How Can I Get Better On Combinatorics? [closed]
I am currently using this textbook to study applied combinatorics: Applied combinatorics, 6th edition by Alan Tucker. However, I have a super hard time doing anything that deals with the addition...
View ArticleHeuristics for centrality measures?
Are there any ways to understand what a centrality measure is saying (outside of the node is central) for specific measures of centrality? For example, betweenness centrality can be thought of as how...
View ArticleHow does one do analytic number theory?
By this point in my math journey, I'm aware that there are a lot of different types of intuition in the subject. Like visual intuition that helps in subjects like geometry and even calculus. Or...
View ArticleCan we make algebraic structure into variety?
There are many different types of variety. Among them, I am studying algebraic variety. However, when creating a variety, is it possible to make the pure algebraic structure itself into a variety? In...
View ArticleWhat is name of := symbol?
I have never heard anyone refer to the ':=' symbol by its name. However, I am curious to know if it does indeed have a specific name.
View ArticleConferences dealing w/challenges of teaching higher level math to STEM audiences
I'm interested in knowing whether there are conferences that have, among other topics, the difficulty of teaching higher level mathematical concepts to folks with prior established skills in STEM,...
View ArticleUndergrad looking for study material/advice for applied mathematics.
I am an undergraduate math student (junior) who is looking to get a masters degree in Applied Math. I like pure math, but I want to use my education to get a great-paying job. Here are a few questions...
View ArticleIs general topology essential for applied mathematicians?
I am a second year undergraduate college student interested in applied math program. I hear a lot that general topology(e.g. the first half of Munkres' book Topology) is very useful, but is it really...
View ArticlePublication date of the book of Michael Spivak - Physics for Mathematicians II?
I bought the book "Physics for Mathematicians I" by Michael Spivak (http://www.amazon.com/Physics-Mathematicians-Mechanics-Michael-Spivak/dp/0914098322), have worked through quite some chapters and...
View ArticlePreparation for IMC and ICMC
I would like to compete next year for the IMC and ICPC competition.https://www.imc-math.org.uk/https://icmathscomp.org/I have a background in calculus, combinatorics, linear algebra etc, but not...
View ArticleWhere to start physics as a math phd [closed]
This question may be removed as it is too opinion based. I have a PhD in math and have a decent background in algebraic geometry, differential geometry, and representation theory. But I know zero...
View ArticleWhy does 3blue1brown use the "around a point" to describe a derivative?
In this article (which includes a link to the video version of the article as well), Grant Sanderson aka 3blue1brown describes a derivative. He says at the end of the passage headed "The Paradox",...
View ArticleIntuition behind picking group actions and Sylow
A common strategy in group theory for proving results/solving problems is to find a clever group action. You take the group you are interested in (or perhaps a subgroup), and find some special set that...
View ArticleWhat are some numbers that seem irrational/transcendental because of the way...
It is not known whether $\pi+e, \pi-e, \frac{\pi}{e}, etc$ are irrational, it has also been shown that at least one of the numbers $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ is irrational. From my point...
View ArticleWhy are quadratic residues more interesting than cubic residues?
There is a large theory of quadratic residues. As far as I know there is no comparably large theory of cubic residues or history of studying them. A search on this site finds hundreds of questions...
View ArticleWhat's so special about characteristic 2?
I've often read about things which do not work in a field with a characteristic $2$, mainly things which have to do with factoring, or similar things. I'm not exactly sure why, but the only example of...
View ArticleOrder of operations and allowance of shortcuts
Order of operations and the BODMAS are fundamental to all tenets of maths, but, in the interest of time-saving, can shortcuts be allowed, especially one when already knows the end result? Supposed I...
View ArticleAdvice on problem solving in mathematics [closed]
I am in need of some advice on how to improve my problem solving in mathematics.I have been taking calculus for a while now, and I have noticed something, I have never been able to actually come up...
View ArticleMath heavy programming challenge book.
I know how to code and some math. I love Project Euler because it combines both math and programming. Please recommend some math heavy programming challenge books as I can't seem to find any on...
View ArticleThe "essence" of a typical graduate course in complex analysis [closed]
It is probably just me, but for the life of me, I'm unable to boil complex analysis down to a few easily digestible principles that are more specific than "holomorphic functions are super nice". Yes,...
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