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
53 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
12 views

Getting Started in Bayesian Statistics [duplicate]

I want to start learning about Bayesian statistics. What resources would you recommend? If possible, I think for future readers it would be helpful if answers could be broken up into (1) overview ...
1
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0answers
54 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
votes
1answer
30 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 ...
2
votes
1answer
42 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
votes
1answer
31 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
41 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 ...
0
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0answers
11 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
86 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
130 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 ...
0
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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
52 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
vote
1answer
22 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
votes
2answers
156 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
45 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
votes
6answers
114 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
votes
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, ...
0
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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
votes
1answer
83 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 ...
1
vote
1answer
63 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 ...
3
votes
2answers
62 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
votes
0answers
58 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
votes
2answers
81 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
97 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
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
votes
4answers
102 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
44 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
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
votes
2answers
150 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
80 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
127 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
103 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 ...
4
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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
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
40 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
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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
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0answers
30 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
19 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
74 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
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 ...
3
votes
3answers
205 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
59 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 ...
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votes
2answers
77 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
185 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
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0answers
28 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
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3answers
74 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 ...