This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos an lectures, etc), or asking about the mathematics behind tools and technology found on the internet.

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1answer
23 views

Numerical analysis online video

Does anyone know a good on-line resource (preferably video) for numerical analysis(At the level of Atkinson or higher)? Thanks.
1
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1answer
55 views

Strange results in mersenne.org database

I am interested in GIMPS project. I was browsing through known Mersenne prime numbers when I discovered strange records in their database. For example, M6972593 is the 38th Mersenne prime. However, ...
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0answers
16 views

Solving infinite system of linear equations

I want recommendations for books,PDFs and so on that treat the problem of solving infinite system of linear equations. I'm not familiar with functional analysis, so I wish explanations that only ...
3
votes
1answer
56 views

Is there a searchable database of mathematical objects that you can search by property?

For example, I could search for functions that are continuous, but that don't have differentiability, and come up with a continuous non-differentiable function. Or a smooth but non-analytical function....
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0answers
46 views

Is there a site like Statistics.com for Mathematics? [closed]

If this isn't the appropriate Exchange for a question like this, I'll be glad to move it to one that is. I've recently signed up for some online courses at Statistics.com, to further my statistics ...
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0answers
9 views

Source proof of equivalence between relation algebra and three variable first order logic

I am reading up on relation algebra and a lot about first order logic. Being a bit of a heavy torsion on the latter one as I am not used to it. Either way I read on wikipedia that up to 3 variable ...
3
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1answer
57 views

Is content of Mathematical Atlas still available somewhere?

I have noticed that Mathematical Atlas website, which was maintained by Dave Rusin, no longer exists. (I am not sure how long ago this happened. The dates in the following paragraph suggest some time ...
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1answer
44 views

Good introduction to cohomology of spaces?

I'm trying to read chapter $3$ of Hatcher but I find it a bit difficult to read. I really only made it through the first two chapters because I had in-class lectures to go along with the reading. Does ...
1
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1answer
65 views

Review of Differential and Integral Calculus in 60 hours

Hopefully this question isn't too narrow. It is similar yet distinct from this: Calculus Review On The Web and this: What are some good resources to review basic university calculus, years later? I ...
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0answers
69 views

QFT for mathematicians

I have a graduate degree in mathematics, I want to learn enough QFT to understand whats going on in Wittens paper about QFT and the Jones polynomial. So I need some QFT and maybe Chern-Simons theory. ...
2
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1answer
36 views

General property of Fitting series

Let $G$ be a finite solvable group. $F(G)$ (Fitting subgroup) is defined to largest normal nilpotent group contained in $G$. Then $F_2(G)$ is defined to be inverse image of $F(G/F(G))$. i.e $F_2(G)/F(...
2
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1answer
45 views

Help finding paper from the 1920's

I have not been able to find a copy of this paper anywhere! B. Knaster еt C. Kuratowski: Sur quеlquеs propriétés topologiquеs dеs fonctions dеrivéеs. Rеnd. dеl Сirc. Math. di Palеrmo, 59 (1925), ...
2
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1answer
32 views

How to get from $\sum_{n=0}^N (a_n \cos{nx} + b_n \sin{nx})$ to $\sum_{-N}^{N} c_n e^{inx}$?

I'm currently reading Baby Rudin, and I'm in the section of Chapter 8 that covers Fourier series. There is one line that I just can't figure out for the life of me, and I can't find anything online ...
2
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0answers
46 views

Up-to-date Matrix Cookbook

My copy of the Matrix cookbook is dated November 15, 2012, and is the newest copy I've been able to find. Identities may not change overtime, but the approach to an error-free presentation can be ...
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0answers
13 views

Explain following Congruences in elementry way

While studding David M Burton I am felling difficulties with Linear Congruence is there any another way expertise this area (online resources). And how can I show that $21x \equiv 49\ (mod\ 10)$ can ...
5
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2answers
88 views

Good blogs for undergraduate mathematics? [closed]

I search some useful blogs talking about undergraduate and graduate mathematics, like terry tao So any suggestions? Thanks in advanced.
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2answers
139 views

Is there any undergraduate mathematics learning website like edx or coursera?

I want to take courses in mathematics of undergraduate level. But in edx or coursera they have only few undergrad math courses( only calculus or a little bit of algebra). There are no hardcore maths ...
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0answers
17 views

Source for Proof of Brun's Theorem?

