Questions about the process of learning mathematics, both inside and outside a formal environment, including learning strategies, recommendations for learning particular subjects, and studying habits.

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14
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5answers
547 views

OK at Applied Math but Fail Pure Math?

Summary. Name Applied Math as AM, and Pure Math as PM. I want to succeed in PM but what am I doing wrongly? Am I too dumb, or is my brain unfit, for PM? Should I just stick to AM? Here, I read the ...
7
votes
2answers
319 views

The best balance in studying Mathematics?

I'm a student studying Mathematics at a university level. I've completed Single Variable Calculus, Differential Equations, Multivariable Caculus, Real/Complex Analysis, and Linear Algebra and I've ...
14
votes
0answers
204 views

How can a beginner researcher or Ph.D. student efficiently and effectively learn new concepts while staying motivated?

I hope this question is appropriate for MSE. The situation is that someone is reading a book (e.g. a monograph), possibly helpful in his/her research, and the content is sufficiently extensive or ...
11
votes
6answers
7k views

In what order should the following areas of mathematics be learned?

I am in a biological field (medicine) but I have genuine passion for mathematics. I want to learn it on my own , in my spare time. Mathematics , as I gather, is learned best when you have grasped ...
37
votes
2answers
599 views

Effective Research Notes

Note-taking for research is vital to your success as a mathematician. As I look back at some of my handwritten notes, I realized how poor they were. I had thought to myself, "What happened?" I was ...
28
votes
8answers
3k views

Math every mathematician should know [closed]

This question is meant as a companion to previously asked questions like Proofs every mathematician should know. More and more I'm beginning to see that there is just too much math to learn. ...
23
votes
2answers
1k views

Efficient ways to read and learn a new topic

I started reading the book "Topology without tears" by Sidney A Morris and lecture notes on "Elementary Number Theory" by WWL.Chen. To get the maximum out of the book and understand the material ...
48
votes
13answers
3k views

How to stop forgetting proofs - for a first course in Real Analysis?

I am taking my first course in analysis. I like the subject. I study it almost on a daily basis. I try to prove theorems on my own without even looking at the hints. If I really get stuck I just read ...
0
votes
0answers
9 views

Concept Learning algorithm in Artificial Intelligence

Im going through Machine Learning in Artificial intelligence(Artificial Intelligence by George F Luger-Page 398) . Im going through the candidate elimination algorithm. There is this specific to ...
74
votes
8answers
20k views

Learning mathematics as if an absolute beginner?

I dread mathematics, and I believe it's because I have come to associate mathematics with the experience of terrible teachers. All of my math teachers have been grumpy, but one in particular was the ...
5
votes
5answers
976 views

How might I refresh high school level mathematics and extend upon it much further?

I did well at Mathematics at school (top 0.1% in the country, approximately), however I stopped studying it when I was 16. Since then I've studied a couple of highly specific mathematics modules in ...
3
votes
1answer
522 views

Study Order for high school math

Here in Brasil math is "divided" on fundamental, average and superior, where superior is the math that you learn on universities, like calculus, integrals, limits, derivates, etc. My question is ...
4
votes
1answer
1k views

Self-study: part 2

So I'm thinking of doing the following course progression: Baby Rudin Finite dimensional vector spaces Halmos Abstract Algebra Herstein Big Rudin (Real and complex analysis). Is this a good ...
7
votes
2answers
635 views

How much rigour in proofs?

Just a quick pointer: you could probably get away with skipping to the last 2 paragraphs, as the rest covers my motivation for answering this question. Over this coming holidays I'm hoping to spend a ...
3
votes
1answer
949 views

Learning Math On my own

I'm a physics major and I'm pretty sure that I'm interested in theoretical physics research. However, I haven't been able to take math courses in a systematic way (as a math major would) due to ...
2
votes
2answers
392 views

Can SRS technique help math learners? [closed]

I have used SRS for learning stuff in other subjects like History and Language in the past (Using Anki). It seems like a good deal since I get punched with something I was about to forget at the point ...
15
votes
3answers
394 views

Why don't i understand “what is mathematics?” by Richard Courant

I am 14 years old and can do A level maths happily. However, I want to further my knowledge of mathematics to pave my way for more discrete maths and harder analysis etc. so I decided to pickup "What ...
5
votes
2answers
578 views

Math for a high school junior?

