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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0answers
17 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 ...
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3answers
55 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 ...
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0answers
21 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.
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0answers
5 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 ...
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1answer
18 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 ...
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1answer
16 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.
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0answers
16 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 ...
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0answers
19 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 ...
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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
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1answer
93 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
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1answer
82 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 ...
4
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1answer
105 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 ...
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1answer
85 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
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0answers
94 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
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0answers
42 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 ...
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1answer
77 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 ...
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1answer
53 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 ...
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1answer
82 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.
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1answer
72 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?
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0answers
13 views

Reading on Laurent Polynomials

I'm interested in reading about Laurent Polynomials. Does anyone know a good resource/book that I can read about Laurent polynomials? Thanks.
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1answer
161 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 ...
3
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0answers
141 views

Any comments on Lax's “Calculus with Applications, 2e”

There's a new calculus book titled Calculus with Applications by Peter Lax (2nd edition of an old one). I really liked his linear algebra and functional analysis books, and I was wondering if this ...
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0answers
164 views

Self-Contained Books / Series / Lectures for Comprehensive Introduction to College-Level Math for Someone with VERY Poor Math Foundation?

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 ...
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0answers
47 views

Websites for math tests/quizzes

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
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1answer
72 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
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2answers
43 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 ...
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0answers
45 views

Practice Problems before College

I am starting college next year and will be studying a lot of math within my major. I also have the opportunity to get my masters in four years, and am strongly considering pursuing math. I took ...
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1answer
208 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.
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5answers
202 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 ...
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0answers
25 views

Quaternions $\leftrightarrow$ Matrix - Source Code

Can anybody help me with a easy source code for the transformation quaternions $\leftrightarrow$ matrix? Any language programming is ok, doesn't matter if it about C/C++ or java, or written in Matlab. ...
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1answer
65 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
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3answers
128 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 ...
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0answers
29 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 ...
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0answers
27 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 ...
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1answer
29 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
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0answers
38 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
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2answers
123 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 $x$, ...
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2answers
54 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 ...
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0answers
29 views

Applying moment of inertia of a flat plate algorithm as an integration transform/new integration technique?

Currently in my engineering statics course we are learning about moments of inertia of flat plates and something popped into my head. If we have a flat plate in the xy-axis and we can determine the ...
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0answers
49 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 ...
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1answer
80 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?!
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0answers
47 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 ...
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0answers
62 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 ...
4
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1answer
406 views

The Category of Small Categories: a Zoo of Functors.

Wouldn't it be great if there was some website or something that visualized (some small portion of) the category of small categories(*)? Imagine you click on some categories from a list, say, ...
4
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1answer
110 views

Recommend textbooks that expain branch cut, Riemann surface and contour integration with branch cut in detail

I read several textbook on complex analysis, but few of them explain the branch cut and Riemann surface in detail and treat the contour integration with branch cut. But this is very important for many ...
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1answer
40 views

I need a good online statistical significance calculator

What I'm looking for is pretty simple but after half an hour on Google I still haven't found anything. What I need is a reliable statistical significance calculator to compare two samples. For ...
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0answers
58 views

Instructive video content for High School kids?

I need some math Youtube channels (or any other visual media, movies maybe...) that I can recommend to High School students, not solely as a method of learning math but more to illustrate the beauty ...
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0answers
70 views

Matrix gallery resource

Does anyone know of a comprehensive list of matrix types (including a definition of each type)? I am looking for something like this. Importantly, it would be useful if there was a simple example of ...
3
votes
1answer
490 views

Online Finite Field Calculator

I need to find an online Finite Field calculator with the following operations: Inverse SqrRoot Mult Div I have found one a couple of days ago but lost the url, and cannot find it now. Any ...
6
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1answer
162 views

Which textbook of differential geometry will introduce conformal transformation?

Which textbook of differerntial geometry will have these formulas about conformal transformation? $$\tilde g_{ij} = e^{2\varphi}g_{ij}$$ $$\tilde \Gamma^k{}_{ij} = \Gamma^k{}_{ij}+ ...