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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4
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2answers
87 views

Review papers in mathematical analysis

In theoretical physics, there are resources on the web that contain the most cited review papers in each field that are very valuable for some one doing research. Is the same true in mathematical ...
6
votes
1answer
303 views

Automata theory on infinite words: any video lectures?

I am fun of automata theory. Can you suggest good video lectures on the subject? (there is a good one here, but it is accessible from RWTH University only)
5
votes
1answer
48 views

Detailed Visual Introduction to Complex Numbers with Problems and Solutions

I'm aware of http://tutorial.math.lamar.edu/Extras/ComplexPrimer/ComplexNumbers.aspx. It's very detailed and helpful but I'm looking for something with more pictures. It also doesn't have enough ...
2
votes
1answer
112 views

Need to learn wavelet, suggest steps and resources

I am looking for a good introduction to wavelets and wavelet transforms. that covers the following: Basics Vector Spaces – Properties– Dot Product – Basis – Dimension, Orthogonality and ...
1
vote
1answer
61 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 ...
1
vote
1answer
88 views

Good ODE Books That Explain How Solution Methods Came To Be and Their Justifications

As part of the mathematics program offered at my college, I took an introductory ODE course a few semesters back. This was the one math course in my entire college career that I was totally lost in. ...
1
vote
1answer
85 views

Finding equations of lines

I'm sitting an exam soon and have been revising for a while but I sometimes get stuck with questions that I know are simple but still have no idea about how to do them at all! Please explain to me how ...
6
votes
0answers
294 views

Resource: Group Theory

There is a website providing recent thesis in finite geometry. Is there any website with collection of recent thesis on (finite) group theory. I want to see the Ph.D. thesis of Raymond T. Shepherd, ...
5
votes
0answers
33 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 ...
5
votes
0answers
60 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 ...
5
votes
0answers
320 views

Solution manual to Larson's “Problem Solving through Problems”

I am working through Larson's "Problem Solving through Problems" (http://math.la.asu.edu/~ifulman/mat194/problem-solving.pdf) but many of the problems have neither solutions nor sources included. Does ...
3
votes
0answers
133 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 ...
3
votes
0answers
92 views

Online Model Theory Classes

Since "model theory" is kind of too general naming, I have encountered with lots of irrelevant results (like mathematical modelling etc.) when I searched for some videos on the special mathematical ...
2
votes
0answers
87 views

Exercises or courses to improve logical rigor and reasoning skills

There is plenty of math that is beautiful without needing much explanation of theory, such as fractals, geometric patterns and the Game of Life, that may interest beginners in mathematics. However, if ...
2
votes
0answers
36 views

Is there a source that explains or defines terms like Theorem, Proposition, Lemma and Corollary?

I will write the German names of the following English terms in brackets as it is important that I use the correct terms. This is a question about terms and I'm not completely sure if I've ...
2
votes
0answers
63 views

A Proof of Bruns' Theorem

I am looking for a proof of Bruns' Theorem. Theorem: The 10 classical integrals of the three-body problem are the only algebraically independent integrals of this 18-degree-of-freedom system.
2
votes
0answers
62 views

What is a good resource for functional derivatives and functional determinants?

What is a good resource for functional derivatives, functional determinants, etc.? What is the branch of mathematics dealing with those things? It is not in my functional analysis book. What is a ...
2
votes
0answers
138 views

Measures on function spaces

Assume I have a measurable space $(\Omega, \mathcal{F}, \mu)$, $\mu$ being a finite measure ($\mu(\Omega) < \infty$, if needed). Let $L = \{F:L^1(\Omega, \mu) \mapsto \mathbb{R}\}$ ($L$ is the set ...
2
votes
0answers
110 views

Resources for practicing Maths

There are a few posts on Resources for learning maths. But I am looking for practice questions preferably with solutions. Are there any you would recommend? Online or Books I am currently a Computer ...
1
vote
0answers
35 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 ...
1
vote
0answers
23 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 ...
1
vote
0answers
26 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 ...
1
vote
0answers
41 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
0answers
57 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 ...
1
vote
0answers
22 views

Online tools for plotting and deriving formulas from set of data?

