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Studying Mathematics Thread
RE: Studying Mathematics Thread
(September 30, 2018 at 10:44 pm)Fireball Wrote:
(September 30, 2018 at 10:11 pm)Kernel Sohcahtoa Wrote: IMO, regardless of one's skill level, a student of mathematics will encounter concepts and ideas that are challenging: it seems that, for the time being, there will always be problems to solve and statements to prove. Hence, for any students who are interested in studying mathematics, please don't get discouraged when you hit a bump/boulder in the road: you are not alone.  Like so many mathematicians and students of mathematics before you, embrace the fact that you are being challenged, ask questions, and allow yourself to grow from this experience, regardless of whether you are successful or not.

I'll paraphrase something that I read many decades ago, "Before anything was done using a computer, you could tell a working mathematician by how many pieces of paper were in the waste basket."

That "guess and check" method you learned in grade school has its provenance in that.

I just want to say that this is still very much true today. Computers help some with computations. They are good for writing up results. But the *real* ideas happen on paper or the black (marker) board. Reams of paper are used before the first key on the computer is hit.

(September 30, 2018 at 10:11 pm)Kernel Sohcahtoa Wrote: IMO, regardless of one's skill level, a student of mathematics will encounter concepts and ideas that are challenging: it seems that, for the time being, there will always be problems to solve and statements to prove. Hence, for any students who are interested in studying mathematics, please don't get discouraged when you hit a bump/boulder in the road: you are not alone.  Like so many mathematicians and students of mathematics before you, embrace the fact that you are being challenged, ask questions, and allow yourself to grow from this experience, regardless of whether you are successful or not.

Absolutely. If you are studying math to any level you *will* come across ideas that are hard to wrap your mind around. When that happens, read other books, ask people who might know, play with a hundred examples. Do whatever it takes because it will  be *worth* it. Pushing through the hard stuff is much more rewarding than skimming through the easy stuff.
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Messages In This Thread
Studying Mathematics Thread - by Grandizer - February 28, 2018 at 11:22 am
RE: Studying Mathematics Thread - by Silver - February 28, 2018 at 11:31 am
RE: Studying Mathematics Thread - by Tiberius - February 28, 2018 at 11:36 am
RE: Studying Mathematics Thread - by Whateverist - February 28, 2018 at 3:58 pm
RE: Studying Mathematics Thread - by polymath257 - February 28, 2018 at 11:45 am
RE: Studying Mathematics Thread - by robvalue - February 28, 2018 at 1:21 pm
RE: Studying Mathematics Thread - by polymath257 - February 28, 2018 at 2:08 pm
RE: Studying Mathematics Thread - by Edwardo Piet - February 28, 2018 at 2:10 pm
RE: Studying Mathematics Thread - by polymath257 - February 28, 2018 at 2:35 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - February 28, 2018 at 8:55 pm
RE: Studying Mathematics Thread - by Grandizer - February 28, 2018 at 9:00 pm
RE: Studying Mathematics Thread - by Edwardo Piet - February 28, 2018 at 9:02 pm
RE: Studying Mathematics Thread - by Fireball - February 28, 2018 at 3:53 pm
RE: Studying Mathematics Thread - by Alexmahone - February 28, 2018 at 3:54 pm
RE: Studying Mathematics Thread - by LadyForCamus - February 28, 2018 at 10:22 pm
RE: Studying Mathematics Thread - by Grandizer - February 28, 2018 at 10:59 pm
RE: Studying Mathematics Thread - by polymath257 - March 3, 2018 at 7:12 pm
RE: Studying Mathematics Thread - by Grandizer - March 3, 2018 at 7:52 pm
