Comments on: Getting back to higher math
http://ask.metafilter.com/257562/Getting-back-to-higher-math/
Comments on Ask MetaFilter post Getting back to higher mathFri, 21 Feb 2014 19:03:39 -0800Fri, 21 Feb 2014 19:32:42 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Question: Getting back to higher math
http://ask.metafilter.com/257562/Getting-back-to-higher-math
I'd like book/course suggestions to do a slow gentle study of higher Math by myself. I did a bachelor's degree in Math (and Economics) several years ago by myself as an external course (from the Univ of London and LSE), on the side of a whole lot of other things. I did reasonably well, enjoyed parts of it very much, but I've forgotten most of it now. I taught high school Math for a couple of years after that but now work in a totally different field (communication design). I love my work, but miss the brainwork Math required. I'd also like to slowly internalise more Math vocabulary and the structure of the subject, which didn't happen during my Bachelors. <br /><br /> I'd be especially happy with a sort of gentle book that doesn't plunge too deep right at the start. I loved number theory and my entire abstract math course when I studied it. After a certain point, advanced calculus threw me off a little, but I didn't have enough time to study it thoroughly at that point.post:ask.metafilter.com,2014:site.257562Fri, 21 Feb 2014 19:03:39 -0800miaowmathematicsstudyBy: leopard
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3742708
Some broad book recommendations:<br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/0691118809/metafilter-20/ref=nosim/">Princeton Companion to Mathematics</a><br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/0486409163/metafilter-20/ref=nosim/">Mathematics: Its Content, Methods, and Meaning</a><br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/3642008550/metafilter-20/ref=nosim/">Proofs from the Book</a><br>
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There are number of cheap Dover paperback classics that may be good for self-study (the Mathematics: Content-Methods-Meaning book above is also in this category), for example:<br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/0486682528/metafilter-20/ref=nosim/">Number Theory</a><br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/0486663523/metafilter-20/ref=nosim/">Introduction to Topology</a><br>
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<a href="http://www.amazon.com/exec/obidos/ASIN/0486474178/metafilter-20/ref=nosim/">A Book of Abstract Algebra</a></a>comment:ask.metafilter.com,2014:site.257562-3742708Fri, 21 Feb 2014 19:32:42 -0800leopardBy: klausman
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3742710
How many years ago are we talking? I thinkthat might help with the suggestions.comment:ask.metafilter.com,2014:site.257562-3742710Fri, 21 Feb 2014 19:33:39 -0800klausmanBy: oonh
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3742713
This is mostly random (and probably overkill):<br>
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Read the <a href="http://arxiv.org/">arxiv</a>'s new math section regularly.<br>
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Train yourself to look at the <a href="http://oeis.org/">On-Line Encyclopedia of Integer Sequences</a> whenever possible.<br>
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<a href="http://stacks.math.columbia.edu/">the Stacks project</a><br>
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Flajolet's <a href="http://algo.inria.fr/flajolet/Publications/books.html">Analytic Combinatorics</a> is a brilliant exposition about generating functions and combinatorics<br>
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the NIST's <a href="http://dlmf.nist.gov/">Digital Library of Mathematical Functions</a> is worth looking at (it's the successor to <a href="http://people.math.sfu.ca/~cbm/aands/">Abramowitz and Stegun</a>)<br>
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Look at John Baez's archived <a href="http://math.ucr.edu/home/baez/twf.html">This week's finds in mathematical physics</a> column.<br>
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Elias Wegert's <a href="http://www.springer.com/birkhauser/mathematics/book/978-3-0348-0179-9">Visual complex functions</a> talks about phase portraits in the complex plane.<br>
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Alan Hatcher's <a href="http://www.math.cornell.edu/~hatcher/AT/ATpage.html">Algebraic Topology</a> is a good introduction.<br>
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And <a href="http://math.stackexchange.com/">math.stackexchange.com</a> and <a href="http://mathoverflow.net">mathoverflow</a> are good places to ask questions.comment:ask.metafilter.com,2014:site.257562-3742713Fri, 21 Feb 2014 19:35:51 -0800oonhBy: miaow
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3742717
I finished my degree 4 years ago, if that helps. But as I said, I was a part-time student, and quite preoccupied with other things. <br>
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(thanks for the suggestions so far!)comment:ask.metafilter.com,2014:site.257562-3742717Fri, 21 Feb 2014 19:41:01 -0800miaowBy: bluefly
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3742969
I've always loved<a href="https://openlibrary.org/books/ia:understandingana00abbo_860/Understanding_analysis"> Understanding Analysis by Stephen Abbott</a>. It's geared towards undergraduate students taking their first real analysis or advanced calculus class, and it's wonderfully written. There's often a nice tidbit of historical motivation for the material. It's maybe slightly less rigorous than a real real analysis textbook would be, but since this is for self-study, that's probably ok.comment:ask.metafilter.com,2014:site.257562-3742969Sat, 22 Feb 2014 09:12:43 -0800blueflyBy: Dr Ew
http://ask.metafilter.com/257562/Getting-back-to-higher-math#3743119
At least 3 generations of British engineers are indebted to <a href="http://www.timeshighereducation.co.uk/news/method-is-more-than-the-sum-of-its-parts/150737.article">K.A.Stroud</a>. Don't be out off that the titles are <a href="http://www.palgrave.com/stroud/"><em>engineering</em> mathematics</a>, look at the contents list for the topics you want. They are unbeatable for self study.comment:ask.metafilter.com,2014:site.257562-3743119Sat, 22 Feb 2014 15:06:50 -0800Dr Ew