By Nicholas J. Higham
That mathematicians worth first-class writing turns into obvious while one considers the variety of expository writing prizes provided through their businesses and who has gained these awards. The instruction manual of Writing for the Mathematical Sciences deals a complete, specified presentation of the numerous parts a mathemetician or technical editor of mathematical papers needs to take care of from using dictionaries and thesaursus, via what makes for nice mathematical writing, kind, making displays, publishing, and lots more and plenty extra. in truth, it might probably attempt to hide an excessive amount of. This booklet is one to maintain convenient subsequent for your writing sector for simple reference.
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Here is another example of a different type: Being stiff, the Runge-Kutta routine required a large amount of CPU time to solve the differential equation. Here, the problem is that the noun immediately following "being" is not the one to which this participle refers. There are several ways to rewrite the sentence. One that preserves the emphasis is Because the differential equation is stiff, the Runge-Kutta routine required a large amount of CPU time to solve it. Certain participial constructions are idiomatic and hence are regarded as acceptable: Assuming G(x*) is positive definite, x* is a minimum point for F.
Bernstein  and Knuth [164, p. 11] both suggest the useful convention of capitalizing when the phrase following the colon is a full sentence. 10. 1 seem to be common in mathematical writing. The misspellings marked with an asterisk are genuine words, but have different meanings from the corresponding words in the left column. One Web page I visited describes "seperate" as the most common misspelling on the Internet and lose/loose as the second most common. Using the Web search engine Alta Vista I found one occurrence of "seperate" for every 24 occurrences of "separate".
An exercise in a textbook is a form of example. " To avoid such criticism, it is important to choose exercises and examples that have a clear purpose and illustrate a point. The first few exercises and examples should be among the best, to gain the reader's confidence. " Whether such criticism is valid depends on your opinion of what are the key issues to be transmitted to the reader and on the level of the readership. Again, it helps to bear such potential criticism in mind when you write. 4. " First, ask yourself why you are making a definition: is it really necessary?