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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1answer
61 views

Suggestions for complicated math concepts that a child can understand

My son really loves math (so do both his parents, for that matter), and does well at it in school. I will give him math puzzles or tricks now & again, as well as introducing him to Khan Academy ...
8
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2answers
199 views

Advice in Bachelor Degree

First of all, I´m very sorry for my bad english, especially writing. Ok, for differents problems i´m studing a Bachelor degree in Mathematics. These degree is online. Now, the problem with my school ...
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1answer
87 views

Is there a math news website or publication (for mathematicians)?

I'm an undergraduate math and physics major aiming to pursue a Ph.D. in either pure math or theoretical physics. I don't read traditional newspaper or news websites, since in my opinion they are ...
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2answers
407 views

How to study abstract algebra

I am taking Abstract Algebra course at the university. We are doing chapters 1-20 from Gallian's abstract algebra text book. I am just doing assigned homework everyweek ( About 5 questions from each ...
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3answers
47 views

Commutativity or Distributivity - Which One to Use to DEFINE Multiplication of Negative Numbers?

It's easy to calculate $3 \times (-4)$, using the meaning of multiplication: $3 \times (-4)=(-4)+(-4)+(-4)=-12$. But it's not the case about $(-4)\times 3$! To DEFINE $(-4)\times 3$ we can choose ...
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1answer
169 views

Is the computer changing the way we teach and learn math in schools?

Back in school, what I got taught during school was labeled 'math', but it was actually 'rote arithmetics.' This seems to also be the case of many other people. Some came to hate it and never came ...
3
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1answer
108 views

New ways to light the fire again

Recently I've been studying a lot of analytic geometry and this subject made my motivation drop. The thing is, the courses aren't stopping and I'm beginning to lose the passion I had before. I need ...
9
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2answers
782 views

Learning Abstract Algebra for a graduate degree

I would like to do a graduate degree in mathematics, and I have a full year before I will be able to do so (for personal reasons). I mainly have my weekends available to study. I am interested in ...
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2answers
336 views

How to do math and help people

I am currently an junior math and statistics student at the University of Florida. For my whole life I have really enjoyed math and really do find a calling in mathematics. Math classes are the only ...
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2answers
70 views

Product recommendation from user answered questions [closed]

This is my first question on MATHEMATICS, I'm normally asking and answering on Stack Overflow! Anyway, I have a specification at work for an app I'm building. The app should allow a user to answer a ...
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1answer
358 views

Best way to learn from THEOREM-PROOF format?

I've always loved the theorem-proof format in textbooks, e.g. Hardy and Wright's Introduction to the theory of numbers. However, the problem is that I can't remember anything I read in this format ...
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2answers
256 views

Which books to study category theory?

I am an amateur math researcher in the field of general topology. I've set the purpose to learn enough category theory for my research. After reading Steve Awodey, "Category Theory", 2010, is it ...
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2answers
167 views

What is the order of math topics that people learn math in?

You know how they say to learn algebra first, then learn geometry, then trig, then calculus...etc? So after that, is there an order of what to learn next? If so, I'd like to know what comes after ...
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1answer
398 views

Specific Advice/Tips to Streamline Studying Math [closed]

1, 2, 3, 4, 5, 6, 7, 8, 9: Notwithstanding these instructive threads withal, I'd like to ask about concrete aids/boons/ideas on learning and studying maths, with straightaway impact. They can be ...
0
votes
0answers
47 views

Please help me about conjugate gradient method

As I know, the error function of neural network is the sum of difference between actual output and the target value. But in conjugate gradient method, they use quadratic function: $E(w) = \frac{1}{2} ...
2
votes
1answer
161 views

Math writing solutions

I will begin to learn in the university next month and I would like to know what is the best way to write math except from handwriting? I am not sure if to use a mathematical software, digital pen or ...
5
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6answers
165 views

When learning maths, should I review past topics?

So I've been learning maths from online video lectures and books for some time now and, as is probably quite natural, I have forgotten some of the stuff I've already read through. That'd be mostly ...
0
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1answer
57 views

relevant pure math for optimization

I'm interested in optimization generally. I don't know enough to break it down to sub-fields that I would work on. Probability and statistics seem relevant. What about calculus of ...
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0answers
109 views

Where to start?

I want to learn Mathematics but I don't know where to start. Sometimes I really get frustrated as I am a Software Engineering graduate (currently working) and I feel like I don't know anything about ...
7
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1answer
134 views

Is it a bad idea to study modern algebraic geometry without having any background in smooth manifolds?

I have a chance to take a course in algebraic geometry developed in the scheme theoretic setting and am considering my options. I have taken graduate courses in general and commutative algebra and ...
0
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3answers
177 views

Recommended math background for game theory

I recently got interested in some game theory applications to poker. I want to try some of them out programmatically, but a lot of the math is a bit confusing. I learn math on my own fairly quick and ...
2
votes
2answers
750 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
2answers
182 views

Training to actively learn, think and use mathematics studied and construct everything on ones own

Someone said this: "Memorizing the entire Swedish dictionary will never make you mastering Swedish. Same to Maths, the only way is to actively think & use basics you absorbed so far to practice ...
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4answers
131 views

Resources to help an 8yo struggling with math

Friends of mine asked me for suggestion for one of their children (age 8) who had bad scores at the local Star test (the family is based in California). Both parents work, so they have also limited ...
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2answers
170 views

How to determine the big questions in a field of mathematics?