I posted previously asking for advice on a paper I'm writing for a senior math class, and I have made a lot of progress. I have come to the point where I want to prove Brun's theorem and talk about ...
2
votes
1answer
58 views

Is there a plane filling function calculator online?

I recently read about the "Hilbert Curve" and found it very interesting. Does anyone know of a place online where I could extrapolate different shapes and explore this field of mathematics?
1
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1answer
25 views

Graph a function of two variables online, with the output rendered as color

Are there any online utilities to graph a function of two variables online, with the output rendered as color in some way (for example, red to green, black to white, hue, etc...) Wolfram Alpha comes ...
3
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2answers
171 views

How to become good in Mathematics? [closed]

I don't know if this is the right place to ask this question...but let's try.... I have seen lots of people all around me, interested in mathematics-ranging from teachers to friends.But,I have seen ...
1
vote
0answers
47 views

Are there any online sources/books that could help me further study set theory?

I would like to study set theory more intuitively. Searching the internet for this will only provide study for the basics of set theory (unions, intersections, etc.). There are topics I would like to ...
4
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6answers
136 views

Suggestion on a book on Measure Theory

I want a book on Measure Theory extremely for self study .I want the book to have the following features: Topics explained in detail.I don't want a book that writes one line and asks the reader to ...
3
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3answers
93 views

Can $e^{ax}$ be said to be the eigenfunction of the operator $\frac{d^{(n)}}{dx}$?

I'm gradually getting familiar with operators (as they are used in QM) and the terminology surrounding them, and I was wondering whether all the (to me) well-known operators have straight-forward, ...
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0answers
12 views

matrix optimization problem techniques

I'm looking for some resources on learning techniques commonly used in matrix optimization. For example, minimization of the Frobenius/nuclear/weighted norm of a function of a matrix subject to ...
2
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1answer
92 views

Proof of Bernoulli's' result on a construction to divide any triangle into four equal parts with two perpendicular lines.

I have been reading about Jacob Bernoulli and came across this particular contribution of his. Although I have tried my best to search proofs of this result I have had no success so far. Probably this ...
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1answer
64 views

What about $\lim_{x\to 1}\left(\zeta(x)-\frac{1}{x^x-1}\right)=1+\gamma$?

When I type 1 in the box lim x to, and zeta(x)-1/(x^x-1) in the box Function, of this online calculator (Wolfram Alpha) one has as output $$\lim_{x\to 1}\left(\zeta(x)-\frac{1}{x^x-1}\...
3
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2answers
76 views

Reference/Literature on Cantor Sets

I recently came across Cantor sets in my analysis course while doing a hw problem and find them extremely fascinating. I am trying to find other notes/literature on cantor sets with no success. I only ...
3
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0answers
59 views

Automatic solver of four-color theorem? [closed]

Does anyone know of an app/online tool to automatically colour any map or image using the 4-colour theorem? (Taking a Black and white image as input).
0
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2answers
86 views

What are some good resources to review basic university calculus, years later?

So, I have reason to be returning to school, many years (5+) after my last attendance; and although I took (and passed, barely, after much strife) Calculus 1 and 2 at my previous university, I am very ...
2
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0answers
24 views

where to find good review resources? [closed]

I am taking my certification test for secondary mathematics next month and I am extremely overwhelmed by the amount of stuff i need to brush up on. http://www.mttc.nesinc.com/PDFs/MI_field022_SG.pdf ...
0
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2answers
50 views

Are there resources for “derivations”?

Are there sites or resources that contain step-by-step derivations of mathematical expressions or concepts (e.g. the convolution integral) like it's done here https://en.wikipedia.org/wiki/Convolution#...
2
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1answer
29 views

Formal construction of line and surface integrals

I´m currently studying these topics, but I think that there is a lack of formalism in the books that I´m reading: Apostol vol 2; Marsden; Thomas vol 2. So I would really appreciate if you can ...
5
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4answers
104 views

Can you compute $\int_0^1\frac{\log(x)\log(1-x)}{x}dx$ more precisely than $1.20206$ and do a comparision with $\zeta(3)$?