RE: Studying Mathematics Thread - by polymath257 - March 3, 2018 at 9:00 pm
RE: Studying Mathematics Thread - by robvalue - March 4, 2018 at 7:12 am
RE: Studying Mathematics Thread - by Grandizer - March 6, 2018 at 7:58 am
RE: Studying Mathematics Thread - by polymath257 - March 6, 2018 at 9:21 am
RE: Studying Mathematics Thread - by robvalue - March 7, 2018 at 1:51 am
RE: Studying Mathematics Thread - by polymath257 - March 7, 2018 at 8:19 am
RE: Studying Mathematics Thread - by Grandizer - March 7, 2018 at 8:41 am
RE: Studying Mathematics Thread - by robvalue - March 7, 2018 at 8:48 am
RE: Studying Mathematics Thread - by polymath257 - March 7, 2018 at 8:49 am
RE: Studying Mathematics Thread - by robvalue - March 7, 2018 at 8:30 am
RE: Studying Mathematics Thread - by polymath257 - March 7, 2018 at 8:42 am
RE: Studying Mathematics Thread - by robvalue - March 7, 2018 at 8:53 am
RE: Studying Mathematics Thread - by polymath257 - March 7, 2018 at 9:01 am
RE: Studying Mathematics Thread - by robvalue - March 7, 2018 at 10:19 am
RE: Studying Mathematics Thread - by polymath257 - March 7, 2018 at 10:43 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - March 8, 2018 at 1:54 am
RE: Studying Mathematics Thread - by robvalue - March 8, 2018 at 2:46 am
RE: Studying Mathematics Thread - by Grandizer - March 8, 2018 at 3:39 am
RE: Studying Mathematics Thread - by robvalue - March 8, 2018 at 3:49 am
RE: Studying Mathematics Thread - by Grandizer - March 8, 2018 at 3:53 am
RE: Studying Mathematics Thread - by polymath257 - March 8, 2018 at 10:47 am
RE: Studying Mathematics Thread - by Edwardo Piet - April 20, 2018 at 10:22 am
RE: Studying Mathematics Thread - by Grandizer - April 20, 2018 at 11:10 am
RE: Studying Mathematics Thread - by Grandizer - April 20, 2018 at 10:39 pm
RE: Studying Mathematics Thread - by polymath257 - April 21, 2018 at 10:06 am
RE: Studying Mathematics Thread - by robvalue - March 8, 2018 at 4:00 am
RE: Studying Mathematics Thread - by Grandizer - March 8, 2018 at 4:11 am
RE: Studying Mathematics Thread - by Grandizer - March 8, 2018 at 8:43 am
RE: Studying Mathematics Thread - by robvalue - March 8, 2018 at 9:48 am
RE: Studying Mathematics Thread - by Grandizer - March 15, 2018 at 1:49 am
RE: Studying Mathematics Thread - by polymath257 - March 18, 2018 at 10:43 pm
RE: Studying Mathematics Thread - by Grandizer - March 19, 2018 at 9:11 am
RE: Studying Mathematics Thread - by polymath257 - March 19, 2018 at 9:32 pm
RE: Studying Mathematics Thread - by polymath257 - March 22, 2018 at 9:34 am
RE: Studying Mathematics Thread - by Grandizer - March 22, 2018 at 10:06 am
RE: Studying Mathematics Thread - by Grandizer - March 22, 2018 at 9:58 pm
RE: Studying Mathematics Thread - by polymath257 - March 23, 2018 at 7:44 am
RE: Studying Mathematics Thread - by Grandizer - March 24, 2018 at 8:45 am
RE: Studying Mathematics Thread - by polymath257 - March 24, 2018 at 9:52 am
RE: Studying Mathematics Thread - by Grandizer - April 4, 2018 at 10:35 pm
RE: Studying Mathematics Thread - by polymath257 - April 5, 2018 at 7:41 am
RE: Studying Mathematics Thread - by robvalue - April 5, 2018 at 8:48 am
RE: Studying Mathematics Thread - by polymath257 - April 5, 2018 at 9:01 am
RE: Studying Mathematics Thread - by Grandizer - April 5, 2018 at 9:03 am
RE: Studying Mathematics Thread - by Grandizer - April 5, 2018 at 8:25 pm
RE: Studying Mathematics Thread - by robvalue - April 6, 2018 at 2:18 am
RE: Studying Mathematics Thread - by Grandizer - April 6, 2018 at 2:58 am
RE: Studying Mathematics Thread - by robvalue - April 6, 2018 at 4:16 am
RE: Studying Mathematics Thread - by Grandizer - April 6, 2018 at 4:22 am
RE: Studying Mathematics Thread - by polymath257 - April 6, 2018 at 7:53 am
RE: Studying Mathematics Thread - by robvalue - April 9, 2018 at 12:58 pm
RE: Studying Mathematics Thread - by Grandizer - April 9, 2018 at 11:46 am
