Questions tagged [learning]

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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82 views

is it possible to learn math like learning to program? [closed]

If you feel the need to close the post, please at least read the whole post, I really think it will be very useful for other people. I am a programmer, and my personal believe is that math math should ...
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2answers
52 views

Learning math under time pressure

I'm taking my first and only university math course, discrete mathematics. We have about a week and a half to learn a full chapter (around 50 pages) from the book and do the related assignment. As I'm ...
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Is the amount of change to mathematics as a subject in the past 100 years abnormal? Or will math be radically different say 1000 years from now?

I added the category theory tag to increase the likelihood I can get a graduate student or mathematician to respond/answer/comment, since having 'category theory' as a filter is biased towards those ...
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42 views

Where to find Study Groups for Mathematics?

I’m doing my master’s on Optimal Transport, and I’ve been reading “Optimal Transport for Applied Mathematicians”. The book has been challenging, and I’ve started to wonder if there were online Study ...
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61 views

How to approach studying and proofs in Graph Theory? (question maybe applies to all of Discrete Math)

I am taking a Graph Theory course and putting a whole lot of effort into it. I learned all the central theorems and can recite the key elements of each of their proofs and replicate the proofs. ...
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1answer
108 views

How to Study math from a book. [closed]

I am studying calculus from a book which has 8 chapters. The book starting with explaining the subjects, and during the book there are problems with answers that is about the subject. and also at the ...
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3answers
265 views

How is analysis beautiful? — confusion from an algebraist [closed]

As a math major about to go into grad school, I find the algebra-side of mathematics beautiful and inspiring -- I like to explore the hidden structure of things. I also find the geometry/topology ...
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2answers
107 views

Multiple simple questions from someone who just started self learning mathematics

this is my first question. My background is some analysis/calculus (In Europe it's a mix of both I guess) undergraduate course in an engineering college and a very very little knowledge of linear ...
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33 views

Is there anywhere one may obtain recommended readings from textbooks, similar to a university course?

I'm currently going through Spivak's Calculus as a form of supplementary material since I find the 'notes' provided by my introductory calculus course lecturer is too hand-wavy and not very intuitive. ...
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2answers
103 views

Suggested resources for self-teaching relational algebra/calculus

I apologize if this question is on the wrong site, but hopefully I am asking this question on the correct site (and it's not, for example, for DBA professionals). I am looking to learn a somewhat ...
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93 views

How to read Alain Connes's Noncommutative Geometry [closed]

I'm a undergraduate student interested in noncommutative geometry and quantum field theory. And I have learned basic functional analysis,theoretical mechanics,basic quantum mechanics, now, I'm ...
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1answer
85 views

What would be a good self study textbook for 1-variable calculus with a pinch of multivariable?

About 10 years ago I took calculus 1 and 2. I know a few basics. Like integrals are good for areas of curves. And derivatives are good for finding relative slopes. I have decent grasp of simple ...
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112 views

Competitive attitude is devastating my ability to learn mathematics [closed]

I am an undergrad student studying Physics. Although it isn't essential, but I am trying to study the Mathematics syllabus for Math undergrad. I don't really enjoy doing it. But, inside I feel I need ...
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51 views

Soft question regarding studying and dyslexia

Recently (as a finalist undergraduate) I discovered I am dyslexic (slow processing disorder and poor short term memory). This came as no surprise but simultaneously as a massive shock. This has ...
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2answers
115 views

How do I teach myself mathematics? [closed]

I am looking for a rough guideline of the steps I need to take in order to gain an advanced understanding of the theory and applications of mathematics. What skills would I need to perfect in order to ...
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91 views

A different approach to counting?

I'm having substantial difficulty learning counting. The subject appears to be presented as a large, scattered collection of contrived formulas, few of which are obvious, with very little explanation ...
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1answer
72 views

Is there a path to learn all mathematics? [closed]

What I mean is that if it's an order in learning all areas of math like first arithmetic, then algebra, etc.
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1answer
64 views

Are there any real & decent mathematics video games?