During my self-study (and soon to continue at a university) of mathematics, one thing I have been interested in is how to to effectively learn the material. An answer to a question provided by ...
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0answers
68 views

Recommend me math textbooks from prealgebra to undergrad level. [duplicate]

So I've been reading through math.stack exchange and physics forums and r/learn math to find a comprehensive list of math textbooks to learn math from the ground up. I'm more wanting to do so to ...
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3answers
459 views

Books for a beginner

I am a student of 11th grade and i have completed the syallabus of both 11th and 12th grade maths with complete understanding and it was possible coz of the love for this subject that i have. I don't ...
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1answer
100 views

About having everything well under control [closed]

When I started doing maths I "rediscovered" some elemental things and listed them on a notebook. All things I learned were in there, like Pythagorean theorem, sine and cosine definitions, some ...
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5answers
296 views

How important is a teacher / tutor?

I am doing fine in my classes and enjoy math. That is not the issue. During my spare time, I am doing more advanced stuff than my class is currently doing. My question is though, would I benefit more ...
258
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29answers
37k views

My sister absolutely refuses to learn math [closed]

My 13-year-old sister has a problem which, given the way math is currently taught, I doubt is anything but all too common. She has a low grade in her math course and only ever attempts to memorize ...
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vote
2answers
226 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 ...
6
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0answers
116 views

How much of the content from past classes do people remember? [closed]

I'm currently a third year math student and I am preparing to take my GRE subject test. As I study for the test I feel as if I have forgotten much of the content from classes that I've taken in the ...
0
votes
1answer
80 views

Problem with lowercase versus uppercase.

I often attack problems on two levels, a verbal level and a visual level. At a visual level, I try to imagine how everything is related - I arrange the ingredients of the problem into a two (or ...
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1answer
73 views

How can I prepare effectively for this test?

I live in Australia and I will be doing my final high school mathematics test in 5 months from today. The test is about the following topics: Differentiation and Integration and their applications ...
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3answers
200 views

learning/teaching approach to rigorous math with the goal of improving

I will state this now: yes, this is a subjective question. But I feel the answers people give may benefit students. I want to get better at doing non trivial proofs. Real analysis is standard ...
2
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2answers
270 views

The maths required for an economics degree

I have a degree in computer science and I wanted to do another degree in economics. However, my maths have been weak since high school always scoring slightly above passing rate. During my course of ...
3
votes
1answer
266 views

Looking for a math study/project-mate

I'm a math major and was wondering what to do over this summer, since I'm not going for any internships/have any fixated family agenda. I was thinking of working out a book, like Spivak, or work on a ...
5
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2answers
332 views

In what order should mathematical fields be learned? [closed]

This could be considered a broader version of this question, with all fields. I know that when high-level maths are reached, the fields being to split quickly (i.e. specializing in this type of ...
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4answers
134 views

What math will I need in order to learn Microsoft's UProve?

I'm studying Microsoft's UProve (independent studies at 35 years old) and forget most of the Math I learned in college. I intend to proceed and learn the contents of this chapter of this book but can ...
0
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1answer
295 views

What branch of mathematics improves logical thinking? [closed]

So, that's the question. I dare to generalize it even wider: what branch of mathematics improves the general thinking ability, intilligence, the way the person thinks, and makes it more logical? I'm ...
10
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2answers
2k views

Is it better to learn math before physics?

It seems that a persons ability to understand physics at a high level is limited primarily by their understanding of math. It also seems to be more efficient to learn the underlying math for a ...
4
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0answers
193 views

How does one study with many textbooks?

Suppose you wanted a good understanding of a subject, and so you start reading a recommended textbook. But it turns out that the textbook you have has a different perspective/omits certain topics, ...
5
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2answers
506 views

How can I make sure I never forget.

I am currently refreshing my Elementary Algebra using Schaum's Outlines. I find them useful as they are choc full of exercises (Which I now realize is the only way to master algebra). I am worried ...
6
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2answers
227 views

Rigour vs intuition

Researcher David Tall has written in chapter one of Advanced Mathematical Thinking that ...
2
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2answers
98 views

Infinite series help

Are there any hard and fast rules for finding the sum of an infinite series? What suggestions would you have for someone new to learning them? Memorize identities? Also, what are the best resources ...
18
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1answer
325 views

Learning Aid for Basic Theorems of Topological Vector Spaces in Functional Analysis

I am self-teaching myself the basics of functional analysis (e.g. topological vector spaces), and frankly I am starting to get a migraine sorting out/organizing in my head all of the ...
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3answers
580 views

Do free online collaborative solution manuals exist?

I'm not a mathematician by training and a rarely come in contact with mathematicians. For this reason I find solution manuals to be incredibly useful - reading them allows me to see how experienced ...
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1answer
52 views

From (almost) zero to knowledgeable in statistics

I work in (server) operations and it is not very uncommon for me to parse logs and try to make sense of some kind of metric. For some odd reason I have grown quite fond of it. Assume that I have ...
6
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1answer
436 views

Philosophy of learning mathematics (combinatorics)

How does one learn mathematics in depth and well? I think I may be studying mathematics incorrectly, or I could be doing it a lot more efficiently/effectively. Sometimes I feel like I need every ...
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3answers
423 views

Where to pick up learning math again?

In high school, I absolutely loved math classes. I took Calc in 11th grade, and then since have done just about nothing with math. Is there somewhere I go to see what math knowledge I still ...