RE: Studying Mathematics Thread - by Silver - April 9, 2018 at 1:01 pm
RE: Studying Mathematics Thread - by robvalue - April 9, 2018 at 1:09 pm
RE: Studying Mathematics Thread - by polymath257 - April 9, 2018 at 1:20 pm
RE: Studying Mathematics Thread - by robvalue - April 9, 2018 at 1:22 pm
RE: Studying Mathematics Thread - by Grandizer - April 14, 2018 at 2:07 am
RE: Studying Mathematics Thread - by polymath257 - April 14, 2018 at 10:24 am
RE: Studying Mathematics Thread - by robvalue - April 14, 2018 at 10:41 am
RE: Studying Mathematics Thread - by Grandizer - April 15, 2018 at 5:18 am
RE: Studying Mathematics Thread - by Jarrey - April 15, 2018 at 7:12 am
RE: Studying Mathematics Thread - by robvalue - April 15, 2018 at 7:53 am
RE: Studying Mathematics Thread - by Grandizer - April 15, 2018 at 9:21 am
RE: Studying Mathematics Thread - by polymath257 - April 15, 2018 at 10:26 am
RE: Studying Mathematics Thread - by Grandizer - April 19, 2018 at 10:39 pm
RE: Studying Mathematics Thread - by robvalue - April 21, 2018 at 3:44 am
RE: Studying Mathematics Thread - by Edwardo Piet - April 21, 2018 at 10:09 am
RE: Studying Mathematics Thread - by Grandizer - April 23, 2018 at 5:51 pm
RE: Studying Mathematics Thread - by polymath257 - April 23, 2018 at 10:09 pm
RE: Studying Mathematics Thread - by Divinity - April 23, 2018 at 7:19 pm
RE: Studying Mathematics Thread - by Grandizer - April 23, 2018 at 8:32 pm
RE: Studying Mathematics Thread - by Divinity - April 23, 2018 at 10:45 pm
RE: Studying Mathematics Thread - by Grandizer - April 24, 2018 at 2:18 am
RE: Studying Mathematics Thread - by polymath257 - April 24, 2018 at 8:13 am
RE: Studying Mathematics Thread - by Fireball - April 23, 2018 at 8:20 pm
RE: Studying Mathematics Thread - by Grandizer - April 24, 2018 at 4:43 am
RE: Studying Mathematics Thread - by polymath257 - April 24, 2018 at 8:24 am
RE: Studying Mathematics Thread - by robvalue - April 24, 2018 at 5:09 am
RE: Studying Mathematics Thread - by Grandizer - April 24, 2018 at 8:18 am
RE: Studying Mathematics Thread - by polymath257 - April 24, 2018 at 11:24 am
RE: Studying Mathematics Thread - by polymath257 - April 26, 2018 at 7:48 am
RE: Studying Mathematics Thread - by Grandizer - April 27, 2018 at 7:19 pm
RE: Studying Mathematics Thread - by polymath257 - April 27, 2018 at 8:53 pm
RE: Studying Mathematics Thread - by Grandizer - April 28, 2018 at 1:41 am
RE: Studying Mathematics Thread - by polymath257 - April 28, 2018 at 9:51 am
RE: Studying Mathematics Thread - by Grandizer - April 28, 2018 at 11:35 pm
RE: Studying Mathematics Thread - by polymath257 - April 29, 2018 at 9:00 am
RE: Studying Mathematics Thread - by Grandizer - April 30, 2018 at 9:48 am
RE: Studying Mathematics Thread - by polymath257 - April 30, 2018 at 1:15 pm
RE: Studying Mathematics Thread - by Grandizer - April 30, 2018 at 7:42 pm
RE: Studying Mathematics Thread - by polymath257 - April 30, 2018 at 8:09 pm
RE: Studying Mathematics Thread - by Grandizer - May 1, 2018 at 2:19 am
RE: Studying Mathematics Thread - by Grandizer - April 28, 2018 at 9:29 am
RE: Studying Mathematics Thread - by polymath257 - May 1, 2018 at 7:55 am
RE: Studying Mathematics Thread - by Grandizer - May 1, 2018 at 7:59 am
RE: Studying Mathematics Thread - by Fireball - May 1, 2018 at 11:43 pm
RE: Studying Mathematics Thread - by Grandizer - May 2, 2018 at 6:35 am
RE: Studying Mathematics Thread - by Fireball - May 2, 2018 at 11:43 am
RE: Studying Mathematics Thread - by polymath257 - May 4, 2018 at 8:14 am
RE: Studying Mathematics Thread - by Fireball - June 15, 2018 at 12:35 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - June 15, 2018 at 11:45 am
RE: Studying Mathematics Thread - by polymath257 - June 15, 2018 at 3:46 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - July 6, 2018 at 3:23 am
