, Steven G. Krantz, has written more than 320 research papers and 130 books on mathematics and related topics. • This book was one of the first comprehensive guides specifically focused on mathematical writing, filling a crucial gap in academic publishing at the time. • The text addresses unique challenges mathematicians face when writing, such as properly formatting complex equations and maintaining clarity while using specialized notation. • Krantz developed many of the book's insights while serving as editor of several mathematical journals, including the Journal of Geometric Analysis. • The principles outlined in this book are now used in graduate-level mathematical writing courses at universities worldwide, including MIT and Stanford.