I found Project Origami: Activities for Exploring Mathematics in my university’s library the other day and quickly FUBAR’d (folded-up beyond all recognition) the couple sheets of paper I had with me at the time. I showed the book to a couple friends who have studied some topology, and we looked at one project with the […]

I took two classes of Probability, I did very well and was confident on the subject. Now I meet it again in my Combinatorial Algorithm course, and guess what? I feel completely blank again! I have to review all my notes, look for examples … even though I’ve already “solved” them thoroughly. I realize the […]

I appologize if this isn’t the place to ask, if it’s not could you let me know and I will take it to meta? Anyway, so I am planning on taking a mathematical analysis course next spring, and I’m really excited about it because it seems so interesting and fun. However, I know this will […]

General advice on PhD apps welcome Given my limited background in stochastic analysis and other information (below), can I apply for a PhD with stochastic analysis for my dissertation topic? 1/4 I am currently a masteral student of mathematical finance, expecting to graduate sometime this year. I am not particularly interested in mathematical finance anymore […]

I’m far from a mathematician, but the field I’m trying to break into (management consulting) requires a fair amount of mental arithmetic. I’m okay, but I’m not even close to as good as I need to be in terms of both speed and accuracy. I have math apps on my iPhone. I use online mental […]

Currently, my math training includes Calc 1-3, linear algebra, and some introduction to set theory/discrete math. What would you recommend that I study over summer in preparation for the Putnam? Real analysis, topology, abstract algebra (all of the above)? What would be the most pertinent? Thanks!

What books or broad survey articles survey the mathematics of the last 50-100 years? The ones I’ve read do a good job conveying mathematics from the ground up but typically assume a complete beginner or high school student audience and therefore reach only as far as the advanced undergraduate curriculum (middle of the 19th century). […]

I’m planning on taking the math GRE Subject Exam in April (~11 months from today). I want to start preparing now in the hopes of scoring in the 95+ percentile. I have already taken a number of graduate courses and really need to refresh on some of the lower level stuff so here’s my plan: […]

I am a maths student in my second year of university. I have taken and done quite well in Calculus I, II, III as well as a linear algebra (application focused) class. I have not worked much with proofs. My school’s course catalog lists Abstract Algebra as one of the next courses but suggests a […]

At some point in your life you were explained how to understand the dimensions of a line, a point, a plane, and a n-dimensional object. For me the first instance that comes to memory was in 7th grade in a inner city USA school district. Getting to the point, my geometry teacher taught, “a point […]

Intereting Posts

Proof of the relation $\int^1_0 \frac{\log^n x}{1-x}dx=(-1)^n~ n!~ \zeta(n+1)$
compact set always contains its supremum and infimum
$G_\delta$ set with the same Lebesgue outer measure
Show that every cyclic group is isomorphic to Z/nZ
How to show that $\lim_{n \to \infty} a_n^{1/n} = l$?
Mathematical notation around the world
Books like Grundlagen der Analysis in French
Prove that if $AB$ is invertible then $B$ is invertible.
Conjecture regarding integrals of the form $\int_0^\infty \frac{(\log{x})^n}{1+x^2}\,\mathrm{d}x$.
Integration and differentiation of Fourier series
how many semantically different boolean functions are there for n boolean variables?
Evaluate $ \sum\limits_{n=1}^{\infty}\frac{n}{n^{4}+n^{2}+1}$
How to compute the $n^{\textrm{th}}$ power of a matrix?
conversion of laplacian from cartesian to spherical coordinates
Is this alternative definition of 'equivalence relation' correct?