RE: Studying Mathematics Thread - by polymath257 - July 6, 2018 at 8:42 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - July 17, 2018 at 2:02 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 27, 2018 at 1:59 am
RE: Studying Mathematics Thread - by The Valkyrie - September 27, 2018 at 2:01 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 27, 2018 at 2:10 am
RE: Studying Mathematics Thread - by polymath257 - September 27, 2018 at 8:07 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 27, 2018 at 7:13 pm
RE: Studying Mathematics Thread - by Grandizer - September 27, 2018 at 7:20 pm
RE: Studying Mathematics Thread - by polymath257 - September 27, 2018 at 9:06 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 28, 2018 at 5:34 pm
RE: Studying Mathematics Thread - by Aliza - September 28, 2018 at 6:57 pm
RE: Studying Mathematics Thread - by polymath257 - September 29, 2018 at 9:16 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 29, 2018 at 10:50 am
RE: Studying Mathematics Thread - by polymath257 - September 29, 2018 at 6:02 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 29, 2018 at 10:01 pm
RE: Studying Mathematics Thread - by Aliza - September 30, 2018 at 2:40 pm
RE: Studying Mathematics Thread - by Aliza - September 29, 2018 at 6:21 pm
RE: Studying Mathematics Thread - by Tiberius - September 27, 2018 at 2:11 am
RE: Studying Mathematics Thread - by Aliza - September 27, 2018 at 2:23 am
RE: Studying Mathematics Thread - by robvalue - September 28, 2018 at 1:35 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 28, 2018 at 8:02 pm
RE: Studying Mathematics Thread - by Aliza - September 28, 2018 at 8:21 pm
RE: Studying Mathematics Thread - by Fireball - September 29, 2018 at 7:56 pm
RE: Studying Mathematics Thread - by Aliza - September 29, 2018 at 8:05 pm
RE: Studying Mathematics Thread - by Fireball - September 29, 2018 at 9:08 pm
RE: Studying Mathematics Thread - by Aliza - September 30, 2018 at 12:12 am
RE: Studying Mathematics Thread - by Fireball - September 30, 2018 at 7:56 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - September 30, 2018 at 10:11 pm
RE: Studying Mathematics Thread - by Aliza - September 30, 2018 at 10:18 pm
RE: Studying Mathematics Thread - by Fireball - September 30, 2018 at 10:44 pm
RE: Studying Mathematics Thread - by polymath257 - October 1, 2018 at 8:06 am
RE: Studying Mathematics Thread - by LastPoet - October 2, 2018 at 7:40 am
RE: Studying Mathematics Thread - by polymath257 - October 2, 2018 at 7:58 am
RE: Studying Mathematics Thread - by Reltzik - October 2, 2018 at 10:49 am
RE: Studying Mathematics Thread - by Reltzik - October 2, 2018 at 10:58 am
RE: Studying Mathematics Thread - by polymath257 - October 2, 2018 at 11:34 am
RE: Studying Mathematics Thread - by Grandizer - October 2, 2018 at 11:05 am
RE: Studying Mathematics Thread - by Aliza - October 2, 2018 at 11:29 am
RE: Studying Mathematics Thread - by Grandizer - October 2, 2018 at 11:35 am
RE: Studying Mathematics Thread - by polymath257 - October 2, 2018 at 12:03 pm
RE: Studying Mathematics Thread - by Aliza - October 2, 2018 at 12:50 pm
RE: Studying Mathematics Thread - by Grandizer - October 2, 2018 at 1:23 pm
RE: Studying Mathematics Thread - by polymath257 - October 2, 2018 at 1:29 pm
RE: Studying Mathematics Thread - by Aliza - October 3, 2018 at 1:53 am
RE: Studying Mathematics Thread - by polymath257 - October 3, 2018 at 8:30 am
RE: Studying Mathematics Thread - by Fireball - October 3, 2018 at 11:30 am
RE: Studying Mathematics Thread - by polymath257 - October 3, 2018 at 12:25 pm
RE: Studying Mathematics Thread - by Fireball - October 3, 2018 at 1:03 pm
RE: Studying Mathematics Thread - by robvalue - October 1, 2018 at 1:54 am
RE: Studying Mathematics Thread - by Reltzik - October 2, 2018 at 2:51 am
RE: Studying Mathematics Thread - by Grandizer - October 5, 2018 at 1:19 pm
