# Tagged Questions

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

31 views

### multiplication and division first, then addition and subtraction in equations written in prose

This might be a pretty stupid question, but the following was asked in a german quiz show: "How much is two times two plus two divided by two minus two?" My question now is, is there any literature, ...
46 views

### Equality on classes

On every set $A$ there is an equality $=_A$ defined. This is necessary to speak about injectivity, surjectivity, the group axioms and so ... In category theory, one uses classes to be collections of ...
39 views

### Comparing Coefficients for Partial Fractions

See this simple example : $$\frac{x+1}{(x-1)(x-2)}\equiv \frac{A}{(x-1)}+\frac{B}{(x-2)}$$ Then we can get $x+1 \equiv A(x-2)+B(x-1)$ for $x \neq 1 ,2$ My Question : Is it correct to put $x=1$ ...
41 views

### Can I make it without times table memorization? [closed]

I am 24 years old and I am planing to get into mathematics sense it is essential In science. I have big plans and Math is the very first thing I want to focus on. I have very important question that ...
23 views

### what can we say if we just know the global section has a given universal algebra structure?

Given an universal algebra A, how to reconstruct a topological space X with some universal (and natural) property (e.g initial,terminal...)in the category of topological spaces whose global sections ...
65 views

### Why do we require that a simple Lie algebra be non-abelian?

We say that a Lie $k$-algebra is simple if it is a simple object in the category of Lie algebras, and also nonabelian. The only simple object which we do not consider to be a simple Lie algebra under ...
103 views

### Should I be concerned if I cannot solve most exercises in my textbook?

I'm self studying introductory real analysis. Out of the proofs in each lesson section and the proofs in each exercise section, I can usually work out$\frac{1}{4}$ of them on my own. After trying to ...
52 views

### Is there a dictionary for math notation?

As a non-mathematician who loves the elegance of mathematics, I'm often confused about certain syntax I see. For example, $2+2$ is "2 plus 2" obviously. But things get more complicated when, for ...
23 views

### Very Basic Numerical Methods Book for Freshman students

To cut a long story short; the nature of this degree (it's not a college degree) is such that numerical methods is treated shortly after Calc I (single-var) and linear algebra, but before multi-var ...
27 views

### Group morphism or group homomorphism?

I apologize for my question that might sound stupid, but i noticed that my lecturer in abstract algebra course uses always "group morphism" instead of "group homomorphism". In the books i see it ...
141 views

### How should a mathematically-inclined person learn descriptive statistics?

I am interested in learning descriptive statistics. But I am completely baffled, that there seem to be no mathematically rigorous books on this subject, as far as I know at least. The Wikipedia page ...
40 views

123 views

### Recreational problems in set theory?

Most areas of maths that I can think of have a number of fun, recreational problems that come under their category. Nothing deep: number theoretic stuff in olympiads, integrals, limits, products, ...
65 views

### Difference between Advanced Calculus and Calculus on Manifolds?

This is an interesting distinction that I don't fully grasp yet. There's quite some books on the topic of the so-called "Advanced Calculus". Some of the most famous of these are the books by Edwards, ...
126 views

### How can I begin reading journals and papers?

I am an undergraduate CS student but I love Math and spend most of my time doing and reading Maths books. I realise that it's important to get into the habit of reading papers and journals so it will ...
44 views

### Is there Any Benefits for Casting a Convex Program Problem into Linear Program Problem?

I'm curious a relative broad question: Suppose I have a convex program problem in hand. (hence, I could use many well-developed software packages to solve this problem for sure; e.g., CVX..) But ...
66 views

### Understanding quotient topology and product topology (in the infinite case)

I have troubles understanding the concepts of quotient topology and product topology (in the infinite case). I know that we want to give a topology to new spaces built from the old ones, but the ...
46 views

### How can we recognize if something is a number?

There are formal definitions of various types of numbers; natural numbers, real numbers, ordinal numbers, cardinals etc. And we all regard them as some type of number. Are there properties that are ...
38 views

### Basis for the Definition of a diagonal matrix.

I found the definition of a square matrix on Wikipedia as Well my question is a very stupid one that why we defined the diagonal matrix on the basis of a main diagonal rather than the anti diagonal ...
74 views

### Any surviving contemporary manuscripts by ancient mathematicians?

As I understand it, most of what we know about ancient mathematics comes from copies, quotations, and summaries by later scribes and scholars. Medieval Arab mathematicians in particular are given ...
54 views

### What are some of good books in probability? [closed]

I am preparing for Ph.D entrances and my interest lies in probability and statistics. I am trying to learn it from William Feller's book but finding it quite difficult to comprehend. So please suggest ...
35 views

### Learning generalized functions

What is the best book to learn generalized functions and what prerequisites are needed? I would like a book that helps build intuition but it rigorous enough and not overly complex. My background is ...
3k views

### How long to do math each day? [closed]

I have seen some posts math.SE (mkko's answer) indicating that it is the norm for (undergrad?) math majors to study 70-80 hours per week. I'm a little bit shocked by that. For some background on me, ...
36 views

### Is there a statement inside of mathematics that is proven only with mathematical induction and with none other method?

Well, the point is that although the method of mathematical induction can be useful and is useful for proving certain statements, I somehow always like things to be proved in some other way than with ...
68 views

### “Lifting” fibres of morphism of arithmetic schemes to get rid of “nongeometric” ramification

This is a soft question and really a request for pointers towards a certain rigorous formulation of geometric intuition I've had for some "arithmetic schemes". I'm looking for ideas and key references ...
58 views

### On motivation, focus and mental state [closed]

I have a bit of a meta-question, but first let me give you some background. I used to be a very inquisitive kid, interested a many disciplines, in particular mathematics, computer science and physics. ...
### Are the assertions “$2 + 2$ equals $4$” and “$2 +2$ is $4$” identical
Are the assertions "$2 + 2$ equals $4$" and "$2 +2$ is $4$" identical? Or is this a linguistic, psychological or murky philosophical thing rather than a mathematical thing
### Mirror algorithm for computing $\pi$ and $e$ - does it hint on some connection between them?
Benoit Cloitre offered two 'mirror sequences', which allow to compute $\pi$ and $e$ in similar ways: $$u_{n+2}=u_{n+1}+\frac{u_n}{n}$$ $$v_{n+2}=\frac{v_{n+1}}{n}+v_{n}$$ $$u_1=v_1=0$$ ...