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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1answer
12 views

Diagrams of links in public domain or licensed under Creative Commons

I'm writing a set of notes on topology that I'd like to share under the Creative Commons. Does anyone know where to find diagrams for links (not the Borromean link, I have that already)? It's for the ...
0
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0answers
23 views

Introductory material on discrepancy theory

I'm interested in learning about discrepancy theory. By this I mean material such as http://math.mit.edu/classes/18.095/lect6/notes.pdf . However, I've been unable to get much from "Chazelle, ...
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0answers
60 views

Recommended Textbook/Resources

I'm looking for a textbook or resources my younger brother could use. (He is in year 9, equivalent to US high school freshman) He is wanting to advance upon his math, he currently does exercises out ...
75
votes
9answers
6k views

Are mathematical articles on Wikipedia reliable?

I know that Wikipedia gets a bad rap, and it seems like some teachers of mine have nothing better to do in class than harp on about the Great Academic Pastime of calling Wikipedia untrustworthy, but ...
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3answers
73 views

Elementary linear algebra book

I read and enjoy Spivak calculus book; I was wondering if there is a similar book (in terms of problems, rigor, etc) for elementary linear algebra?
1
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6answers
115 views

where can I take an online Second course in Linear Algebra or second abstract algebra?

Hi i am looking for an online/independent study Second course in Linear Algebra or abstract algebra I and II? Can you point me in the right direction. I need college credit. I need help ASAP Even a ...
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0answers
12 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 ...
2
votes
1answer
52 views

Rotman, Corollary 5.45.

Rotman's book on groups theory includes the following proposition, as a corollary of the fact that $\Bbb Z_{2^n}^\times \simeq C_2\times C_{2^{n-2}}$ Corollary 5.45 Let $G$ be a group containing ...
3
votes
1answer
45 views

Online tools for generating the NULL SPACE of the matrix over Finite Field of size 2

Is there any online tool where I just enter the values in (0,1) Finite Field of size 2 and it's give me the NULL SPACE matrix ? I have 25x25 , 36x36 , 25x36 , 36x25 matrix. Below is my 25 x 25 ...
4
votes
2answers
41 views

Where to look for “standard” ODE solutions?

I remember one day having stumbled upon a nice online resource where one could look for solutions to very general ODEs (or at least the literature names thereof), but unfortunately I forgot its ...
27
votes
10answers
2k views

How to be a successful math undergraduate student?

I am an undergratuate student in my first year of combined bachelor of electrical engineering and bachelor of mathematics. For my mathematics degree, this year I am supposed to take two math courses ...
3
votes
3answers
89 views

Online lectures for a first course in mathematical logic

I have a friend who is interested in learning math. I suggested that he learns mathematical logic. He has never learnt mathematical logic before, however I believe he has all the necessary ...
0
votes
0answers
39 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 $\mathbb{R}^m$. ...
1
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0answers
41 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 ...
2
votes
1answer
82 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 ...
2
votes
3answers
50 views

How to reduce predicate logic into propositional logic?

I read that predicate logic reduces into propositional logic. However, I couldn't find anything online that explains the process. Do you know where I could find an explanation? Thank you.
3
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2answers
44 views

Proof that diagonally dominant matrices are regular - Reference request

I know that it is easy to proof that diagonally dominant matrices are regular (non-singular) by the gershgorin circle theorem. But the theorem that diagonally dominant matrices are regular was ...
2
votes
0answers
63 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 ...
4
votes
3answers
83 views

What's a good resource to learn about the simply typed lambda calculus?

I've read An Introduction to Functional Programming Through Lambda Calculus by Greg Michaelson, and found it to be a very good resource to learn about the untyped lambda calculus. However, I want to ...
2
votes
0answers
29 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 ...
1
vote
1answer
68 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. ...
6
votes
1answer
86 views

Animations or Pictures of Group of Rigid Motions (or Rotations) of the Cube

Consider a cube that exactly fills a certain cubical box. As in Examples 8.7 and 8.10, the ways in which the cube can be placed into the box corresponds to a certain group of permutations of the ...
16
votes
1answer
462 views

“Bad” Mathematics in Movies

There's a website and a companion book to it about bad physics in movies, called "Insultingly Stupid Movie Physics". Similar issues may exist about mathematics: What are the differences between ...
0
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1answer
93 views

Tool to extrapolate data

I have daily data. 6.5315 4.9240 4.3253 3.9703 3.5932 3.2923 3.0785 3.4432 2.6213 2.4083 2.2602 2.1614 2.1351 2.0412 It looks like exponential function or ...
5
votes
1answer
44 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 ...
4
votes
0answers
173 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 ...
1
vote
0answers
18 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 ...
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0answers
14 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
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0answers
33 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
1answer
33 views

Resources on Stone-Čech compactification

I'm currently studying R.C. Walker's book on the subject which seems quite extensive and detailed. I've also been skimming through Hindman and Strauss's book Algebra in the Stone-Čech ...
3
votes
1answer
94 views

Is there a 'Mathematics wiki' analogous to 'String theory wiki'?

