Studying Math on My Own: A New Challenge

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Discussion Overview

The discussion centers around self-studying mathematics in preparation for upcoming studies in computer science and math. Participants explore strategies for independent learning, resources, and areas of mathematical interest, while also reflecting on their previous educational experiences.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a desire to strengthen their math fundamentals before starting college, seeking guidance on how to study independently.
  • Another suggests that understanding material and practicing problems is essential for self-study, highlighting the value of discussing ideas with a professor for clarification.
  • Participants request and offer book recommendations for various mathematical fields, indicating a need for resources to aid their studies.
  • One participant mentions a preference for broadening their math knowledge without a specific focus, although they express interest in statistics, combinatorics, and number theory, while finding geometry less appealing.
  • Another participant inquires about the extent of the original poster's high school math education, specifically regarding calculus.
  • There is a recommendation for the K&R C programming book as a resource for learning programming, with a comparison made between learning programming and learning math through practice.
  • A participant reflects on their high school experience, noting that they learned calculus without a deep understanding of the concepts.

Areas of Agreement / Disagreement

Participants generally agree on the importance of self-study and the need for resources, but there is no consensus on specific mathematical fields of interest or the best approaches to studying independently.

Contextual Notes

Some participants express uncertainty about their previous math education and its adequacy for future studies, indicating potential gaps in knowledge that may affect their self-study efforts.

Eshez
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Hey everybody.
I'm about to start studying Computer science and Math in 4 months.
I have a lot of free time now, the studies where I am going to be are known to be extremely challenging.
I'm trying to make a good use of my time, I've started studying some C programming by myself which goes pretty well and is lots of fun.
I was thinking I should do the same with Math, get some better fundementals on the big topics instead of wasting the time I have.
I've always loved Math, I've never got much further than high school level but I am pretty sure I have the right mind for it.
My question is, how can I study Math by myself? I can understand stuff for myself and don't really need a teacher(for the basics ofcourse) but I do need some overall guidence.
I can't say I remember much from the high school studies, they were poor and I have to go through an army service since than. I guess that recommandations of good basic articles in the main fields(Algebra, Geomerty, Number Theory, whatever is important :)) would be a great help.

Just tell me whatever you think.
Hope this kind of topic suites this forum.
Thanks in advanced!
 
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Read and /understand/ the material then work out problems. That's pretty much IMO the best thing you can do when you're by yourself.

The benefit of being able to have a professor to talk to is that you can share your ideas with them and they can correct you if you're wrong. You can discuss problems with them and hopefully clarify things that you do not understand. This will definitely aid in studying apart from reading and working on problems (practicing).
 
thx. good chance i'll go ahead any buy this book, been told it should do a good job :)
any other ideas for books would be awesome, I have 50$ in my paypal account waiting to be used..
 
oops, I was talking about a book someone has recommanded me on another thread.
anyhow, book recommandations would be awesome.
 
First off, if you have not, check out this thread started by a math professor: https://www.physicsforums.com/showthread.php?t=122924

It provides a lot of information about studying mathematics.

Before anyone can recommend any books, which field(s) seem particularly interesting and something you would want to study?
 
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thx.
I'm not really interested in any particular field at the moment. I just want to broad my Math knowledge in any possible direction. I do prefer studying stuff that will eventually help me out with early college Math studies, but that's not highly important.
from my shallow math knowledge, I know that statistics, combinatorics, number theory are all interesting. only thing I can say is that geometry seems to be less at atractive to me, but you can't really judge anything from high school level studies.

good day :)
 
What have you covered in high school? Up to pre-calculus or have you calculus?
 
As for preparing for your Comp Sci stuff, I highly recommend beginning going through the K&R C book here:

https://www.amazon.com/dp/0131103628/?tag=pfamazon01-20

(if you aren't already), doing all the exercises (it takes a lot of time, don't expect to get through the book quickly). Programming is just like math, you learn by doing.

Also there are a lot of badly written C/C++ books out there that are likely to just confuse you, or over simplify things.
 
K&R C is a great book, I also recommend it if you're trying to learn C.

Don't mind the type-set the book's content is priceless.
 
  • #10
Hey,
I think I'm doing pretty well with the programming, I know two guys who help me when I need it and I don't have to sweat too much to understand the basics.

as for high school, your being taught how to pass your finals, you learn how to use the calculus without having a clue what it is. we did got to calculus, I can't say I remember much about it although I think I just need to refresh my memory a bit.
 

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