I don't find the math taught at my school too challenging so out of personal interest I teach myself other fields of math. I was wondering if you could recommend some areas with a bit more complexity? ...
5
votes
3answers
1k views

Help in self-studying mathematics.

Is this a reasonable list for who seek to learn mathematics by "self learning" program? and is it a well sorted list to follow? http://www.math.niu.edu/~rusin/known-math/index/index.html
2
votes
0answers
334 views

Schaum's Outlines for self-study

I wish to learn Physics via self-study. I realize that I have a long way to go as far as Mathematics prerequisites: I will need to begin with Precalculus(I took that course many years ago, so I am ...
5
votes
3answers
7k views

Math Textbooks for High School

I'm a high school student who is trying to figure out a complete course of self study for each year of high school. Is there a way to self learn grades of math without devoting too much time? For ...
3
votes
1answer
931 views

Complete course for self-study!!! [closed]

I'm the second-year college student in the Mathematics Faculty. I'm having difficulty in finding orientation for self-study. Can anyone show me the course of Mathematics in some universities in the ...
2
votes
3answers
89 views

easy activity to train finding pattern ability?

I realize that my math learning go wrong way. Wikipedia says math is finding pattern, formulating conjectures, and proving it. but my math learning didn't focus on them. memorizing formula doesn't ...
7
votes
5answers
2k views

Relearning Mathematics

First post, I'll try to make it clear and concise. I've been spending the past few weeks watching all sorts of space and science documentaries and it's ignited my eagerness to learn more about these ...
11
votes
3answers
205 views

Transitioning to Elementary School teaching and need some advice on bolstering my math skills

I'm an English major trying to make the transition to Elementary School teaching. For as long as I can remember, I've been extremely math-anxious and I've only done the bare-minimum level of Math work ...
2
votes
2answers
120 views

Recommended topics for Chemical Engineering grad.

I'm a Chem. Eng. grad. I did well in my math courses and I really like math. I've started digging for some more to learn on my own. I like applying math but I'm most satisfied when I have a deep ...
7
votes
3answers
1k views

Is there a correct order to learning maths properly?

I am a high school student but I would like to self-learn higher level maths so is there a correct order to do that? I have learnt pre-calculus, calculus, algebra, series and sequences, combinatorics, ...
3
votes
1answer
180 views

getting started self study

I am 14 and currently in year 10 (uk). I am very interested in maths and intend to pursue it. I currently can do C1, C2, C3 and parts of C4 edexcel exam board a level mathematics. However, when i ...
5
votes
4answers
729 views

Self-learning Mathematics

My question is very elementary, but I hope that you will endure it. I am currently in a CS Master's program and I notice that my skills in mathematics are lacking. My calculus course was 10 years ...
2
votes
1answer
159 views

Resources for exploring math without a teacher

The ability to understand the beauty of math requires rigorous study. However, most people do not have access to the kind of training pure math requires. Many of my friends easily get interested in ...
5
votes
1answer
84 views

Breaking Out of Algorithmic Thinking

I have been taught my whole life to solve math with an algorithm or method. My teachers in school trained us to identify patterns in equations and then use a method to solve it. No one has ever ...
3
votes
2answers
105 views

Time managment while self-studying rigorous mathematical textbooks

Lately I have been introducing myself to Calculus.But I have an issue with time. Namely I have found that on average I need about 2-3 hours per page of material.This of course includes finishing all ...
1
vote
2answers
85 views

Sufficient requirements for graduate school in Mathematics?

