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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0
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1answer
35 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
301 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
120 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
420 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 ...
14
votes
1answer
210 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
190 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 ...
11
votes
3answers
327 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
59 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 ...
9
votes
3answers
259 views

Video Lessons in Complex Analysis

Does anybody have some link for good video lessons of a complete course in Complex Analysis? Grateful.
0
votes
0answers
28 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
86 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
131 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
22 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
131 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
64 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
22 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
25 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 ...
1
vote
1answer
138 views

Algebra + Real Analysis video lectures

I'm an undergraduate taking graduate courses beginning a research project. I don't have much time but want to brush up on my Algebra and real analysis at a graduate level. Does anybody know any good ...
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
293 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
92 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 ...
11
votes
3answers
638 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
88 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 ...
3
votes
0answers
125 views

Why is there no collection about all mathematical theorems and open questions?

I really would like to have a giant math collection which is sorted according to the Mathematics Subject Classification, but with more then 3 levels, and it should contain all known theorems and also ...
2
votes
0answers
46 views

Diophantine equations which are easier to solve using $\mathbb{Z}[i]$ compared to $\mathbb{Z}$

I wanted to know applications of arithmetic in $\mathbb{Z}[i]$ that helps in some problems of $\mathbb{Z}$. I found a wonderful set of notes by Keith Conrad. Now I want to read more on a similar ...
0
votes
2answers
124 views

Book on calculus of several variables.

I'm an undergraduate student in mathematics and want to study Calculus of several variables currently this semester which involves the use of analysis, vector spaces and linear transformations. Can ...
0
votes
1answer
984 views

Algorithms to increase or decrease the contrast of an image

While tinkering with image editing, I thought I might implement a contrast algorithm; something that would take a range of values and, based on the value that the user provides (from 0 to 255; the ...
1
vote
1answer
167 views

Video/audio lectures on differential topology?

Do there exist decent online video lectures, or even audio lectures, covering differential topology? I'm aware of Milnor's talk, but it is more like exposition and doesn't go very far.
1
vote
1answer
85 views

where can I get math book reviews?

The only two freely available choices are maa.org and zbmath.org ,where can get other mathematical book reviews? any one?
14
votes
1answer
705 views

How to Self-Study Higher Math Without Solutions

I've been lurking on this site for several months, and as someone studying higher mathematics independently (i.e., outside of a college/institutional setting), this forum has probably been the best ...
8
votes
2answers
937 views

Video lectures of algebraic geometry (Hartshorne, Shafarevich, … )

I am a commutative algebra student. I wonder if there is some video lectures of algebraic geometry courses available online for free? I'd like the lectures to cover main topics of the books ...
9
votes
3answers
446 views

Self-contained undergrad math resources for someone with extremely weak foundations in math?

I've long been interested in various math related subjects (technology, philosophy, sciences, computer science, languages, etc.) without really invested time to actually any learn any of them. I ...
4
votes
1answer
100 views

Websites for math tests/quizzes [closed]

Next semester I'm taking calculus at college and I was looking for websites that have quizzes/test for things like trigonometry, trig formulas, pre-calculus, calculus readiness, etc. so I can get ...
3
votes
1answer
160 views

Start studying mathematical biology from basics

I am really passionate about theoretical and quantitative biology and I would like to build my future career around this topic. I've just got my bachelor's degree in biology (ecology) but scince ...
2
votes
2answers
49 views

OEIS for Doubly Indexed Sequences

Is there an OEIS-like database for doubly indexed sequences? I feel like such a database would be extremely useful for mathematicians, and would be surprised if there wasn't one, but I can't seem to ...
8
votes
1answer
500 views

best intuitive books/video lectures to read topology and functional analysis

What are the best intuitive books/video lectures to read topology and functional analysis ? I am aware of basic linear algebra, analysis and measure theory.
4
votes
5answers
315 views

A mathematical approach to economics

Are there books or papers where economics is formalized and studied very rigorously? I am very interested in this topic. I would preferably like free online books and/or papers, but that is not ...
1
vote
1answer
73 views

Must take online Maths Courses

I have quite a long holiday this year to myself, so I've decided to work on improving my math. So, could you please recommend some nice online courses to me. Thanks in advance, and please keep in ...
2
votes
3answers
252 views

Very elementary number theory and combinatorics books.

I know the basics of logic, sets, relations and the like, so studying intros to abstract algebra and real analysis is not that hard. That said, I have a deficiency when it comes to elementary number ...
1
vote
0answers
82 views

Where can I find the TOC of “Calculus and analytic geometry” by George B. Thomas 4th ed?

I am currently following the course Calculus Revisited, by Prof. Herbert Gross. In his lecture notes he makes references to the book mentioned in the title, by section number, so far I found a copy ...
3
votes
1answer
43 views

Are there online-platforms where to find people for joint learning and discussions?

After quite some time in academia I ended up in a nice company but the math to use is not really demanding. Hence I am still reading and working a bit on some university level math. It's roughly at a ...
0
votes
1answer
31 views

How can I plot $(x^2+y^2+z^2)^2 \leq x^2+y^2$?

if I use spherical coordinates $x=r\sin(a)\cos(b), y=r\sin(a)\sin(b), z=r\cos(a)$, where $a$ goes from 0 to $\pi$ and $b$ from 0 to $2\pi$ I get the following $r^4\leq r^2\sin(a)^2$ $r^2\leq ...
5
votes
0answers
44 views

Is there an online database somewhere that lists identities for algebraic structures with two binary operators?

I'm working on an abstract algebra library in Python, and I'm trying to include as many functions that analyze algebraic structures, returning true or false based on whether or not the algebra ...
2
votes
2answers
876 views

Solve an equation for a particular variable using Wolfram Alpha

I want to express variable from equation in WolframAlpha web. I tried several keywords but it didn't work. For example I have equation $$y=x+z+k,$$ and I want Wolfram to rewrite it for variable $x$, ...
1
vote
2answers
60 views

Cebysev (Tschebyscheff-) Approximation

I have to find the best Tschebyscheff-Approximation of $x(t) = \sin(t)$ on the Interval $[0,d]$ by a line where $0 < d < 2\pi$. But I have no idea how to perform such an approximation, do you ...
1
vote
0answers
75 views

What are some good statistics resources?

A year ago, I took a statistics course at my university. The course was based on Rice's "Mathematical Statistics and Data Analysis". Apart from the fact that I did not find the book terribly good, I ...
1
vote
1answer
102 views

Math competitions resource at university level

I want some problems especially in Algebra field for math competitions at undergraduate math students level. Does anybody here know book, website,... that I can use?!
1
vote
0answers
53 views

Repository of functions which do not have elementary integrals [duplicate]

If there is some function and I suspect that the primitive function cannot be expressed using elementary functions, I would like to have some argument that there indeed is no such expression. One ...
6
votes
1answer
85 views

Literature to the ring $\mathbb{Z}[\phi]$ where $\phi=\frac{1+\sqrt{5}}{2}$ is the golden ratio

I know few about algebraic number theory but recently I stumbled upon the ring $\mathbb{Z}[\phi]$ where $\phi = \frac{1+\sqrt{5}}{2}$ is the golden ratio. It seems to be a very interesting object to ...