Personally, I like to play video games from time to time, especially arcade games (e.g. Tetris, pinball) or fast-paced games like Super Hexagon, which is known to be quite challenging. However, for ...
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36 views

How to write a possibly cubic equation given a set of coordinates

Given a specific set of coordinates, I'm trying to write an equation that will describe their curve. By graphing the coordinates, I believe it should be a cubic equation. But there is only one root ...
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3answers
170 views

Knowing a proof versus understanding it

How does one make the jump from merely "knowing" the steps required to prove something to being able to deeply understand them? I can often look at a proof/see a professor explaining it and I am ...
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1answer
89 views

What is the reason to explore and study the Real Analysis Area? [closed]

I repeated 4 analysis classes, this is the 5th time. I believe I'll pass, but I still can't understand Real Analysis. I can understand statistics, numerical analysis, Calculus I-II and even Topology, ...
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85 views

List of topics in mathmatics

Is there any list out there which lists all of the areas/branches/subjects/topics (including current research fields) in mathematics? (not the MSC, which misses out on many topics, such as domain ...
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76 views

Restoring Maths Confidence [closed]

As part of training for mathematical olympiads, I've started looking into a lot of more advanced mathematics. I love maths, but recently, I feel like my confidence has plummeted. I can't work on ...
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1answer
64 views

Analyzing math equations

This could be to a certain extent a philosophical question and I might know the answer already but I am interested in what others think. My question is roughly the following. Let's say I am reading ...
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2answers
144 views

Handwriting vs $\LaTeX$ [closed]

Until a few months ago, I would handwrite practically all the math I wrote. However, I've been using LaTeX to typeset notes, assignments, etc quite extensively since then - to the point that I've ...
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33 views

How do I solve this math problem $Vf_o - V_sf_o= Vf_s$?

https://m.youtube.com/watch?v=EG_xPQb1MnA Why did he subtract the letters from each other at $9:33$? Why didn’t he just factor $Vf_o - V_sf_o= Vf_s$ as $V(f_o-sf_o) =Vf_s?$ Skip video to $9:33$ ...
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71 views

Recommendation request for formal online maths notes.

I know that there already has been a thread here on Mathematics StackExchange roughly on the same topic: Best Sets of Lecture Notes and Articles (among others), but even there, I have not found the ...
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1answer
84 views

Asking 'why' too much in math and dont know when to stop. [closed]

sorry if the question seems weirdly phrased. For a long time, the way I have done math in general is to sometimes just accept things as they are. For example, Pythagoras Theorem states the way to ...
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2answers
91 views

How should I change my study habit of university math? [closed]

I'm currently in my final year of a physics major. I have always been interested in math, and decided to take some courses in the math department. I have taken a semester of Mathematical analysis ...
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2answers
68 views

Why does mathematics work the way it does and how can I improve my approach to understanding mathematics? [closed]

Apologies if this sounds pretentious or dumb but I don't understand why mathematics works the way it does and that often hinders how I learn. When I approach a new topic, such as geometry or algebra, ...
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2answers
91 views

relearning something in mathematics? [closed]

I find that the following scenario happens to me quite a lot in my studies as an advanced undergrad: I take a relatively difficult course and do well in it. Eight months down the road a specific topic ...
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1answer
60 views

Learning Mathematics in a Difficult Situation

I'm in high school right now and I feel so lost in math. It's not so much about doing the problems but it's more so establishing a firm base of understanding that I need. I feel as if I need to learn ...
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66 views

Studying from class notes first year at university

I am studying pure math for first year at university. In the first semester, I would only read notes from class and would refer to books or online sources that I could find(but I would only read). I ...
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1answer
74 views

How to simplify the trigonometric functions sine and cosine in a derivative?

I am learning calculus and came across the following problem: Find $\frac{dx}{d\theta}$ when $x=\sin^2\theta \cos^3\theta$ I solved this using the product rule. $$u= \sin^2\theta \qquad v=\cos^3\...
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How to prepare for algebraic topology exam

I have 2 weeks of studying for my algebraic topology exam (based mostly on Hatcher's book - including homotopy, fundamental group, covering spaces and homology). Problem is, my lecturer was ...
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4answers
115 views

How do is solve $\frac {12}{4}x+\frac{4}{2}=\frac {4}{2}x+\frac{12}{4}$?

