Questions tagged [online-resources]

This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos and lectures, etc), or asking about the mathematics behind tools and technology found on the internet.

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How the metric notion change under complexification

In the past few days, I've been delving into characteristic classes for the Torus, and I've realized that my understanding of metrics isn't concise enough. Initially, I derived a metric from the ...
falamiw's user avatar
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2 votes
1 answer
193 views
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Overview of basic results in Stochastic Calculus

Are there some good overviews of basic facts about Stochastic Integrals and Stochastic Calculus? These can be in the form of resources (preferably accessible online) as well as directly writing out ...
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How do I compare the variabilities between groups with extremely different ranges?

It's hard to fit it all in the title but my problem is basically finding a measure of variability or spread that I could use to compare groups where some have really high values while others have ...
ConfusedConfucius's user avatar
1 vote
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43 views

Resource recommendation on Probability, Combinatorics, and Statistics.

Introductory and Intuitive book covering Probability, Combinatorics, and Statistics. Some books that are "Introductory and Intuitive" have read in the past are Calculus Made Easy by ...
GedankenExperimentalist's user avatar
7 votes
2 answers
154 views

PDF to HTML conversion with accessible mathematics? [closed]

I am mainly searching for resources online for studying mathematics, however I am a visually impaired student taking a Calculus course in comunity college. I notice that most resources are in PDF ...
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Resource request: Equipping a Riemannian manifold with a different connection to parameterize the geodesics

Let $(M,g)$ be a Riemannian manifold. Let $\nabla$ be a connection for $M$. Let $c(.)$ be a $\nabla$-geodesic. I believe I can also construct a new distance function $d_{g,\nabla}(x,y):=\int_0^1 \|\...
Spencer Kraisler's user avatar
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39 views

Lebesgue differentiation theorem extended for surface integrals

Theorem 6, pg 649 in appendix E of evans states the Lebesgue differentiation theorem: THEOREM 6 (Lebesgue's Differentiation Theorem). Let $f: \mathbb{R}^n \rightarrow \mathbb{R}$ be locally summable. ...
Sam's user avatar
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32 views

Suggestion required | Book on Mathematics Education Research

I am looking for books/ resources on Mathematics Education Research (problems, discussion on possible research topics etc.), preferably which are freely available online. Fascinating world of ...
Lemon's user avatar
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Resource recommendations for Frobenius inner product and orthogonal matrices

I am trying to use the Frobenius inner product for some work. Are there any resources that somewhat comprehensively discuss this? From what I can find through simple google searching, many resources ...
Nick's user avatar
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1 vote
0 answers
331 views

Are $nimonics$ (nimber mnemonics) a thing?

Note: The context of the follwing is nimbers. I found the following nimber addition mnemonic on the Wikipedia page for Fano planes. Inspired by the Fano plane mnemonic, I decided to see if I could ...
stargirl's user avatar
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2 votes
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71 views

Graph theory via a categorical approach

After reading the paper On the Expressive Power of Homomorphism Count, I was wondering if there were some nice material I could read trying to study graphs from a categorical point of view. Stuff like ...
Scott's user avatar
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Sufficient conditions for geodesic completeness for simply connected manifolds?

If $M \subset \mathbb{R}^n$ is a simply connected Riemannian manifold, what are some sufficient conditions for geodesic completeness?
Spencer Kraisler's user avatar
1 vote
0 answers
50 views

A lost preprint by Kontsevich and Soibelman

In Markl's article here he references under the number [57] the following article M. Kontsevich and Y. Soibelman. Deformation theory of bialgebras, Hopf algebras and tensor categories. Preprint, ...
Margaret's user avatar
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15 views

looking for a good resource for studying parametric equations

I am relatively proficient in most material found in high school math courses but one of my weaknesses is in parametric equations and expressions; I really struggle to understand and apply them. Does ...
Nate's user avatar
  • 107
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36 views

L2 Norm of Pseudo-Inverse Relation with Minimum Singular Value formal source?

Given a full column rank matrix $A \in \mathbb{R}^{n\times m}$. The left pseudo-inverse is $A_{\text{left}}^{-1}=(A^\top A)^{-1}A^{\top}$. Then we have the following relationship $$\|A_{\text{left}}^{-...
PT_98's user avatar
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2 votes
1 answer
79 views

Good source of exercises in computing $\operatorname{Tor}$ and $\operatorname{Ext}$ groups

I am planning to attend special lectures on geometry and mathematical physics, and the professor advised me in advance to make sure I am familiar with various computations of $\operatorname{Tor}$ and $...
Hyeongmuk LIM's user avatar
1 vote
0 answers
104 views

