Timeline for Reference request: Oldest linear algebra books with exercises?
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
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| Aug 25, 2019 at 23:06 | comment | added | Francois Ziegler | (Likewise Hüseyin Tevfik Pasha’s Linear algebra (1882, 1892) studies Grassmann-like products but not what we call linear maps between vector spaces: see Schubring (2007).) | |
| S Nov 15, 2018 at 2:44 | history | bounty ended | Squid with Black Bean Sauce | ||
| S Nov 15, 2018 at 2:44 | history | notice removed | Squid with Black Bean Sauce | ||
| Nov 15, 2018 at 2:44 | vote | accept | Squid with Black Bean Sauce | ||
| Nov 9, 2018 at 7:50 | comment | added | Francois Ziegler | @NoamD.Elkies One has to be careful that the phrase first arose in a different sense, in B. Peirce, Linear associative algebra (1870, 1882: §34). In the current sense, Weyl (1919, 1928) is the earliest I’ve seen. | |
| Nov 9, 2018 at 2:48 | comment | added | Igor Belegradek | Accounts of linear algebra already appeared in mid 18th century, e.g. Cramer's page book "Introduction a'Analyse des Lignes Courbes Algebriques" published in 1750 has an appendix on linear systems. See maa.org/sites/default/files/Kosinski.MathMag.2001.pdf. Bourbaki's "Elements of the History of Mathematics" has a section on linear algebra with a number of historical references. For Grassmann's contribution see maa.org/sites/default/files/pdf/upload_library/22/Ford/…. Also see worrydream.com/refs/Crowe-HistoryOfVectorAnalysis.pdf. | |
| Nov 8, 2018 at 20:40 | comment | added | Noam D. Elkies | Google Ngrams suggests that the phrase "linear algebra" originated in 1890 give or take a year but didn't start taking off until about 1920. | |
| Nov 8, 2018 at 20:26 | comment | added | kjetil b halvorsen | Once long ago I read an old book (1920's) about the history of determinants. It used consistently the matrix of a determinant, a sometimes useful way of writing an determinant. | |
| Nov 8, 2018 at 20:11 | answer | added | Carlo Beenakker | timeline score: 7 | |
| S Nov 8, 2018 at 19:31 | history | bounty started | Squid with Black Bean Sauce | ||
| S Nov 8, 2018 at 19:31 | history | notice added | Squid with Black Bean Sauce | Canonical answer required | |
| Nov 3, 2018 at 23:08 | comment | added | Francois Ziegler | @TimothyChow That sounds about right. Maybe Weyl (1928, p. 2)? R. Krömer’s thorough Zur Geschichte des axiomatischen Vektorraumbegriffs (2000; 190+ pages, 200+ references) quotes nothing earlier. | |
| Oct 29, 2018 at 12:46 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Oct 28, 2018 at 18:24 | comment | added | Timothy Chow | At one point I looked into the origin of the term "linear algebra." It appears to be a 20th-century coinage. Of course, much of the subject matter is very old, but it wasn't called linear algebra. For example there are old books on "matrix theory" but they don't cover exactly the same set of topics that we currently think of as "linear algebra," nor do they think of the subject as being about transformations of vector spaces over a field. So asking for pre-20th century "linear algebra" books may be somewhat anachronistic. | |
| Oct 28, 2018 at 11:17 | history | edited | Martin Sleziak |
added also (ho.history-overview) - this seems that it could be a suitable top-level tag for this question; http://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Oct 28, 2018 at 10:41 | history | edited | Martin Sleziak |
added the (books) tag - based on the tag-info it seems suitable here: https://mathoverflow.net/tags/books/info (Questions in which books play a key-role, such as questions on antique books, ...)
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| Oct 28, 2018 at 10:35 | answer | added | David Roberts♦ | timeline score: 8 | |
| Oct 28, 2018 at 5:57 | comment | added | Francois Ziegler | Also too broad and unclear what you’re asking. Grassmann is multilinear-algebra rather than linear. “Oldest clone of modern concept” is rarely the right attitude/question. “Original means and ends” of linear algebra are from outside linear algebra (Lagrange’s study of stability under small perturbations, see e.g. Hawkins (2013)). | |
| Oct 28, 2018 at 3:55 | review | Close votes | |||
| Nov 4, 2018 at 19:39 | |||||
| Oct 28, 2018 at 3:49 | comment | added | BigM | Absolutely not research level. I donwvoted it. And a few things: 1) Wolfram isnt a mathematician. He is famous for Mathematica.2) these radical ideas like if you want to learn .... read ... definitely not constructive.3) Im not sure if you'd like to learn history of math or linear algebra? There are a lot of great textbooks (e.g. Kunze's) Grassmann died over 100 years ago and math has developed a lot since then. | |
| Oct 28, 2018 at 2:40 | comment | added | darij grinberg | What exactly does Grassmann do that isn't properly covered in modern treatments? | |
| Oct 28, 2018 at 2:36 | history | asked | Squid with Black Bean Sauce | CC BY-SA 4.0 |