I am 24 years old, and I will be completing a degree in Computer Science in May 2015. Over the years, I have taken the Calculus series (up to Multivariable Calculus), Intro to Linear Algebra, Intro ...
6
votes
0answers
84 views

Strategy for self-studying after M.S.

For someone who has finished their M.S. degree in pure mathematics, what is a good way to keep learning mathematics within your specialization? Would you suggest reading research articles from ...
0
votes
1answer
79 views

Need an Algebra 2/Precalculus text to prepare for Calculus

I'm about to finish my Algebra 1 text and I could use some recommendations for a text to prepare for Calculus. I've searched through several forums and some of the books I've seen recommended are: ...
1
vote
1answer
99 views

Help me with a learning plan!

Now I'm a third-year software-engineering undergraduate and my university doesn't provide proper mathematical basis, so I want to learn all the basic things by myself. Here are subject I'd like to ...
2
votes
1answer
73 views

Decided to finally jump in

I've finally decided to jump into teaching myself math because I am a junior (soon senior) in high school and have been interested in math for the longest time. I am not sure if this question belongs ...
1
vote
1answer
113 views

Math self-study in the holidays

In the upcoming holidays, I have got 6 weeks free to learn some new math (I was thinking of calculus and linear algebra). It's useful for my high school math skills (I don't live in America, so my ...
-1
votes
3answers
95 views

Learning timetables

This is a basic question, but I am revisiting them due to some examinations I need to take that involves mathematics. I want to be nimble with mental arithmetic so have decided to go back and learn my ...
1
vote
2answers
51 views

How do you move from just plugging in variables to an equation to actually understanding the equation?

I really can't say I focused on math when in school (didn't focus much ) , but now much later in life, I am trying to learn math. While I can sometime just plug and chug variables into an equation ...
2
votes
1answer
69 views

Complete list of math topics to study up to college level math?

Aspiring mathematician here. I have always been fascinated by math, physics, and just logic in general. I have noticed that I generally grasp topics and ideas quite quickly, but I am being hindered ...
2
votes
0answers
79 views

How to Read Michael Artin's Algebra

I am currently reading Algebra by Michael Artin (for self study). I'm finding the book pretty interesting, but I'm still not sure how I should study the book. For example, should I try to prove every ...
4
votes
1answer
71 views

I love maths, but my school is limited in its teachings. [closed]

I'm not sure how well this question will be received but, I feel there is no harm in asking. I'm 17 soon to be 18. I was in my applied maths course, but not anymore, not due to difficulty, but I can ...
3
votes
2answers
50 views

Simple everyday math

I am looking for a book that contains (instead of crossword puzzles) math problems beginning with simple addition, subtraction, multiplication and division and progresses to more difficult area ...
2
votes
0answers
68 views

From newbie to professional, the path.

I left school long time ago because of family stuffs and with this I left many subjects behind and since then I try to find something to do and when I discovered the computer and what I can do with it ...
0
votes
1answer
46 views

How to find a sequence?

Is this a serie or a sequence (or both), and how can be found an equation for such? $3$ - $6$ - $15$ - $45$ - $153$ - $561$ - $2145$
1
vote
1answer
73 views

How to calculate number of triangles and points after dividing a triangle n times?

When having a triangle and dividing it n times, how to get the number of triangles and points? ...
0
votes
3answers
53 views

Sum with three notations around it.

Have seen the below notation (How to calculate number of triangles and points after dividing a triangle n times?) and need to break it down into plain english so to speak. This just so I can catch up. ...
2
votes
1answer
41 views

Why is it so difficult to obtain the spectral properties related to infinite matrices, especially when they are not symmetric?

I believe most of the spectral theory is revolving around the bounded self-adjoint linear operators being analogous to real symmetric infinite matrices. Whereas, there are cases when the matrices are ...
13
votes
0answers
297 views

IMO programs of different nations?

We have a good team in the IMO, and this year I can, and probably will, be part of it. Since we as a country do not have a public training programme, I have to consult the training programms of ...