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

By Steven G. Krantz

This e-book is set writing within the specialist mathematical surroundings. whereas the booklet is nominally approximately writing, it is also approximately how you can functionality within the mathematical occupation. in lots of methods, this article enhances Krantz's prior bestseller, tips on how to train arithmetic. people 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
– e mail etiquette
– All facets of publishing a magazine article

Krantz's frank and simple process makes this ebook really compatible as a textbook. He doesn't keep away from tricky themes. His cause is to illustrate to the reader how you can effectively function in the career. He outlines the best way to write provide proposals which are persuasive and compelling, the right way to write a letter of advice describing the examine talents of a candidate for promoting or tenure, and what a dean is seeking in a letter of advice. He extra addresses a few simple concerns comparable to writing a e-book idea to a writer or using for a role. Readers will locate in studying this article that Krantz has produced a high 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

Sample text

No problem so far, but suppose that you are a complex analyst, and use i to denote a square root of —1. And now suppose that this last i occurs in some of your sequences and series. You can see the difficulties that would arise. A little planning can help with this problem, though in the end it may involve a great deal of tedious work to weed out all notational ambiguities. CHAPTER 1. THE BASICS 26 Many a budding mathematician is seduced by mathematical nota­ tion. There was a stage in my education when I thought that all of mathematics should be written without words.

The word “connote” , rarely used in mathematical writing, can be (but should not be) confused with “denote” . The dictionary teaches us that “A connotes B ” means that A suggests B, but not in a logically direct fashion. 11. ESSENTIAL RULES OF GRAMMAR 39 To a young man, “love” connotes flowers, beautiful mu­ sic, and happiness. is an appropriate use of the word “connote” . • I f vs. Whether The words “if” and “whether” have differ­ ent meanings, and are suitable for different contexts. Follow the example of master editor George Piranian: Go to the window and see whether it is raining; if it is raining, then let Fido inside.

THE BASICS 26 Many a budding mathematician is seduced by mathematical nota­ tion. There was a stage in my education when I thought that all of mathematics should be written without words. I wrote long, convo­ luted streams of V, 3, 3 :, =>, = , and so forth. This style would have served me well had I been invited to coauthor a new edition of Principia Mathematica (see [WR]). In modern mathematics, however, you should endeavor to use English— and to minimize the use of cumber­ some notation. Why burden the reader with Vx3y, x > 0 => y2 = x ^ when you can instead say Every nonnegative real number has a square root.

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