Timeline for Linear Algebra Texts?
Current License: CC BY-SA 2.5
44 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2019 at 1:03 | history | protected | Yemon Choi | ||
| Sep 4, 2019 at 0:38 | answer | added | Peter Polo | timeline score: 0 | |
| Apr 18, 2019 at 13:07 | answer | added | Peter Polo | timeline score: -2 | |
| Apr 16, 2019 at 20:40 | answer | added | Fernando | timeline score: 0 | |
| Apr 7, 2019 at 11:35 | review | Close votes | |||
| Apr 7, 2019 at 13:14 | |||||
| Aug 18, 2017 at 6:55 | answer | added | Mani | timeline score: 0 | |
| Jan 8, 2017 at 10:20 | answer | added | p Groups | timeline score: 1 | |
| Oct 1, 2016 at 6:39 | answer | added | user99154 | timeline score: 4 | |
| Jun 28, 2016 at 18:34 | answer | added | Pedro Lauridsen Ribeiro | timeline score: 3 | |
| Feb 18, 2016 at 9:20 | comment | added | Saikat | @MarkMeckes Can you tell me some books which introduce you to proof based Maths if you've already experienced proofs in, say a, discrete mathematics course ? | |
| Feb 17, 2016 at 22:57 | answer | added | Bizfold | timeline score: 2 | |
| Feb 16, 2016 at 23:32 | history | edited | user9072 |
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| Feb 16, 2016 at 23:27 | answer | added | Doug Plumb | timeline score: 0 | |
| Oct 9, 2015 at 4:16 | comment | added | isomorphismes | This isn't exactly what you asked for, but maybe answers your question. math.miami.edu/~ec/book does abstract and then linear algebra. That makes for a nice flow, perhaps nicer than matrices → vector spaces. It is also short; I think that makes it gentle. | |
| Mar 5, 2014 at 18:47 | answer | added | broccoli | timeline score: 1 | |
| Nov 2, 2013 at 1:15 | comment | added | Stefan | I would recommend against introducing vector spaces at the start. In a perfect world, all students would be skilled at and interested in math and this would be the right way to do it. But the world is not perfect, and if you do this, your students will dislike you and your course from the start. I would recommend starting with some matrix stuff, like solving systems of linear equations, multiplying matrices, and the like before you hit them with the abstract stuff. Then you can use some matrix/vector stuff as examples to help the students understand the abstract stuff. | |
| Oct 12, 2013 at 14:12 | review | Close votes | |||
| Oct 12, 2013 at 17:32 | |||||
| Oct 12, 2013 at 13:44 | answer | added | Richard Penney | timeline score: 6 | |
| May 30, 2012 at 9:25 | comment | added | Felix Goldberg | Well, there are good books on computational linear algebra, often called "numerical analysis". One example is Golub &Van Loan. But they are far too advanced to do beginning students any good. | |
| Sep 19, 2010 at 23:46 | vote | accept | Dan Ramras | ||
| Jul 8, 2010 at 13:43 | answer | added | Andrei Halanay | timeline score: 2 | |
| Jun 20, 2010 at 0:44 | answer | added | José Figueroa-O'Farrill | timeline score: 5 | |
| Jun 19, 2010 at 11:14 | comment | added | Harry Gindi | Mainly because computational linear algebra by hand is frustrating and pointless. | |
| Jun 19, 2010 at 10:28 | answer | added | Anirbit | timeline score: 7 | |
| May 23, 2010 at 1:46 | answer | added | Victor Protsak | timeline score: 26 | |
| May 23, 2010 at 1:33 | comment | added | Victor Protsak | While I've had precisely that experience on several occasions, do you $\textit{really}$ want to be hated for the whole semester, as opposed to only the second half? The reason why many (most?) recent books start with matrices and linear systems is that at least this way students will learn something in the first half, rather than giving up early and closing their minds under the onslaught of abstraction. | |
| May 23, 2010 at 0:23 | comment | added | Michael Hoffman | Why does no one go over applied linear algebra, or more, why is there no book that actually talks seriously about the computational end and about the theory. By computational end I mean the REAL computational end, that which is actually done on a computer or at least is the background to understand those algorithms. If there were a nice undergraduate version of Demmel then I'd defer to that book, but so far as I know such a book doesn't exist. If you're going to split linear algebra at all it would seem to be Theoretical Linear Algebra and Computational Linear Algebra | |
| May 22, 2010 at 19:01 | answer | added | hypercube | timeline score: 5 | |
| Apr 5, 2010 at 2:12 | answer | added | Vladimir Dotsenko | timeline score: 7 | |
| Mar 10, 2010 at 19:07 | comment | added | Harry Gindi | I'm curious what book you ended up picking. | |
| Mar 10, 2010 at 18:59 | answer | added | Jim Humphreys | timeline score: 15 | |
| Mar 10, 2010 at 18:14 | answer | added | The Mathemagician | timeline score: 13 | |
| Mar 4, 2010 at 20:31 | answer | added | Álvaro Lozano-Robledo | timeline score: 10 | |
| Mar 4, 2010 at 18:43 | comment | added | Dan Ramras | Hi Mark, I think there will be a range of students, mostly non-math majors, and all of them writing proofs for the first time. I feel convinced by now that Axler would not be the right choice. | |
| Mar 4, 2010 at 14:49 | comment | added | Mark Meckes | Regarding Axler, I just reread his introduction and was reminded that his book was written for a second course in linear algebra. He doesn't say what he envisions as the content of the first course, but I'd guess it would be mainly a course on matrix computations, which his book would then complement. | |
| Mar 4, 2010 at 14:47 | comment | added | Mark Meckes | Dan, it might be helpful to know what the audience for your class is. Are the students math majors or not? Have they had proof-based math already or not? In particular, some textbooks are written with the assumption that students are working with proofs for the first time and try to ease the transition; some assume students are already completely comfortable with proofs; and some don't care about proofs at all and just aim to show how to do calculations, like a typical calculus book. | |
| Mar 4, 2010 at 9:42 | history | edited | Charles Stewart |
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| Mar 3, 2010 at 20:27 | comment | added | babubba | I actually learnt (some) ancient greek in high school and found it interesting. In my first they also introduced abstract vector spaces from the start, and I still firmly believe it's the right way to do it. I second Lang's book on linear algebra. For a general algebra course instead I strongly vote for Aluffi's Algebra Chapter 0. | |
| Mar 3, 2010 at 20:16 | answer | added | Franz Lemmermeyer | timeline score: 22 | |
| Mar 3, 2010 at 20:00 | answer | added | user1437 | timeline score: 2 | |
| Mar 3, 2010 at 19:58 | answer | added | none | timeline score: 25 | |
| Mar 3, 2010 at 19:42 | answer | added | Andrea Ferretti | timeline score: 4 | |
| Mar 3, 2010 at 19:21 | answer | added | Harry Gindi | timeline score: 24 | |
| Mar 3, 2010 at 19:14 | history | asked | Dan Ramras | CC BY-SA 2.5 |