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
votes
0answers
51 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 ...
3
votes
0answers
79 views

Looking for handy arithmetic tricks [on hold]

A few days ago my grandfather taught me a trick to make it easier to calculate squares of quintuples in decimal numbers. What he told can be expressed in this way: $$ (10n+5)^ 2\quad = \quad ...
5
votes
3answers
56 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: ...
7
votes
2answers
73 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
46 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
84 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
18 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?
0
votes
2answers
69 views

Online service for completing the square

Is there any online service for completing the square? For example:
0
votes
1answer
20 views

A website that determines whether there is a solution to a set of equations

Does anyone know a website that determines whether there is a solution to a set of equations? For calculus I like to use derivative calculators to see whether my answers are correct and I would to do ...
1
vote
0answers
17 views

How to know one book whether has an English version?

I want to find the English translation of Vorlesungen über nicht-euklidische Geometrie written by Klein. Thanks.
0
votes
0answers
60 views

Number of non-isomorphic groups of order $n$

$G$ is a group of order $n=p_1p_2....p_k$ then how to find the number of non-isomorphic groups of order $n$ where $p_i's$ are distinct primes I can find the number of number of non-isomorphic ...
0
votes
1answer
57 views

Properties of convolutions w.r.t. continuity and partial differentiability

Is there some good summary of properties of convolutions available out there? I'm interested in continuity and partial differentiability topics, like, when exactly do we have $f*g$ is continuous at ...
0
votes
2answers
69 views

Need to create latex document. [closed]

I am an undergrad and currently doing my first research project. I was wondering if anyone has a recommendation of a good latex software to use. I downloaded TexWorks but I am having a hard time ...
0
votes
1answer
69 views

What are the prerequisites for learning abstract algebra?

Well, I want to learn abstract algebra. So, I get across this http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra. But I'm not sure whether I've understanding of prerequisites ...
0
votes
0answers
18 views

Video lecture on multivariate analysis?

Preferably covering the second half of Rudin's Principles of Mathematical Analysis. I've been looking for such a course within my university but couldn't find it. Does anyone know of any decent video ...
1
vote
2answers
251 views

Stochastic Processes Solution manuals.

Does anyone have a link or a pdf stash of solution manuals for stochastic processes ebooks? I am doing a self-study on this course and I can't seem to find any solution manual online to cross-check ...
1
vote
0answers
29 views

How to filter out non-mathematical results in online searching?

This similar question has been asked; yet I am still looking for an efficient way to filter out non-mathematical materials in an online searching. For example, is there any "mathematical" searching ...
0
votes
2answers
30 views

Quick binomial test for high number of trials

I just wanted to perform a quick binomial test for an experiment (Bernoulli trial) with 185 successes out of 459 trials and a (hypothesized) success probability of 0.2. I do not have any mathematical ...
0
votes
2answers
33 views

What are some books or online resources about the Sommerfeld-Watson method for series summation?

I'm looking for resource recommendations on the Sommerfeld-Watson summation method, i.e. the use of the residue theorem to obtain expressions like $$ \tag 1 \sum_{n \in \mathbb{Z}} g(n) = - \pi ...
2
votes
1answer
42 views

Online database of formulae for series, infinite products, limits, ecc.

Around the site there are a lot of questions about closed form expressions or approximations for specific series, products, limits and whatnot. These however are hard to find to the difficulty in ...
1
vote
0answers
41 views

Where can I find these definitions in algebraic curves?

I'm trying to understand the definitions of trigonal curve, ramification points and linear systems. What is the best place to find it? I have as background just Fulton's algebraic curves. Thanks
0
votes
1answer
64 views

What is ${\cal D}(\Omega_0)\otimes{\cal D}(\Omega_1)$?

How exactly can I prove that ${\cal D}(\Omega_0)\otimes{\cal D}(\Omega_1)$ equals the linear space $M$ spanned by 'simple fucntions' $\phi\in{\cal D}(\Omega_0\times\Omega_1)$ of the form ...
1
vote
0answers
17 views

Composition of smooth functions is smooth

Is there any book / online resource where this proof is carried out in the context of Banach spaces and Frechet derivatives?
3
votes
1answer
82 views

Online tools for checking validity of classical, intuitionistic, … logic formulas?

What online tools are available, where one can enter a formula of (first order) propositional or predicate logic, and have it check whether it is valid classically, intuitionistically, or even ...
2
votes
2answers
111 views

Is there a math website to study math from a mathematician point of view (ie proof oriented?)

I´m a student of the University of Puebla, Mexico, and I think that we lack of exigence there so I want to study math on internet to improve my education. I have already looked sites like edX, but I ...
1
vote
0answers
35 views

Differentiation through the integral sign, more general case

I wondered in which cases, given a measurable space $(A,\mu)$, Banach spaces $E,F$, an open $U\subseteq E$ and $f:A\times U\rightarrow F$, we can conclude that the function $s\mapsto\int_A f(x,y)dx$ ...
1
vote
1answer
35 views

Online resources for Mathematical Modeling

I'm taking mathematical modeling this semester in college and usually there are resources online to read examples and see another point of view but I'm not able to find it for this class. Can anyone ...
1
vote
1answer
68 views

Most general setting for the fundamental theorem of curves

I want to learn more about the fundamental theorem of curves. Wikipedia states the theorem for ${\bf R}^3$ only but I found another source (Theorem 5.5.18, in German only) where it is proved for ...
0
votes
1answer
31 views

Basic properties of uniform limits in Banach spaces

Where can I find infos (books, keywords, online materials, etc.) about when the uniform limit of a sequence of continuously differentiable functions $f_n:U\subseteq E\rightarrow F$ between arbitrary ...
1
vote
3answers
160 views

Video lectures on Partial Differential Equations

Would anyone happen to know any introductory video lectures / courses on partial differential equations? I have tried to find it without success (I found, however, on ODEs). It does not have to be ...
3
votes
1answer
97 views

Questions about the Fourier transform as a unitary transform

As far as I know, the Fourier transform is a (linear) unitary transform: $T: \textbf{L}^2(-\infty, +\infty) \rightarrow \textbf{L}^2(-\infty, +\infty)$ where the basis functions {$e^{i \omega x} | ...
10
votes
5answers
374 views

An Illustrated Classification of Knots.

