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How to Write Mathematics UK ed. Edition
Purchase options and add-ons
- ISBN-100821800558
- ISBN-13978-0821800553
- EditionUK ed.
- PublisherAmer Mathematical Society
- Publication dateDecember 1, 1973
- LanguageEnglish
- Dimensions6.25 x 0.25 x 9.25 inches
- Print length64 pages
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Product details
- Publisher : Amer Mathematical Society; UK ed. edition (December 1, 1973)
- Language : English
- Paperback : 64 pages
- ISBN-10 : 0821800558
- ISBN-13 : 978-0821800553
- Item Weight : 3.99 ounces
- Dimensions : 6.25 x 0.25 x 9.25 inches
- Best Sellers Rank: #2,289,497 in Books (See Top 100 in Books)
- #6,496 in Mathematics (Books)
- #98,310 in Unknown
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That said, the collection has some very good content. Steenrod draws a clear distinction between formal and informal content, addressing important issues of global and local organization for each. Halmos' essay is by far the most thorough, covering everything from content to audience to organization and writing (he advocates an interesting O(n^2) "spiral" writing algorithm) to fine points of language and symbolism. Schiffer examines differences between several types of expository writing: research paper, monograph, survey, and textbook. Dieudonné's essay is the only disappointment, consisting of three short paragraphs of remarks about the previous articles. Could he not have bothered to develop his own thoughts in a little more detail? Or perhaps provide some insight into his own writing process for masterful works like the Bourbaki texts or his Treatise on Analysis? A wasted opportunity.
I don't think these essays really belong in the same book. But the essays (aside from Dieudonné's) are good, and the book conveniently collects them, so for that reason I recommend the book.
The essays were written independently and this shows in the overlap and the contradictions. Whereas I have been highly critical of multi-author books in the past, the approach seems to work in this collection. Recalling my own efforts in writing a book on a topic within another field, I found myself agreeing or disagreeing with the authors on the various points. I was relieved to note that as early as at least three decades ago, authors before me shared identical conflicts with editors and copyreaders.
Based on my limited experience in writing, I had developed a number of half-formed rules of thumb. Given the recommendations of writers more experienced than I as so boldly presented, I am likely to be more aggressive in applying these rules. I would recommend this book to those authors with at least a few writing efforts under their belts. Given the specific nature of the examples in the essays, however, it is likely that only mathematicians will fully appreciate this book.