I know from Wolfram Alpha that $$\int_0^1\frac{\log(x)\log(1-x)}{x}dx=1.20206$$ and in the other hand, too from this online tool that $$\int\frac{\log(x)\log(1-x)}{x}dx=\mathrm{Li}_3(x)-\mathrm{Li}_2(...
1
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1answer
46 views

For $n\geq 1$, $\sum_{k=0}^{\infty}\frac{(-1)^{k}(nk+1)^{3}}{(k+1)^6}$ in terms of $\zeta(3)$ and $\zeta(5)$ from a series calculator. Is possible?

I am doing experiments with this widget (Wolfram Alpha, a Series calculator, by HIghOPS) http://www.wolframalpha.com/widgets/view.jsp?id=86ceba9f35c96ebae137e44a36c7261a and take for Example. ...
1
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1answer
38 views

$u_t=u_{xx}+u$. How do you solve this partial differential equation?

Find all solutions of the form $u(x, t) = \phi(x−ct)$ (so called travelling waves) for the partial differential equation $$u_t = u_{xx} + u$$ I just had my first two lectures on partial ...
4
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2answers
163 views

Small version of the GAP-software or online tool available?

If I only want to calculate the number of groups of order $n$ for large $n$ , especially cubefree $n$ : Is there a small version available or an online calculator ? Or do I simply have to download ...
1
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1answer
81 views

How to find old papers on a particular topic?

When learning mathematics, I think it is better to learn the motivation and the purpose of a particular maths idea. I believe such things are best found in the original paper which proposes the idea. ...
3
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1answer
145 views

A book with True/False questions for abstract algebra

This may sound strange but I learn very well using true/false questions. I feel that they really test my understanding of theorems/properties. I also find them quite fun to do. However, I'm having a ...
1
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2answers
105 views

Floating point modulus precision (high multiple)

While looking at implementing floating point modulus in double-precision on an x86 CPU, I found the FPREM instruction and proceeded to test the practical precision in some cases, one being ...
1
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0answers
17 views

In-depth resources

How to learn mathematical topics in-depth? For instance, if you want to learn about Symmetry, you would use Google, you'll get results. Unfortunately, what you'll find is tutorials for beginners. But ...
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0answers
75 views

Best sources on complete transforms (classic orthonormal transforms) and overcomplete transforms in signal processing

In the introduction section of a thesis I read a little about classic orthonormal transforms such as Fourier, discrete cosine and wavelet transforms and their application in signal processing. Then ...
3
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0answers
61 views

What to do with java-based math demos? [closed]

A large volume of mathematical demos were written in Java. Then came security warnings of all sorts. Currently it does not seem viable to direct students to such demos. Do you think an organization ...
1
vote
1answer
45 views

Colleges that showcase their Calculus material online

since I will be creating a Calculus course, I am hoping to find Calculus material used in the best colleges across the globe as a reference. Lecture notes and exercise sheets are highly appreciated. ...
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0answers
14 views

Catalog of covering maps

Is there somewhere where I can find a list of covering maps including their base space and target space? Apart from standard examples found in notes and books I can't find much else.
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0answers
31 views

I need practice problems for convergence in probability concepts

I have been scouring the internet for some good practice problems dealing with convergence in probability concepts (almost sure, probability, and distribution), but I have alas found almost nothing ...
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0answers
20 views

Hadamard matice decomposition to sparce matrices

$H_2=\begin{pmatrix} 1 & 1\\1 & -1 \end{pmatrix}$ and $H_{2n}=H_2\otimes H_n$. I am looking for decomposition of $H_n$ to sparce matrices and its proof. Is there any good source to suggest ?
0
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1answer
76 views

Does a function ( $f(x)$ )is convex iff $f''(x)>0$?

May be it will be a stupid question, but I don't know when a function is convex. My documents from different resources tell me different answers. One of them told that a function (Example $f(x)$) is ...
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0answers
16 views

Looking for some good introductory level resources for Gibbs Sampling

In context of a course in bayesian modelling Im following, im looking for some good resources (videos, lecture slides, texts) about Gibbs sampling.
2
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0answers
92 views

Please guide me books and online materials for this course

I have recently taken Course on Numerical Analysis. It is correspondence course. So i to do self study. I will be glad if someone mentions online videos and elementary books which contains following ...