# Indices for math texbooks/monographs

There are a number of mathematical books/monographs that do not have indices. In some cases, this is no huge deal; for instance, it is often easy to find something in Bourbaki using the table of contents. However, sometimes it can be incredibly frustrating. For instance, in Mumford's Red Book, if you want to know what it means for a prescheme to be a scheme (in more recent terminology, what it means for a scheme to be separated), you have to look in the section titled "The functor of points of a prescheme." Pedagogically, it works, but who would ever think to look there?

Thus, my "question" has two parts:

1) Are there any good resources (online or otherwise) that provide indices for such works as the Red Book?
2) Assuming the answer to 1) is no, could we, as an online community, produce such a resource in the answers to this question (which I am making a community wiki for this purpose)?

To try to jumpstart 2), in case the answer to 1) is no, I am including as an answer a partial index I have produced for the Red Book. This is also to show I am not asking others to contribute to something that I myself have not put time into.

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If we end up doing 2), and someone knows of a better place for it, please suggest it. In any case, I am aware that this is a somewhat experimental question and may get closed. –  Charles Staats Jun 10 '10 at 4:29
This is not quite what you're asking, but google books is very helpful here, since it has serchable copies of many indexless books. –  jeremy Jun 10 '10 at 4:36

Partial Index for Mumford's Red Book
[Note: page numbers followed by N indicate pages in the new edition, infamous for its typos.]

Associated point: III.2 (p. 147N)

Blow-up: III.3 (p. 159N)

Chow's Lemma: I.10 (p. 60N)

Examples: I: II: III: A, p. 142N; E, p. 155N; F bis, p. 164N; G, p. 171N; H, p. 185N; J, p. 195N; K, p. 199N; L, p. 202N; M, p. 207N; N, p. 208N; O, p. 211N; P, p. 217N

Hensel's Lemma: III.5 (p. 177N)

Geometric fibres: III.5 (p. 176N)

Jacobian criterion: III.6 (p. 185N)

Kahler differentials: III.1 (p. 142N)

Nagata Lemma: III.8 (p. 196N)
Nakayama's Lemma (geometric versions):III.2 (p. 152N)
Noether Normalization Lemma: I.1 (p. 2N)
-geometric form: I.7 (p. 42N)
-over ring R: II.8 (p. 129N)

Scheme (separated): II.6 (p. 118N)
Segre map: I.6 (p. 36N)
-Note: In III.8 (p. 203N), the Veronese map is incorrectly called the Segre map.

Veronese map: III.8 (p. 203N)
-cf. "Segre map"

$\Omega_{X/k}(x)$: cotangent space at $x$, III.4 (p. 169N)

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One could consider looking for a text-searchable format on Gigapedia (for instance, the second edition of the Red Book is available in djvu). Is there a better way to search than text-searching in an ecopy? Not to my knowledge.

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Oftentimes, the OCR is quite bad. –  Harry Gindi Jun 10 '10 at 5:36
I try not to use electronic resources of questionable legality. –  Charles Staats Jun 10 '10 at 13:37
If you own the book, then you have the right to download any electronic copy you want. –  Harry Gindi Jun 11 '10 at 9:45
Gigapedia does not exist. Please do not rock the boat. –  Anweshi Jul 26 '10 at 18:42