I came across this site and am wondering if there is a similar page for Mathematics or its sub-areas. Would be very nice if there is one such site which provides 'canonical' references for each sub ...
2
votes
0answers
55 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.
0
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0answers
58 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 ...
0
votes
1answer
21 views

Absolutely rough planes

What is an absolutely rough plane? Can you give an analytical expression of one? Why cannot a rigid body slide on a rough plane? Why does the point of contact not move in an infinitesimal movement of ...
2
votes
3answers
145 views

Learning times tables?

I have some weird gaps in my learning, I can do lambda calculus and some basic category theory, but I do not know how to do some of the most basic of arithmetic. (I am in my mid 20s) Seeing this gap ...
0
votes
1answer
86 views

Online homework/testing systems?

I have been using Pearson's MyMathLab Global with my Engineering students. I appreciate its convenience, but the students find its inflexibility annoying (if an answer is expected to be 1.5, then the ...
0
votes
1answer
202 views

Competition style mathematics

I'm currently 18 years old and only as of the part year taken a strong interest in maths. I'm working with my school curriculum (UK a-level) and receiving A grades so I am happy with this. However I ...
1
vote
2answers
504 views

MOOCs for college-level discrete math?

Specifically I am looking for short lectures (and quizzes) on specific topics. (like Khan Academy offers) Topics I am learning about include; Intro logic-theory + set-theory Notation, negation, ...
4
votes
1answer
236 views

Online classes/books in multivariable calculus?

So does anyone know of any good online courses in multivariable calculus? (Or in a possible alternative leap of curriculum, if said path has proven to be better/moar interesting.) I'm coming straight ...
-1
votes
1answer
153 views

Sketching a piecewise function online [closed]

Is there any website I can input this function into so that I can sketch it and label any asymptotes? $$f(x)=\begin{cases} \frac{1}{x+2} & \text{if }x<-2\\\\ |x^2-4| & \text{if }{-2}\leq ...
1
vote
1answer
127 views

Producing tree diagrams of formulae and expressions. (software request)

By "tree," let us mean a tree that is finite, ordered and rooted; but not necessarily binary (that is, every node can have an arbitrary number of children). Under the definition, most mathematical ...
1
vote
0answers
88 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 ...
0
votes
1answer
92 views

A website where I can evaluate a definite integral and also get a step-by-step solution

Does anyone know of a site where I can evaluate a definite integral and also get a step-by-step solution? Help appreciated. Thanks.
8
votes
1answer
239 views

Toddler introductions to higher mathematics

I bought my youngest (now 10 months old) "Introductory Calculus For Infants" by Omi Inouye a while back. It's actually an ABC book about the letter x and how no one ever plays with him until he meets ...
0
votes
1answer
87 views

Any two Poincare’s maps for a periodic phase space are diffeomorphic

My lectures examine in detail Poincare’s map for dynamical systems with a periodic trajectory. They, however, mention only in passing the construction for a dynamical system with a periodic phase ...
1
vote
1answer
46 views

Need a source for the following result: From $v \in H^1$ and $f$ Lipschitz it follows that $f(v) \in H^1$.

I am looking for a source of the following (or a similar) result: If $v \in H^1(\Omega,\mathbb{C})$ on a bounded domain $\Omega$ and $f: R(v) \to \mathbb{C}$ is Lipschitz continuous, then $f(v) ...
1
vote
1answer
176 views

Calculator for real and complex parts of a polynomial.

Does anyone know of a nice calculator for calculating the real and complex parts of a complex polynomial. Say, for example, I want to write the polynomial $p(z)=z^3+2z^2+1$ as a function ...
3
votes
1answer
2k views

Where can I calculate the exponential of a matrix online?

Where can I exponentiate a $3\times 3$ matrix like $\left[\begin{array}{ccc} 0 & 1 & 0\\ 1 & 0 & 0\\ 0 & 0 & 0 \end{array}\right]$ online? Is there some website where this ...
12
votes
1answer
733 views

Overview of basic facts about Cauchy functional equation

The Cauchy functional equation asks about functions $f \colon \mathbb R \to \mathbb R$ such that $$f(x+y)=f(x)+f(y).$$ It is a very well-known functional equation, which appears in various areas of ...
1
vote
2answers
199 views

Study regimen for discrete mathematics? - Lack high-school maths…

I have just gotten into college, and will be studying mathematics from next semester. (this course) Unfortunately I did not study mathematics for the last 2-3 years of high-school mathematics. What ...