A Primer of Mathematical Writing: Being a Disquisition on by Steven G. Krantz

By Steven G. Krantz

This e-book is set writing within the specialist mathematical setting. whereas the publication is nominally approximately writing, it is also approximately easy methods to functionality within the mathematical career. in lots of methods, this article enhances Krantz's prior bestseller, how one can train arithmetic. people who find themselves accustomed to Krantz's writing will realize his energetic, inimitable style.

In this quantity, he addresses those nuts-and-bolts issues:

– Syntax, grammar, constitution, and style
– Mathematical exposition
– Use of the pc and TeX
– e mail etiquette
– All elements of publishing a magazine article

Krantz's frank and simple method makes this booklet fairly appropriate as a textbook. He doesn't keep away from tough themes. His reason is to illustrate to the reader how you can effectively function in the career. He outlines how one can write provide proposals which are persuasive and compelling, the best way to write a letter of advice describing the examine skills of a candidate for merchandising or tenure, and what a dean is seeking in a letter of advice. He additional addresses a few simple concerns reminiscent of writing a booklet thought to a writer or utilising for a role. Readers will locate in interpreting this article that Krantz has produced a high quality paintings which makes obvious the facility and value of writing within the arithmetic career.

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Additional info for A Primer of Mathematical Writing: Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read, and Appreciated

Example text

All of a sudden, the author stops using the letter H to denote a subgroup and instead begins to use H to denote a biholomorphic mapping. Amazingly, this abrupt device actually works much of the time. But you should avoid it. If you can, use the same notation for a domain in Section 10 (or Chapter 10) of your work that you used in Section 1 (or Chapter 1). Try to avoid local contradictions— like suddenly shifting your free variable from x to y. Try not to use the same character for two different purposes.

He is fond of saying (informally) “What you need here is to cook up a function / such that . ” . Mathematicians of foreign extraction, who have been hearing him make this statement for years, have now developed the habit of saying “Take a function / . Now cook it for a while ... ” . It is a bit like having your children emulate (poorly) all your bad habits. A word to the wise should suffice. 9. 9 31 Pretension and Lack of Pretension Avoid the use of big words when small ones will do. Do not say “peregri­ nate” for “walk” , nor “omphaloskepsis” for “thought” , nor “floccinoccinihilipilificate” for “trivialize” unless the longer word conveys some important nuance that the shorter word does not.

Or, more precisely, Each continuous function has a maximum. ) As you proofread your work, you must learn to take the part of the reader (who is not a priori sure of what is being said) in order to weed out misused quanti­ fiers. • B revity Endeavor to formulate your thoughts briefly and suc­ cinctly. For example, you could say In point of fact, we devolved upon the decision to solicit opinions, form an enumeration, and produce a tally. * Such a sentence sounds mellifluous, sanguine, and high toned.

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