How does $\dfrac{12}{4}x + \dfrac{4}{2} = \dfrac{4}{2}x + \dfrac{12}{4}$ simplify to $3x + 2 = 2x + 3$ when I used an online calculator. But when I simplify the fraction, I get $4(3x+2)=4(2x+3)$. What ...
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Why writing equations in two column explanation is bad math?

A question arised while I was reading "A Guide to Write Mathematics" (by Dr. Kevin P. Lee, p. 5) about writing explanation of steps, in equations calculations or listing some equations, without using ...
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1answer
56 views

Should I focus more on the concepts or on the calculations?

I passed the real analysis course at my college and now, after 3 years, im not that good anymore at integrating, solving big complicated limits etc. But I still remember the concepts behind them. Now, ...
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30 views

Temporal difference learning

I understand that the concepts of temporal difference learning can be used for prediction (and not necessarily control problems like solving a MDP problem). Could somebody mathematically explain ...
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27 views

Solution for problem 12.10 in Reinforcement learning book (By Sutton and Barto)

I am trying to solve the problem 12.10 of the book Reinforcement Learning: An introduction by Barto and Sutton. In this problem, it is to be proved that $$G_{t:t+k}^{\lambda}=v(S_t,w_{t-1})+\sum_{i=t}^...
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1answer
237 views

A Question About the Order of Learning from the Book “Lectures on the Curry-Howard Isomorphism” (1998)

I'm learning from this book: https://disi.unitn.it/~bernardi/RSISE11/Papers/curry-howard.pdf (Lectures on Curry-Howard Isomorphism - 1998 version) for some project. And due to time constraints, I ...
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78 views

How to recognise connections/relationships to solve difficult problems?

As an undergraduate (I don't study maths primarily, but employ these in the study of econometrics/economics), I've come to realise that solving difficult problems in fact hinge on one's ability to ...
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1answer
33 views

How the following sum equal to 1?

Assume a parameter $x\in [0,1]$ then how to show that the following sum is equal to $1$ $$(1-x)+(1-x)x+(1-x)x^2+\cdots (1-x)x^{T-t-2}+x^{T-t-1}$$ where the limit $T\to \infty$ and $t$ some integer ...
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63 views

How should I go about learning more diverse fields of mathematics?

I am a beginning PhD student and the topic of my thesis is somewhere between real analysis, functional analysis and theoretical numerics. However, I am really curious about many (or rather most) ...
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1answer
23 views

There are 5 shows. In how many orders can Marie watch 3 of them?

Marie has five television shows recorded on DVR. She has enough time to watch three of them today and must decide in what order she will watch them. How many different orderings of the three shows she ...
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1answer
53 views

Can anyone tell me how to solve this GED Math problem?

A cookie recipe that makes 24 cookies call for the following ingredients: 2 3/4 c. Flour 1 1/3 c. Sugar. 3/4 c. Butter 1 egg 3 1/2 t. Baking powder 1 1/2 t. Vanilla extract Amy is ...
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2answers
48 views

Does any one know the answer to this GED Math problem? [closed]

The Manager of a department store has to hire a new cashier, a new salesperson, and a new shift supervisor. If there at 3 applicants for cashier, 8 applicants for salesperson, and 5 applicant for ...
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2answers
132 views

Difficulty in learning maths

I am an undergraduate student in Mathematics. I am writing here because I think I have a problem in the way I study Math. My grades are pretty good, but I think that I am not able to effectively ...
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1answer
131 views

How do I know whether I am fit to study mathematics?

I am 21 years old, with an unfinished degree in applied maths and informatics (basically CS), having transferred to a university in a different country about a year back and I for this past year all I ...
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1answer
99 views

How do I get better at this? [closed]

In undergraduate studies, I always had such respect for the professors and TA's that seemed so impossible to stump. The people who seemed to know everything, whether it be an intricacy in Galois ...

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