Learning Riemannian Geometry

I would like to add standard knowledge from a first Riemannian geometry class to my tool belt. Textbooks are great, but I often find I have trouble knowing what topics to focus on and what topics a ...
JMM's user avatar
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1 answer
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Resources to study Cubic Sequences and similar results

was reading an article about general formula for $n^{th}$ term of a cubic sequence, and it mentioned the formula: $$u_n=an^3+bn^2+cn+d$$ Here, the values of $a, b, c$ & $d$ are calculated using ...
user270610's user avatar
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20 views

Please give me some direction in finding natural numbers n,k,c such that n!/k!=c! [duplicate]

Question in the title. I recently saw a short video on Youtube in which the problem was to evaluate $10!/6!$. The answer of course was $7!$, but that got me wondering: just how many triples $(n,k,c)\...
H. sapiens rex's user avatar
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1 answer
76 views

Good book or online resources for systems of linear ordinary differential equations

I am looking for a good and comprehensive book or online resource on systems of linear ordinary differential equations. It has to describe well the solution, stability and determination of arbitrary ...
Nicola Gambaro's user avatar
1 vote
0 answers
105 views

Complete resource of Ngô's course notes on Algebraic Groups and Group Schemes

I'm looking for Ngô's M2 course notes on "Groupes algébriques et schémas en groupes". The Wayback Machine has an incomplete capture here. However, it apparently lacks chapter 1, 3, and 5. ...
Modern_Hunter's user avatar
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43 views

Bounding the residual of Chebyshev approximations of the Heaviside function

I'm looking for a resource to find bounds for Chebyshev polynomial approximations of a given degree for the Heaviside function $$ H(x) = \begin{cases} 1 & x>0,\\ 0 & \text{else.} \end{cases}...
Cuhrazatee's user avatar
1 vote
2 answers
193 views

Need resources for learning higher level mathematics from an inquiry stand point

I am a high school math teacher looking for resources for students who have completed Calculus and are interested in topics like Set Theory and Abstract Algebra. Ideally, I would love to find some ...
William Hawkins's user avatar
2 votes
1 answer
258 views

Is there online calculator for calculating a row echelon form of a matrix over $\mathbb{Z}_n$?

There are many great online calculators for calculating row-echelon forms of matrices, such as this one. But now I need to calculate the row-echelon form of some large matrices over $\mathbb{Z}_n$ (...
Zuriel's user avatar
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51 views

Recursive algorithm for numeric integration with singularities

As part of my research, I have to integrate Green's Function to get charge density but Green's function has integrable-singularity near band-edge and integration has been a headache with normal ...
Shlok Vaibhav 's user avatar
1 vote
0 answers
36 views

Resource that Develops Determinants

In the past two months, I had found a wonderful pdf that went through a derivation of the determinant with calculating the area of a parallelepiped as its starting point. The document did not get into ...
murthaaidin's user avatar
1 vote
0 answers
89 views

What are general methods in calculating difficult indefinite integrals, not usually taught in calculus classes?

My title is pretty vague, so let me elaborate on what exactly it is that I am looking for. I came across this integral $$ \int \frac{x \sin x }{1 + \cos^{2}x } dx $$ Now, I know that this indefinite ...
Srinidhi kabra's user avatar
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1 answer
41 views

Efficacy of the alternating/see-saw algorithm?

The see-saw algorithm is a method used to optimize a function $f(x,y)$. The method works as follows. Suppose we have a function $f$ with multi variables to be optimized, let's say minimize it, and we ...
narip's user avatar
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0 answers
39 views

Resources for learning computations using Adam Spectral Sequences.

I am trying to learn computations of homotopy groups of spheres using Adam and Adam Novikov Spectral sequences. Are there any resources that help me in learning this as quick as possible? I want to ...
Emptymind's user avatar
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1 answer
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Practice books/resources for developing arithmetic skills

I have a family member who wants to give some competitive exams. The quant portions of these exams require a good grasp on basic math skills like factoring out, adding/subtracting equations, basic ...
user9343456's user avatar
1 vote
1 answer
162 views

Are there any simpler transformations for the elliptic integral of the second kind $\text E(z,m)$ than these?

$\def\F\{\operatorname F}\def\E{\operatorname E}$ Elliptic F$(x,m)$ appears in elliptic E$(x,m) =\int_0^x\sqrt{1-m\sin^2(x)}dx$ parameter $m$ transformations. Luckily the DLMF has reciprocal/imaginary ...
Тyma Gaidash's user avatar
0 votes
0 answers
49 views

Textbook Recommendations: Reviewing Calculus for Educators

I tutor first and second year university students, typically with their physics coursework. This semester I have been asked to also teach/tutor calculus 2 & 3 (integral & multivariable). It's ...
M. S.'s user avatar
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0 votes
1 answer
106 views

Resources on the grammar of Maths?

