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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7
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0answers
1k 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 ...
6
votes
0answers
95 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 ...
6
votes
0answers
311 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
57 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 ...
4
votes
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 ...
4
votes
0answers
453 views

suggestion for video lectures on algebraic topology

can anyone suggest me any good video lecture series for algebraic topology other than N.J.Wildberger videos. If it is equivalent to Munkres topology (algebraic topology section) it should be great. ...
3
votes
0answers
36 views

How to read Spectral Theory of Graphs

My background is a course is Linear Algebra -Hoffman,Kunze Graph Theory-Clark. I am reading Spectral Theory of Graphs. My professor has asked me to start from the book Spectra of Graphs by ...
3
votes
0answers
76 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 ...
3
votes
0answers
131 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.
3
votes
0answers
179 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 ...
3
votes
0answers
78 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
30 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 ...
2
votes
0answers
90 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 ...
2
votes
0answers
58 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 ...
2
votes
0answers
40 views

A sheet of formulas for practical application of Integration?

does anyone know where I can find an organized formula sheet with formulas of the application of integration (triple and/or double integrals)? Like finding the center of mass of a solid and such. ...
2
votes
0answers
101 views

Number of non-isomorphic groups of square-free 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 ...
2
votes
0answers
38 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 ...
2
votes
0answers
47 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 ...
2
votes
0answers
65 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 ...
2
votes
0answers
143 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
86 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
256 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
160 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
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 ...
1
vote
0answers
16 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 ...
1
vote
0answers
51 views

Comprehensive easy to understand resource for learning matrix decompositions?

I am working on my thesis which is widely depended on knowledge about matrix decompositions. I have studied linear algebra with the help of YouTube videos, MITOpenCourseWare videos and Prof.Gilbert ...
1
vote
0answers
22 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.
1
vote
0answers
42 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
1
vote
0answers
62 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?
1
vote
0answers
52 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
0answers
118 views

Reference for Analytic Number Theory

Are there any good video lectures available on Analytic Number Theory? I have a decent background of complex analysis but I have just started Analytic Number Theory.
1
vote
0answers
26 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 ...
1
vote
0answers
146 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
94 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
33 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
62 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
21 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
127 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
56 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
263 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
22 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
66 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
72 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
3k 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
47 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
75 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 ...
0
votes
0answers
9 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 ...
0
votes
0answers
16 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 ...
0
votes
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 ...
0
votes
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.