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

By Steven G. Krantz

This ebook is ready writing within the expert mathematical surroundings. whereas the booklet is nominally approximately writing, it is also approximately how one can functionality within the mathematical career. in lots of methods, this article enhances Krantz's past bestseller, easy methods to educate arithmetic. those who find themselves acquainted with Krantz's writing will realize his vigorous, 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
– email etiquette
– All elements of publishing a magazine article

Krantz's frank and easy technique makes this e-book fairly appropriate as a textbook. He doesn't stay away from tricky subject matters. His motive is to illustrate to the reader easy methods to effectively function in the career. He outlines the way to write provide proposals which are persuasive and compelling, how you can write a letter of advice describing the examine talents of a candidate for merchandising or tenure, and what a dean is seeking in a letter of advice. He additional addresses a few easy concerns corresponding to writing a e-book notion to a writer or utilizing for a task. Readers will locate in interpreting this article that Krantz has produced a high quality paintings which makes glaring the facility and value of writing within the arithmetic occupation.

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

Sample text

Whenever possible, use singular constructions rather than plural. Consider the sentence Domains with noncompact automorphism groups have orbit accumulation points in their boundaries. First, such a construction is quite awkward: should it be “groups” or “group” ? More importantly, do all the domains share the same automorphism group, or does each have its own? Does each domain have several orbit accumulation points, or just one? Clearer is the sentence 30 CHAPTER 1. THE BASICS A domain with noncompact automorphism group has an orbit accumulation point in its boundary.

When you are finished writing the paper, you will have a complete, informal list of all your references. At that time, go to the library and find all the details. You will be able to do so in an hour or two of fairly relaxed work. Running back and forth to the library during the heat of writing passion is both counterproductive and a waste of time. If you are adept at using your computer, then you can cut through a lot of the tedium of assembling bibliographies. 5. Let me make a general remark about the writing process.

Some people choose to write it as “if, and only if,” — with two commas. That is perfectly grammatical, if a little stilted. One habit that is unacceptable (because it sounds artificial and is difficult to read) is to begin a sentence with this phrase. For instance, 28 CHAPTER 1. THE BASICS If and only if x is nonnegative, can we be sure that the real number x has a real square root. ^ That is a painful sentence to read, whether the reading is done aloud or sotto voce. Better is A real number x has a real square root if and only if x > 0.

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