Writing Mathematical Papers in English

This booklet is intended to provide practical help for authors of mathematical papers. It is written mainly for non-English speaking writers but should prove useful even to native speakers of English who are beginning their mathematical writing and may not yet have developed a command of the structure of mathematical discourse. The first part provides a collection of ready-made sentences and expressions occurring in mathematical papers. The examples are divided into sections according to their use (in introductions, definitions, theorems, proofs, comments, references to the literature, acknowledgements, editorial correspondence and referee's reports). Typical errors are also pointed out. The second part concerns selected problems of English grammar and usage, most often encountered by mathematical writers. Just as in the first part, an abundance of examples are presented, all of them taken from actual mathematical texts. "The author has packed an awful lot in a few pages and has obviously been collecting his best (or worst) examples for a long time." Edwin F. Beschler. "The reviewer highly recommends this guide to authors as well as to editors in mathematics." O. Ninnemann, Zentralblatt MATH.