I recently came across a book called How to think like a mathematician, which covers some of the general principles behind reading, writing, and understanding undergraduate level mathematics. I would ...
Connor's user avatar
  • 647
-1 votes
1 answer
56 views

Recommendation for Examples (calculations) to many topics in maths.

do you know good websites/books/PDFs in which many examples to topics are discussed? What I mean by that is, I am looking for sources where to each topic there are plenty of detailed discussed ...
mathsdummie1234's user avatar
3 votes
0 answers
86 views

Applications of Pluripotential Theory in real world

I am reading for a math PhD with research in Pluripotential Theory (a subfield in Several Complex Variables). I particularly do study and develop theory related to extremal functions associated with a ...
Extremal's user avatar
  • 5,775
1 vote
1 answer
177 views

Full online maths courses for self study

I am looking for resources to self study graduate-level maths which give similar experience as studying in a university. That usually involves Lectures Tutorial sessions Homework assignments and ...
Rodion  Zaytsev's user avatar
0 votes
1 answer
81 views

I need an exam of complete undergraduate mathematics courses. [closed]

I have an important exam in which I am responsible for undergraduate level of Calculus, Advanced Calculus, Linear Algebra, Differential Equations, Abstract Algebra and Real Analysis. Do you know any ...
boyler's user avatar
  • 335
1 vote
0 answers
48 views

Is there something like Freelancer or Fiverr for random math questions?

(This question isn't about math.stackexchange exactly, so I'm unsure if it belongs in meta.math.stackexchange instead or ...
eapi's user avatar
  • 81
2 votes
1 answer
63 views

I am looking for a high quality video course on elliptic curves and elliptic functions. Is there such a course available?

I have been reading around the subject of Elliptic Curves/Integrals/Functions and would greatly appreciate being able to pursue my interest on an online video course. The only video courses I have ...
Julian Cafarella's user avatar
2 votes
1 answer
122 views

What are good resources for a hard-working Calculus BC Student (offered only as a second year course in my highschool)?

I’m not sure if this is the best place to ask this… I am currently a student in my school’s Calculus BC class, in which I would like to improve- not only in my actual grade, but actual abilities as an ...
user1234's user avatar
0 votes
0 answers
69 views

Topology resources / exercises

I'm looking for some basic Topology exercises. Like: Determine the interior of a set in the given metric Is this set is a border set Is this space a Complete metric space Is this family a base Is ...
Cezary Wakulinski's user avatar
0 votes
0 answers
57 views

Is there a "standard" method of breaking ties when rounding in the field of mathematics?

I recently found that software packages deal with ties in different ways: round ties away from zero: round(0.5) = 1.0, ...
Saaru Lindestøkke's user avatar
1 vote
0 answers
256 views

Is there any online learning seminar or course on category theory.

Background: Currently, Msc mathematics with an algebra background, which includes Abstract algebra, Representation theory, and Commutative algebra. I did go through Prof. Richard Broched's lectures on ...
sanket shete's user avatar
2 votes
1 answer
163 views

On Bretschneider's generalization of Ptolemy's theorem

Mathematician Carl Anton Bretschneider (1808–1878), from Gotha (Germany), carried out the following generalization of Ptolemy’s theorem, which refers to the product of diagonals in a convex ...
Emmanuel José García's user avatar
0 votes
0 answers
48 views

Video lectures for Multivariable analysis

Are there any video lectures for Multivariable Analysis? I've found just a couple of multivariable calculus video lectures, but I can't find any analysis videos.
jen jen du's user avatar
0 votes
0 answers
89 views

Linear and multiplicative limit functional

The popular generalizations for the standard limit functional are the linear Banach limits, and multiplicative ultra filter limits. An extended functional cannot be both as Banach limits also are ...
Lave Cave's user avatar
  • 1,159
1 vote
1 answer
62 views

Constructing Symmetries for Groups

Currently, I'm taking group theory. Right now I am dealing with assignments asking to find the total number of symmetries of objects. Pretty often I have a difficult time knowing whether or not a ...
Dee's user avatar
  • 501
1 vote
1 answer
185 views

Lectures to Accompany Herbert Wilf's Generatingfunctionology

I have recently read the first chapter in the late professor Wilf's book humorously entitled Generatingfunctionology. This has been my first experience with combinatorics, and I am trying to approach ...
Talmsmen's user avatar
  • 1,124
4 votes
0 answers
91 views

How to learn mathematical inequalities, from scratch.

I have a lot of interests in mathematics. Over the course of 10 years, I have learnt in my opinion, a fair share of knowledges and mathematics. Just until recently I encountered several problems that ...
区なしま's user avatar
6 votes
2 answers
148 views

What is the “maximal hyperreal field”?

In many SE posts and the Wikipedia article on the surreal numbers I’ve seen references to a “maximal” hyperreal field that’s isomorphic to the surreals. If they’re isomorphic, then why is it that ...
Lave Cave's user avatar
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