The result was delete. Sandstein 06:31, 29 April 2011 (UTC) reply
This article, while ostensibly about the "subject" of Non-Newtonian calculus, is in actuality about a non-notable mathematics text book Non-Newtonian Calculus, written by Grossman (the primary author of the article as well) and Katz. This book, published in the 1970s, receives only 19 Google scholar citations. Of these, five are self-citations. The "reviews" referenced in the article—those that actually are reviews—are mostly of the kind that any reliably published serious mathematics textbook would have. MathSciNet and Zentralblatt routinely review most new books and paper that they index, for instance. The Mathematics Gazette routinely publishes very short reviews of items likely to be of interest to its readers. These in no way distinguish the book from other books of its kind. Many of the remaining "reviews" listed in the overlong "Citations" section just show that the book appeared in some list. One is even a link to a Google books search (which, ironically, doesn't even have a user review associated with it), and at least the few others that I checked have about as little content. It is clear that, if this book were a truly notable scholarly reference, that more people would have noticed it by now, and it would have a much higher Google citation count. It is not unusual for truly well-known books in this field to have thousands of citations. So I suggest that we not be fooled here by the routine reviews that basically every mathematics book receives, and focus on the question of what distinguishes this book from the thousands of other mathematics books that are published each year. I'd say not much. Sławomir Biały ( talk) 14:33, 21 April 2011 (UTC) reply
Later during the AfD I tried Google scholar. This produced a more extensive list of articles, all but one of which were by the Grossmans and Katz (in various combinations). It also produced lists of books received (which does not establish notability), a review, and advertisements apparently placed by the authors. That is, I found only one non-self-citation to this book in the almost 40 years since the book was published.
Since then, User:Smithpith (who has in the past stated that he is Michael Grossman) has tracked down many more citations. The article lists innumerable "mentions" or "reviews" of the book. The citations that would establish notability, however, are citations in papers. I picked one at random to look at: David Baqaee, "Intertemporal choice: a Nash bargaining approach", Reserve Bank of New Zealand, Research: Discussion Paper Series, ISSN 1177-7567, September 2010. The only place Grossman and Katz's book is mentioned is on page 17 (page 19 of the PDF), where the author writes: "Alternatively, one could use the notion of a 'product integral' to define the weighted Nash product (see, for example, Grossman and Katz (1972) for more information)." Product integrals have a history going back to Vito Volterra in 1887; the way I read that sentence, Grossman and Katz are being cited here as expositors, not as researchers. It is possible to have a notable expository book, but the book seems intended as a research monograph.
Are all the references like that? I am not sure. If most of them are, then any article on the book would have to present it as notable exposition, not notable research; but one would expect a notable research monograph to be cited as research, not as exposition. Perhaps someone with more patience than me will investigate the quality and kind of citations the book has gathered. Myself, I expect a notable 40-year old book to have more references. Good 40-year old mathematical books or papers have hundreds of citations. It's possible that this could change, but as always, WP:CRYSTAL; we don't have articles on the "next big thing" until that thing is actually notable. I don't think the book Non-Newtonian calculus is notable now, and I don't think it'll ever get there. Ozob ( talk) 11:20, 22 April 2011 (UTC) reply