By Steven G. Krantz

ISBN-10: 0821806351

ISBN-13: 9780821806357

This publication is set writing within the specialist mathematical setting. whereas the e-book is nominally approximately writing, it is also approximately how one can functionality within the mathematical occupation. in lots of methods, this article enhances Krantz's past bestseller, the way to educate arithmetic. people who are accustomed to Krantz's writing will realize his full of life, 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 procedure makes this e-book relatively compatible as a textbook. He doesn't stay away from tough subject matters. His rationale is to illustrate to the reader how you can effectively function in the occupation. He outlines the best way to write provide proposals which are persuasive and compelling, the best way to write a letter of advice describing the study talents of a candidate for advertising 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 concept to a writer or using for a role. Readers will locate in interpreting this article that Krantz has produced a top quality paintings which makes obtrusive the ability and importance 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

CHAPTER 1. THE BASICS 16 suffers from giving names to the metric space, its superspace, the func­ tion, and the target space, and then never using any of them. Slightly better is Let X be a compact metric space. If / is a continuous, real-valued function on X then / assumes both a maximum and a minimum value. Better still is A continuous, real-valued function on a compact metric space assumes both a maximum value and a minimum value. The last version of the statement uses no notation, yet conveys the message both succinctly and clearly.

An alternative form, not with universal appeal (but better than beginning a sentence with “if and only if” ) is Nonnegative real numbers, and only those, have real square roots. The neologism “iff” , reputed to have been popularized by Paul Halmos, is a generally accepted abbreviation for “if and only if” . This is a useful bridge between the formality of “if and only if” and the convenience of “if” . Word order can have a serious, if subtle, effect on the meaning (or at least the nuance) of a sentence.

An alternative form, not with universal appeal (but better than beginning a sentence with “if and only if” ) is Nonnegative real numbers, and only those, have real square roots. The neologism “iff” , reputed to have been popularized by Paul Halmos, is a generally accepted abbreviation for “if and only if” . This is a useful bridge between the formality of “if and only if” and the convenience of “if” . Word order can have a serious, if subtle, effect on the meaning (or at least the nuance) of a sentence.

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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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