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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2
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0answers
37 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 ...
2
votes
0answers
27 views

How to read Spectral Theory of Graphs

My background is a course is Linear Algebra -Hoffman,Kunze Graph Theory-Clark. I am reading Spectral Theory of Graphs. My professor has asked me to start from the book Spectra of Graphs by ...
1
vote
1answer
56 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 ...
2
votes
2answers
43 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 ...
0
votes
2answers
67 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
votes
0answers
23 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 ...
6
votes
0answers
83 views

Algebraic topology needed for knot theory

Both Rolfsens Knots and Links and Lickorish knot theory require some knowledge of algebraic topology, what is a resource that covers the bare minimum I need to get through either of these? I am not ...
0
votes
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 ...
2
votes
1answer
27 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 ...
3
votes
4answers
87 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 ...
1
vote
1answer
43 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
vote
1answer
32 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
votes
2answers
134 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
vote
1answer
65 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 ...
3
votes
1answer
74 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
vote
2answers
93 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 ...
0
votes
0answers
23 views

Compare two MathML equations, expression etc

We have to develop a system where students can enter their answers for problem and system must check it with correct answer. Could you suggest any resources to solve this problem. It might be any ...
1
vote
0answers
14 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 ...
4
votes
0answers
73 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
votes
0answers
60 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
39 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. ...
0
votes
0answers
13 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.
0
votes
0answers
26 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 ...
0
votes
0answers
18 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
votes
1answer
58 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 $f(x)$) ...
0
votes
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
votes
0answers
84 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 ...
3
votes
3answers
123 views

Calculus book for computer science students

I'm going to teach calculus I and II to undergraduate computer science students and I would like to know if someone here knows some book or site with easy calculus applications in computer science. ...
2
votes
0answers
58 views

Find positive integer $x$, $y$, $z$ such that $2x^{2x}-1=y^{z+1}$

Find all positive integer $x$, $y$, $z$ such that $2x^{2x}-1=y^{z+1}$ I have tried to use LTE lemma but it didn't work. I think my problem is $z+1$. I can not control it. When I use LTE lemma, the ...
-1
votes
2answers
71 views

How to learn cryptography [duplicate]

I have just started learning Cryptography.I looked on the Wikipedia and found topics like "Public key Cryptosystem","Symmetric Cryptography" ,"Cryptanalysis" etc. Below this in the reference section ...
4
votes
3answers
167 views

Online materials for self studying introductory abstract algebra

I am interested in trying to self study intro abstract algebra this summer, but I am feeling that just using books may not be the best. I am interested to know if anyone has links to any free lectures ...
0
votes
0answers
26 views

Looking for resources on these topics from Linear Algebra

I am looking for Characteristic roots and characteristic vectors of a linear transformation or of a matrix, Algebraic and Geometric multiplicity of a characteristic value, Cayley-Hamilton theorem, ...
-3
votes
3answers
70 views

is there an online tool for solving equation of a line? [closed]

I have as input two points. But the input points contain variables (constant references). I've seen some tools online but they require numeric values. The two given points are specified by constant ...
4
votes
1answer
119 views

Any online videos on a course taught from Munkres?

Are there any videos available on the Internet --- for watching online or for download --- of any (general) topology course taught using the book Topology by James R. Munkres, 2nd ed? If so, please ...
0
votes
0answers
53 views

Books for Real analysis similar to or having same essence like Charles Pinter Abstract algebra

I am looking for book which is similar to spirit of pinter's book mentioned in question that is which is suitable for self study and beginners. Can anyone recommend? Thanks
1
vote
1answer
79 views

Does anybody know a good introduction to homology?

Essentially what the title says. I need something that will give me a decent introduction into homology theory. I don't need too deep of an understanding, just enough to get through a paper I'm ...
2
votes
0answers
36 views

A sheet of formulas for practical application of Integration?

does anyone know where I can find an organized formula sheet with formulas of the application of integration (triple and/or double integrals)? Like finding the center of mass of a solid and such. ...
3
votes
0answers
30 views

Books to help us to draw 3D pictures [duplicate]

I will begin to teach calculus and topology in a college and I would like to know if there are some books or sites which teach us to draw 3D pictures as torus, möbius band, etc. I saw some ...
0
votes
1answer
50 views

Need resources for difficult Algebraic Identites.

Where can I find all the algebraic identities and their proofs of following types, $a^3+b^3+c^3–3abc≡(a+b+c)(a^2+b^2+c^2–ab–bc–ca)$ $a^3+b^3+c^3–3abc≡ \dfrac12 (a+b+c)((a-b)^2+(b-c)^2+(a-c)^2$ ...
8
votes
1answer
197 views

What are some interesting blogs about general topology?

We have several question asking about book recommendations for general topology - for example the posts linked to Best book for topology? or the posts mentioned in the relevant section of List of ...
2
votes
2answers
38 views

Can the concept of congruence be applied to the remainder of a polynomial division?

I know this is a very simple question, so please I apologize but I am not familiar with it: Can the concept of (modular arithmetic) congruence be applied to the remainder of a polynomial ...
-2
votes
1answer
59 views

Website with possible closed forms of numbers

I encountered a website that had a large number of possible closed forms per a user number entry. It is not WA. I cannot locate it now. I had it saved before having to reinstall my browser. Anyone ...
0
votes
0answers
20 views

Correlation between ordinal variables

I want to know the correlations between 3 groups of variables which are oridinal (rating of 1 to 10). I have followed the formula on wiki and computed the Kendall tau-b correlation coefficients ...
1
vote
0answers
48 views

Comprehensive easy to understand resource for learning matrix decompositions?

I am working on my thesis which is widely depended on knowledge about matrix decompositions. I have studied linear algebra with the help of YouTube videos, MITOpenCourseWare videos and Prof.Gilbert ...
3
votes
1answer
84 views

Search for $C^{*}$ on MathSciNet

I am trying to search on MathSciNet for an article which contains $C^*$ in its title (as in $C^*$-algebras) however I can't figure out how to get MathSciNet not to interpret the '*' as a stand in for ...
5
votes
3answers
68 views

Any source for this formula?

I have never learned math through English as a medium of instruction, so my English math vocabulary is very poor. My problem: I had some data for different neighborhoods. For example: ...
6
votes
2answers
102 views

How do theorems arise?

I am reading complex analysis where I have come across Maximum Modulus Principle which states that if an analytic function $f$ assumes its maximum in a point of the domain $S$ then $f$ is constant ...
1
vote
1answer
71 views

Resources on exterior algebra, wedge product, geometric product and tensors

I would like to learn exterior algebra, wedge product and geometric product along with their applications in physics. Is there a good source you can recommend? Should I study differential geometry in ...
6
votes
2answers
104 views

Exploring $ \sum_{n=0}^\infty \frac{n^p}{n!} = B_pe$, particularly $p = 2$.

I was exploring the fact that $$ \sum_{n=0}^\infty \frac{n^p}{n!} = B_pe,$$ where $B_n$ is the $n$th Bell number. I found this result by exploring the series on wolframalpha and looking up the ...
0
votes
1answer
45 views

Conway polyhedra notation calculator?

I recently read about Conway polyhedra notation, and I want to experiment with it. Are there any programs that take the notation, and output a representation of the shape?