My Math Forum  

Go Back   My Math Forum > Math Forums > Academic Guidance

Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?


Reply
 
LinkBack Thread Tools Display Modes
February 25th, 2010, 10:51 AM   #11
Global Moderator
 
CRGreathouse's Avatar
 
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 938

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: How to begin advancing in mathematics?

Quote:
Originally Posted by croesoswallt
Would I be a fool to consider getting a 'Maths for Dummies' type of book?
No. But you may find that an 'off-the-beaten-path' approach is more fun. I think if you come across a subject within math that you really enjoy, it will encourage you to shore up whatever basics you missed so you can go further with that. For me, the subject was number theory -- and it's certainly approachable to someone at your level. (There are used textbooks for under 7; I have Dudley's, for example.) For others, it's graph theory -- also an approachable subject with little background needed initially. (I don't have a textbook recommendation on that one, but there are lots out there.) A nice mind-bending approach might be sampling non-Euclidean geometry; I expect there are books aimed at your level though I haven't seen any. If you can handle not-hard-but-very-tedious transformations, you can learn a *ton* about logic and set theory through metamath.org (introduction).


But if you want to soldier through and re-learn the algebra -- certainly beneficial no matter which way you end up going -- you're going to have to find a good book or someone to help you through a less-good book. Unfortunately I don't know what's out there; anyone have advice on this point?
CRGreathouse is offline  
 
February 26th, 2010, 08:39 AM   #12
Senior Member
 
Joined: Oct 2007
From: Chicago

Posts: 1,701
Thanks: 3

Re: How to begin advancing in mathematics?

Quote:
Originally Posted by croesoswallt
I would be lying if I said I wasn't still confused, in fact I may be more confused than ever.
Trying to figure out what all math there is to learn is a really great way to confuse the hell out of yourself.

Quote:
Is discrete maths what I want to be looking at?
It's certainly a good start. I like CRG's suggestion to find an area that seems interesting, and then spend time learning the background you need; on the other hand, "discrete math" provides a really nice background of a number of areas in math, so it may be a good way to find out what areas seem interesting.

Quote:
I've been getting definitions off wikipedia, which of course is known to be less than reliable.
Actually, wikipedia is a fantastic reference for math... the one problem is sometimes the articles are written at a high level, or with no thought of trying to give intuition.

Quote:
The problem is, as I think Pseudonym may have described (I was confused) that to understand one idea I must read on several other ideas, which in turn require me to read on several more, in an endless branching out of ideas.
That's one of the most fascinating things about math-- as you delve deeper into something, all sorts of other structures and ideas begin to show up. This also makes learning math very daunting, and sometimes even discouraging: there is just soooo much that needs to be understood. At the same time, it makes it very rewarding and exciting to understand a new, deeper connection-- especially when you start to notice things showing up in unexpected places.

Quote:
Would I be a fool to consider getting a 'Maths for Dummies' type of book?
To repeat CRG: certainly not. That will really help to build an intuition for and understanding of the basic ideas; from there, the more advanced and "deeper" results will be much easier to understand and to appreciate.
cknapp is offline  
Reply

  My Math Forum > Math Forums > Academic Guidance

Tags
advancing, begin, mathematics



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Don't know how to begin aynjell Real Analysis 7 December 9th, 2010 08:01 AM
Where does a circle begin? deanmullen10 Algebra 4 May 23rd, 2010 02:51 PM
where to begin? StarsChild New Users 1 August 20th, 2008 12:59 PM
Hi....uh...where to begin? misterp Calculus 2 December 18th, 2007 01:32 PM
How to begin advancing in mathematics? croesoswallt New Users 0 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.