A Primer of Mathematical Writing: Being a Disquisition on - download pdf or read online

By Steven G. Krantz

ISBN-10: 0821806351

ISBN-13: 9780821806357

This ebook is set writing within the specialist mathematical surroundings. whereas the publication is nominally approximately writing, it is also approximately tips to functionality within the mathematical career. in lots of methods, this article enhances Krantz's past bestseller, how one can train arithmetic. those people who are 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
– e mail etiquette
– All features of publishing a magazine article

Krantz's frank and easy method makes this ebook relatively appropriate as a textbook. He doesn't stay away from tough themes. His reason is to illustrate to the reader tips to effectively function in the career. He outlines tips on how to write provide proposals which are persuasive and compelling, tips on how to 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 booklet idea to a writer or using for a task. Readers will locate in analyzing this article that Krantz has produced a top quality paintings which makes obvious the facility and importance of writing within the arithmetic career.

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

Sample text

That is one of the goals of good writing. Mathematical notation is often so elegant and compelling that we are tempted to overuse, or misuse, it. ” ). By contrast, the phrase Every real, nonsquare x < 0 ... ^ is objectionable. The reason is that it isnot clear, on a first reading, what is meant. Are you saying that “Every real, nonsquare x is nega­ tive” or are you saying “Every real, nonsquare x that is less than zero has the additional property ... ” . By strictest rules, the notation < is a binary connective.

An aspect of writing that is peculiar to mathematics is the use of notation. Without good notation, many mathematical ideas would be difficult to express. With it, our writing has the potential to be elegant and compelling. A common misuse of notation is to put it at the beginning of a sentence or a clause. For example, Let / be a function. / is said to be semicontinuous if ... * and For most points x, x € S. * Even in these two simple examples you can begin to apprehend the problem: the eye balks at a sentence or clause that is begun with a symbol.

In other words, the hypothesis about / is part of what needs to be proved. Sometimes you need to write a sentence that treats a word as an object. Here is an example: We call r the fundamental solution for the partial differen­ tial operator L. We use the definite article “the” because, suitably normalized, there is only one fundamental solution. I have oversimplified the mathematics here to make a typographical point. First, when you define a term (for the first time), you should italicize the word or phrase.

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A Primer of Mathematical Writing: Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read, and Appreciated by Steven G. Krantz

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