February 27th, 2015, 09:26 AM  #1 
Newbie Joined: Feb 2015 From: Earth Posts: 6 Thanks: 0  How to become a mathematician?
I study Electric engineering and I have always loved Mathematics and now I want to study math and don't know where to start. I want to be like someone who graduated from a math department with no difference between us, so how should I study beside my current study? What plan should I follow and what books should I read for every topic?
Last edited by skipjack; March 3rd, 2015 at 11:12 PM. 
March 3rd, 2015, 10:41 AM  #2 
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus 
Hello. I am completely selftaught, so perhaps I can help you. First, what kind of mathematical background do you already have? Do you know precalculus from the high school level? I ask because many topics from that level never go away, such as trigonometry. To clarify, I'm not a full fledged mathematician. However, I had the same thought as you did, wanting to study on my own time as a hobby because it was fascinating. I am still learning something new almost every day. Last edited by Compendium; March 3rd, 2015 at 10:58 AM. 
March 3rd, 2015, 03:13 PM  #3 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36 
Compendium, I'm also same with you. Can I know what kind of resources do you use to learn maths ? Books? Can you suggest some books or any resources to me ? Thanks 
March 4th, 2015, 02:23 AM  #4 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,165 Thanks: 737 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
If you study electrical engineering, chances are you already have a good grounding in mathematics. I would get hold of a firstyear undergraduate textbook for mathematics degree students and go from there. There are also plenty of resources online.

March 4th, 2015, 11:47 AM  #5  
Senior Member Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus  Quote:
http://ocw.mit.edu/ans7870/resources...s/Calculus.pdf I also watched some of MIT's open courseware on single and multivariable calculus, as well as ordinary differential equations. I consulted mathworld.wolfram.com and wikipedia.org when I wanted some additional information on what I was learning about. Dover mathematics books are relatively cheap. I bought Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard. It is extremely thorough, but as I'm more interested in pure mathematics than physics, I didn't read everything. I also bought Advanced Calculus by David V. Widder (not a Dover book, but not expensive). I just bought Elementary Real and Complex Analysis, another Dover book, and downloaded Real and Complex Analysis by Walter Rudin as a PDF, as that will be what I intend to learn next. I will also use Mathworld, Wikipedia, and probably this site for more information on what I learn.  
March 7th, 2015, 08:55 AM  #6  
Newbie Joined: Feb 2015 From: Earth Posts: 6 Thanks: 0  Quote:
And thank you very much.  
March 7th, 2015, 10:03 AM  #7 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
What can you tell us about your current level of mathematical understanding? Is there anything in particular you are interested in learning?

March 7th, 2015, 05:24 PM  #8 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36 
CRGreathouse. I'm interested in number theory. Is there anything I should learn about before starting number theory? Can you suggest some good books for number theory for a beginner ? Thanks a lot.

March 7th, 2015, 05:40 PM  #9  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 
March 8th, 2015, 10:23 AM  #10  
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Quote:
Last edited by jiasyuen; March 8th, 2015 at 10:34 AM.  

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