Learn Math without Taking Courses: A Beginner's Guide

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Discussion Overview

The discussion centers around self-directed learning in mathematics, specifically for beginners who are interested in advancing their knowledge beyond basic functions to topics such as derivatives and integrals. Participants explore various resources and strategies for learning math without enrolling in formal courses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses a desire to learn more math but cannot take formal courses, prompting inquiries about alternative learning methods.
  • Another participant suggests acquiring good books, particularly introductory calculus textbooks and those with solved problems, such as Schaum's outlines.
  • A different viewpoint recommends focusing on elementary skills and suggests "Basic Mathematics" by Serge Lang as a resource that emphasizes proofs and mathematical reasoning.
  • Some participants propose that studying topics other than calculus might be more enjoyable and beneficial for a beginner.
  • One participant shares a link to an online resource that helped them learn derivatives and integrals quickly, indicating the potential of online materials for self-study.

Areas of Agreement / Disagreement

Participants generally agree on the importance of self-study and the use of books and online resources, but there are differing opinions on the best approach to learning math, particularly regarding the focus on calculus versus other mathematical topics.

Contextual Notes

Some participants mention the need to assess one's current knowledge level and mastery of basic concepts before advancing, but there is no consensus on the specific path or resources that are most effective for learning math independently.

Who May Find This Useful

Individuals interested in self-learning mathematics, particularly beginners looking for resources and strategies to advance their understanding without formal education.

Gramsci
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Hey,
I'm not advanced in math at all, I only read and finished basic functions. But now,I´m real interested of learning more math, derivates, integrals and other stuff. How could I learn this and is there any way that I can learn more math? I can't take courses :(
 
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You can't take courses?
 
If you cannot study formally, then pick up some good books. A standard introductory calculus textbook can be had pretty cheaply through a used bookseller or through ebay. You might also want to pick up some books that have a lot of solved problems, like the Schaum's outlines.

- Warren
 
education

Nope, can't take formal courses.
Give me tips of books!
 
What math have you taken (or know)?

If you just want to have fun with math, I would probably recommend studying something other than calculus. Or maybe study calculus a little more on the theoretical side. Doing all those computations is extremely boring, but learning about how calculus works is pretty cool.
 
well

I think it would be interesting just to be better at math actually, knowledge is always good ;)
 
You might need to tell people exactly how much you know, and how well you know it. I think it's better to work on the elementary skills until you truly master them (unless school requires you to move on). One book which I personally enjoyed is "Basic Mathematics" by Serge Lang. A very good book which presents lots of very elementary concepts in a more advanced way using proofs, proper notation and mathematical reasoning. You will most likely already have been exposed to most of the subjects, but when you actually read it you will start to understand most of them much better. What kind of number is the square root of 2? You'll probably say irrational, however why is it irrational? Can you prove it? What exactly is the set of irrational numbers? Subjects like these are in chapter 1. I especially like it for its emphasis on proving things, which helps you develop your problem solving skills. However if you are already confident with all this stuff, then you may move on to another field like calculus.
 
Hi, this is my first post on this forum ;)

Gramsci, I have had that problem recently, but I've found an interesting site. You should try and take a look at it. Thanks to it, I've learned derivatives and integrates both within one day!

Here is the link: http://www.mathsnet.net/asa2/2004/c1.html

The navigation is simple - if you want another piece of material, just click the links C1, C2, C3 ... on the top of the site.

Good luck!
 

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