文档介绍:MATHEMATICAL PERSPECTIVES BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 44, Number 4, October 2007, contributions to mathematical education);
(ix) Good mathematical vision (. a long-range and fruitful program or set of conjectures);
(x) Good mathematical taste (. a research goal which is inherently interesting and impacts important topics, themes, or questions);
(xi) Good mathematical public relations (. an effective showcasing of a mathematical achievement to non-mathematicians or from one field of mathematics to another);
(xii) Good meta-mathematics (. advances in the foundations, philosophy, history, scholarship, or practice of mathematics);
(xiii) Rigorous mathematics (with all details correctly and carefully given in full);
(xiv) Beautiful mathematics (. the amazing identities of Ramanujan, results which are easy (and pretty) to state but not to prove);
(xv) Elegant mathematics (. Paul Erdös’ concept of “proofs from The Book”, achieving a difficult result with a minimum of effort);
(xvi) Creative mathematics (. a radically new and original technique, viewpoint, or species of result);
(xvii) Useful mathematics (. a lemma or method which will be used repeatedly in future work on the subject);
(xviii) Strong mathematics (. a sharp result that matches the known counterexamples or a result which deduces an unexpectedly s