EPTdoing an exercise in the first section of the first chapter of my beginning number theory textbook
yes, it is trivial, i am aware.
Wow, I'm so bad at proof-based mathematics... - Page 2
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meguca
United States78 Posts
doing an exercise in the first section of the first chapter of my beginning number theory textbook yes, it is trivial, i am aware. | ||
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Fyodor
Canada971 Posts
To me they're the most intuitive and pleasant thing in all of Mathematics. I'd much rather prove something that is presented without artifice than solve one of those masturbatory mathematical problems that combine different fields of mathematics and physics in weird ways and give you cumbersome algebra to juggle. God do I hate those for the reason that a lot of people memorize those and consider them "important problems" that they expect you to solve quickly when in fact they aren't even usable in practical situations let alone test any relevant part of your analytic thinking. You either know the solution to the puzzle and solve it really fast or you don't already know it and it takes a long time, depending on which intuition you have at the start. I guess I'm just dissatisfied with the quality of mathematical problems that I've had in my life. I love learning mathematics but man are the textbooks unnecessarily torturous sometimes. I haven't even talked about equations that go far beyond what can be stored in your brain so you write down everything you think so it's immediately slower and laborious. | ||
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ymir233
United States8275 Posts
On October 01 2012 23:10 Fyodor wrote: I don't understand why proofs are considered dreadful or difficult. To me they're the most intuitive and pleasant thing in all of Mathematics. I'd much rather prove something that is presented without artifice than solve one of those masturbatory mathematical problems that combine different fields of mathematics and physics in weird ways and give you cumbersome algebra to juggle. God do I hate those for the reason that a lot of people memorize those and consider them "important problems" that they expect you to solve quickly when in fact they aren't even usable in practical situations let alone test any relevant part of your analytic thinking. You either know the solution to the puzzle and solve it really fast or you don't already know it and it takes a long time, depending on which intuition you have at the start. I guess I'm just dissatisfied with the quality of mathematical problems that I've had in my life. I love learning mathematics but man are the textbooks unnecessarily torturous sometimes. I haven't even talked about equations that go far beyond what can be stored in your brain so you write down everything you think so it's immediately slower and laborious. Yeah man, fuck derivations. It's not like they created some of the most important equations of all time or anything. | ||
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Boblion
France8043 Posts
On October 02 2012 00:06 ymir233 wrote: Yeah man, fuck derivations. It's not like they created some of the most important equations of all time or anything. Derivation is like the most straight foward stuff in maths lol. @OP: induction and win? | ||
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Smancer
United States379 Posts
Get ready to spend hours in a library with a cup of coffee. As courses get more difficult, the proofs can become more complex. My best advice to you is to really invest the time it takes to write out a nice proof. For those of us that are really good at math we get lazy. We are used to things in Calculus, and differential equations. Things we know how to solve. It truly is a big jump to go from a course where the professor tells us how to solve each "type" of equation, to where the professor shows us how things build on top of each other, and then asks us if something follows from those building blocks, if so, prove it. It is almost like a new subject. But I encourage you to keep at it. You are good at math because you are good at solving problems. Your problem now is learning how to write proofs. | ||
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ymir233
United States8275 Posts
On October 02 2012 00:18 Boblion wrote: Derivation is like the most straight foward stuff in maths lol. @OP: induction and win? Regardless of whether they're straightforward or not they're relatively significant in discerning relationships that might not have seemed obvious, like with integral equations...I mean good for you if you could have figured out Maxwell relations before Maxwell but... | ||
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Big J
Austria16289 Posts
Also: LaTeX sucks  It's just sooo f***ing stupid to type and compile and then go to google to find out that you didn't make a mistake, it's just align is that is stupid...  | ||
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Kwidowmaker
Canada978 Posts
 (-e- and your proof looks fine as long as the logic is good. I don't know what the notation [x] is so i can't say for sure | ||
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Brandish
United States339 Posts
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corumjhaelen
France6884 Posts
On October 01 2012 14:11 VaySept wrote: proof-based math = math What is math without proof? Calculus? And this is not "number theory". This is just a triviality on integers and real numbers, for first year students in the university. PS : Your proof looks correct. A bit harsh, but true, unless you wrote maths before Gauss or something. Or you're Ramanujan :p Wasn't surprised to read France at the top of the post^^ Edit : and yeah, fuck LaTeX, I did not choose maths to type nice looking things on a computer and look at stupid error messages | ||
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HeavOnEarth
United States7087 Posts
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