RE: Studying Mathematics Thread - by Fireball - October 9, 2018 at 8:03 pm
RE: Studying Mathematics Thread - by Grandizer - October 10, 2018 at 12:13 am
RE: Studying Mathematics Thread - by Aliza - October 10, 2018 at 3:10 pm
RE: Studying Mathematics Thread - by Grandizer - October 10, 2018 at 11:34 pm
RE: Studying Mathematics Thread - by Reltzik - October 11, 2018 at 12:20 am
RE: Studying Mathematics Thread - by Aliza - October 11, 2018 at 12:30 am
RE: Studying Mathematics Thread - by Reltzik - October 11, 2018 at 12:35 am
RE: Studying Mathematics Thread - by Aliza - October 11, 2018 at 12:53 am
RE: Studying Mathematics Thread - by Aliza - October 11, 2018 at 12:41 pm
RE: Studying Mathematics Thread - by Reltzik - October 11, 2018 at 2:47 pm
RE: Studying Mathematics Thread - by DodosAreDead - October 11, 2018 at 12:21 am
RE: Studying Mathematics Thread - by EgoDeath - October 9, 2018 at 4:20 pm
RE: Studying Mathematics Thread - by Reltzik - October 9, 2018 at 7:55 pm
RE: Studying Mathematics Thread - by EgoDeath - October 10, 2018 at 9:46 am
RE: Studying Mathematics Thread - by Reltzik - October 10, 2018 at 3:37 pm
RE: Studying Mathematics Thread - by EgoDeath - October 10, 2018 at 11:29 pm
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - October 10, 2018 at 12:07 am
RE: Studying Mathematics Thread - by Fireball - October 11, 2018 at 2:28 am
RE: Studying Mathematics Thread - by Aliza - October 11, 2018 at 10:08 am
RE: Studying Mathematics Thread - by Grandizer - October 11, 2018 at 7:31 pm
RE: Studying Mathematics Thread - by Fireball - October 11, 2018 at 8:34 pm
RE: Studying Mathematics Thread - by Reltzik - October 12, 2018 at 11:34 pm
RE: Studying Mathematics Thread - by Aliza - October 13, 2018 at 2:07 am
RE: Studying Mathematics Thread - by Kernel Sohcahtoa - October 13, 2018 at 6:40 pm
RE: Studying Mathematics Thread - by Fireball - October 13, 2018 at 8:15 pm
RE: Studying Mathematics Thread - by polymath257 - October 14, 2018 at 11:33 pm
RE: Studying Mathematics Thread - by Grandizer - October 27, 2018 at 11:39 am
RE: Studying Mathematics Thread - by Fireball - October 27, 2018 at 11:54 am
RE: Studying Mathematics Thread - by Aliza - October 28, 2018 at 12:23 am
RE: Studying Mathematics Thread - by Grandizer - October 28, 2018 at 7:42 pm
RE: Studying Mathematics Thread - by Silver - October 30, 2018 at 6:03 am
RE: Studying Mathematics Thread - by Aliza - October 30, 2018 at 10:55 am
RE: Studying Mathematics Thread - by Grandizer - October 31, 2018 at 10:14 am
RE: Studying Mathematics Thread - by Grandizer - November 3, 2018 at 1:15 am
RE: Studying Mathematics Thread - by Grandizer - November 3, 2018 at 6:30 am
RE: Studying Mathematics Thread - by Fireball - October 30, 2018 at 6:44 am
RE: Studying Mathematics Thread - by Jehanne - November 2, 2018 at 9:02 am
RE: Studying Mathematics Thread - by Macoleco - November 3, 2018 at 11:15 pm
RE: Studying Mathematics Thread - by polymath257 - November 4, 2018 at 9:26 am
RE: Studying Mathematics Thread - by Jehanne - November 5, 2018 at 9:55 am
RE: Studying Mathematics Thread - by polymath257 - November 5, 2018 at 1:03 pm
RE: Studying Mathematics Thread - by Jehanne - November 6, 2018 at 8:37 am
RE: Studying Mathematics Thread - by polymath257 - November 7, 2018 at 1:31 pm
RE: Studying Mathematics Thread - by Jehanne - November 7, 2018 at 3:51 pm
RE: Studying Mathematics Thread - by polymath257 - November 7, 2018 at 5:30 pm
RE: Studying Mathematics Thread - by Jehanne - November 8, 2018 at 11:34 pm
RE: Studying Mathematics Thread - by polymath257 - November 9, 2018 at 10:20 am
RE: Studying Mathematics Thread - by Silver - November 8, 2018 at 10:22 am
RE: Studying Mathematics Thread - by bennyboy - November 19, 2018 at 12:48 am
RE: Studying Mathematics Thread - by Fireball - November 19, 2018 at 1:28 am

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