Let me be honest here: I know very little about Knot Theory. I'm sorry. I've a friend though, someone with no training in Mathematics at all but who is a huge fan of knots (for whatever reason), who ...
12
votes
1answer
198 views

Websites that promote co-operation and social networking among mathematicians

Are there some websites that could be defined as social networks for mathematicians and scientists? What I have in mind is something similar to Academia.edu or ResearchGate, but more specific towards ...
2
votes
2answers
187 views

Little, unknown, English or French research journals with good mathematics

In this article by Gian-Carlo Rota, you can read: "I bought a copy of Frederick Riesz' Collected Papers as soon as the big thick heavy oversize volume was published. [...] It was clear that ...
8
votes
3answers
195 views

How to google search mathematical notions and expressions?

It is usually not difficult to google search mathematical notions; for example, one can search (with quotation marks) the term "brunnian braid" and find the definition and other related materials. ...
3
votes
0answers
46 views

Software for Braid Groups

I am looking for software/online tool that works on Braid Groups. I am aware that there are resources that allows you to draw braids by imputing generators or detect whether two braids are equivalent ...
0
votes
0answers
26 views

Looking for Comprehensive Integration Techniques Tutorial

I am trying to improve my skills and I usually learn best by attempting problems just barely above my skill level then reading the solution. Does anyone know where I can find structured integration ...
4
votes
3answers
74 views

Any recommendation of software for keeping a mathematical diary?

I believe that it might be a good idea to keep a personal mathematical diary, recording your readings, questions, thoughts, research ideas, etc. Surely one can choose to keep paper-based journals, but ...
0
votes
0answers
80 views

Free online mathematical tools to solve step by step problems

I am looking for online mathematical softwares which gives stepwise solution of problems.So far I have been able to find Symbolab but its useless unless the problem is very simple.
0
votes
0answers
12 views

Linear groups resources

I am interested on understanding the groups SO(2), SO(3) and together with Euclidean traslations (SE(2) and SE(3)). I find there are many resources on the internet but I need something which explains ...
0
votes
1answer
21 views

Need help with finding if a function has a name.

I watched a first year senior year class in China and saw a function on the board. $$ H^n_x = x(x+1)(x+2)\cdots (x+n-1)$$ you can see a similar problem here in Chinese. I think this function ...
5
votes
2answers
126 views

Set theory by Julia Robinson

I used to have a set theory textbook downloaded free from the internet. I lost my laptop in the airport of a city in Eastern Europe, and it was not found (or perhaps “not found”) by the airport ...
0
votes
1answer
51 views

Java efficient implementation of a finite field (for cryptography use)

Is there any popular robust implementation for a finite field in java? (An implementation of prime fields ,i.e. $GF(p)$ might also be good.
1
vote
0answers
20 views

Looking for resources: Generalizations of martingales to $\mathbb R^2$

In most introductory courses, a martingale $Y$ is defined as a stochastic process $$Y: T \times \Omega \to S$$ ,which satisfies certain conditions. ($\Omega$ is a probability space and a filtration ...
0
votes
0answers
24 views

Resource for learning sequences and series.

By reading various questions and answers on this site, I realized I'm particularly weak at sequences and series, for example various tests for convergence tests, Cauchy sequences and so on. It's ...
13
votes
6answers
1k views

Is there any book/resource which explain the general idea of the proof of Fermat's last theorem?

I look for a book/resource which display the general idea of the proof of Fermat last theorem in a simple manner for the public. I mean, books which is not for mathematicians but for the general ...
2
votes
1answer
238 views

Solving the recursion $y_n=2ny_{n-1}$ with Wolfram|Alpha

This is blowing my mind away ... this should be easy stuff! Starting with the recursive formula $y_n=2n*y_{n-1}$ where $y_1=5.$ I'm trying to come up with a formula for the series { 5, 20, 120, 960, ...
3
votes
1answer
89 views

Resources for understanding game trees?

I am trying to make an AI to solve the popular game $2048$, and I think that the theory of game trees would help me quite a bit in this endeavor. The only issue is that most of the results I've found ...
6
votes
1answer
401 views

Are there any mathematics “problem websites” similar to Project Euler?

Are there any mathematics websites similar to Projet Euler, a website which hosts math-heavy programming questions, many of which can be solved with a pen and paper? I've become almost addicted to ...
0
votes
1answer
87 views

Who should I ask for Robin's paper? At any rate, I want to find out if a similar result to his can be achieved with 36 instead of 12.

Robin proved unconditionally that for $\ n \ge 3$ , $$ \sigma(n)<\left(e^\gamma+{\log\log12\left({\frac73}-e^\gamma \log\log12\right)\over (\log \log n)^2}\right)n \log \log n. $$ I need a similar ...