I have a matrix of 20x3 decimal values. I would like to have them in a graph, with one plot for each of the three y values. I would also like approximated formulas for each of the three. Are there any ...
1
vote
0answers
46 views

Getting started with contact bundles

I'm currently reading William Burke's book Applied Differential Geometry and he uses a lot in the development of Lagrangian Mechanics the notion of a Contact Bundle. He does explain intuitively what ...
1
vote
0answers
19 views

More contemporary resource for Greenberg

Is there a more modern textbook than Greenberg's forms in many variables, or a set of notes, that summarizes the developments about $C_i$ fields? Is there such a thing as $C_i$ field where $i$ is not ...
1
vote
0answers
92 views

What is a good source of problem-solving type problems?

I am not looking for contest problems where there is a clever trick or a standard approach, I am looking for more creative and open-ended problems such as this , and I am not looking for questions ...
1
vote
0answers
40 views

Order of operations

Looking for a source that lists every possible proper order of operations. The reason for this is that I made a mistake with fractional exponents, I don't want to make this mistake again.
1
vote
0answers
93 views

Resources to learn more about universality?

I'm fascinated by what I think is called Universality in mathematics. What I mean by this is systems with simple rules displaying very complex behaviours in aggregate. Conway's game of life, Wolfram's ...
1
vote
0answers
17 views

Skein trees resource

Is there a resource where a collection of Skein trees for the Conway polynomials of knots have been presented? Thanks
1
vote
0answers
57 views

Regression with multiple line types from set of points

Given a set of points, I'm looking to find the best possible line (within reason) to fit to these points. These points won't be from real data, so they could form any sort of curve or line. So, I ...
1
vote
0answers
69 views

Is there a website dedicated to the application of Category Theory to different branches of Mathematics?

For example, if I wanted to know what the product/coproduct is in a certain category, I could find it on that site. I commonly come across websites (such as wikipedia) that give a few examples of ...
1
vote
0answers
990 views

IGCSE/GCSE mathematics worksheet and resources

I take mathematics for Cambdridge IGCSE students, Syllabus code 0580, http://www.cie.org.uk/docs/dynamic/41073.pdf , Please i want to know about resources available to revise the math topics, and if ...
1
vote
0answers
43 views

A resource to browse various function graphs?

I couldn't find what I need from google, so I figured it's time to ask here. Basically I'm looking for something like an online catalogue for all kinds of function graphs. I need a few specific ones ...
1
vote
0answers
64 views

Looking for specific resource on the classification of complex irreducible representations of metacyclic groups

My apologies in advance if this question is in any way out of place. I'm currently need of a classification of complex irreducible representations of metacyclic groups. My current reference ...
1
vote
0answers
207 views

Lesson plan for teachers

I teach mathematics at school level. Lesson plans are soul of any lesson that a teacher takes in a class. I want to create lesson plan on different mathematics topic as per the level of the syllabus ...
0
votes
0answers
11 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.
0
votes
0answers
112 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 ...
0
votes
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 ...
0
votes
0answers
23 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. ...
0
votes
0answers
17 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 ...
0
votes
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 ...
0
votes
0answers
13 views

How to simultaneously search multiple finite sequences in OEIS?

Suppose I have several finite sequences and I want to know if they show up in a family of sequences or any one particular sequence or on rows of an array on OEIS; is there such a search option.
0
votes
0answers
43 views

Calculus book with different definition of derivative

I am looking for a calculus book which defines derivative as a linear approximation and not as a rate of change. Then it generalizes this notion to derivatives from $\mathbb{R^n}$ to $\mathbb{R}^m$. ...
0
votes
0answers
15 views

Resources for converting a problem into a 'coefficient of $x^n$ in <exp>'

I'm getting started with generating functions, and I'm having trouble with understanding how problems get converted into 'therefore, this is is the coefficient of $x^n$ in such-and-such'. Does anyone ...
0
votes
0answers
41 views

Online testing systems with extensive question banks?

Some months ago I asked a question about online testing systems here: Online homework/testing systems? I am still searching for the best system to use with my students. When I asked that earlier ...
0
votes
0answers
69 views

Bertrands theorem. The principle of least curvature.

Theorem: If a given set of impulses is applied to different points of a system in motion (either holonomic or nonholonomic), then the kinetic energy of the resulting motion is greater than the ...