• Mathematician Chat v. 3.999...
    1,232 replies, posted
Swebonny wanted a new thread made for some reason idk but here it is. Talk about math in here, the subject for cool kids. Here's some math-related resources from the last thread: [quote][B]WolframAlpha[/B] [URL]http://www.wolframalpha.com[/URL] [B]List of Math Symbols [/B][URL]http://en.wikipedia.org/wiki/List_of_mathematical_symbols[/URL] [B]Paul's Online Math Notes, really useful Calculus I-III, Linear Algebra and Differential equation notes [/B][URL]http://tutorial.math.lamar.edu/[/URL] [B] Khan Academy, math videos with easy(non-formal) explanations [/B][URL]https://www.khanacademy.org/[/URL] [B]Latex Cheat Sheet: [/B][URL]http://www.stdout.org/~winston/latex/latexsheet-a4.pdf[/URL] [QUOTE=Bradyns;39766368]Swebonny, here are some to add.. [B]Youtube users:[/B] [URL="http://www.youtube.com/user/patrickJMT"]PatrickJMT[/URL] [URL="http://www.youtube.com/user/TheIntegralCALC"]TheIntegralCALC[/URL] [B]Websites:[/B] [URL="http://www.mathtutor.ac.uk/"]Maths Tutor [UK][/URL] Awesome videos from simple algebra to various integration techniques. [URL="http://sites.google.com/site/scienceandmathguide/subjects/mathematics"]Mathematics - /sci/[/URL] /sci/ board made their own page, which is a wealth of knowledge.[/QUOTE] [QUOTE=Roll_Program;39765005][URL]http://www.mathpages.com/[/URL] Some extremely useful stuff, especially for physics.[/QUOTE] [QUOTE=JohanGS;39773807]I like to use this when I need post problems here, you can use the created picture without having to upload it or anything [URL]http://www.codecogs.com/latex/eqneditor.php[/URL][/QUOTE][/quote] [B]LaTeX[/B] Do you want to be able to typeset [url=http://i.stack.imgur.com/VweGa.png][B]sexy, vectorized math papers that look so goddamn authoritative no professor will dare question your calculations[/B][/url]? Are you even considering entering research in a mathematically-intensive field? Do you want to fit in with the cool kids? If you answered yes to one or all of these questions, consider learning LaTeX! LaTeX is a flexible typesetting language meant to handle complicated math. It's pretty much the industry standard for papers in mathematically-intensive fields. Compare papers on arXiv.org (where many researchers post free pre-print versions of papers for open access before they are peer reviewed) vs. viXra.org (a [I]completely[/I] open access repository where crazy people post their ridiculous theories that they can't post on arXiv because they have no credibility). ArXiv papers are virtually all LaTeX typeset, almost no viXra papers are. The Codecogs and cheat sheet links in the resources above are both relevant. If you want a gentle introduction to LaTeX in the form of a nice word processor, try [url=http://www.lyx.org/][B]LyX[/B][/url]. It's a free word processor with LaTeX support built in. It'll automate pretty much all the LaTeX installation for you, it has buttons for pretty much all the LaTeX commands you don't already know, and macros built in to make typesetting really fast. Read the documentation to figure out how shit works, it's good documentation generally. When you're ready to take the training wheels off and you want to do stuff like document formatting by hand for more flexibility, download a front-end like [url=http://www.tug.org/texworks/][B]TeXworks[/B][/url]. Now on an unrelated note: I'm studying to take the math subject GRE on the 25th. Is anyone else? Also trying to learn algebraic geometry, but I think I should review my algebra. I'm fine with groups, but useless with rings and such and don't have anything but the most general idea what a module is. If anyone else is interested, Vakil has awesome [b][url=http://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf]free algebraic geometry notes[/url][/b] available online. And by notes I mean basically a book.
Wow! Thank you! I'm in a math intensive major but I'm too Ameripoor to buy all the 200 dollar books they want me to get so any resource is useful for me, especially the Paul's Online Math Notes, that is exactly what I've been looking for.
Solving differential equations using the laplace transform is so much fun, especially if you do the backwards-tranformation using the residue theorem.
hi everyone hoping to go to reed college to study mathematics, but looking through their department's theses section is extremely intimidating lots of big words and strange theories i haven't even begun to touch
[QUOTE=Comrade_Eko;46140150]Wow! Thank you! I'm in a math intensive major but I'm too Ameripoor to buy all the 200 dollar books they want me to get so any resource is useful for me, especially the Paul's Online Math Notes, that is exactly what I've been looking for.[/QUOTE] Don't you have any librarys you could borrow the books from? It's what I do, since I also don't want to dish out between 30€ and 200€ for a single book, and I'm not ameripoor.
[QUOTE=ZeFruitNazi;46140272]hi everyone hoping to go to reed college to study mathematics, but looking through their department's theses section is extremely intimidating lots of big words and strange theories i haven't even begun to touch[/QUOTE] Don't sweat it. The point is to learn them! No one's going to expect you to know what a Noetherian ring is walking into your first abstract algebra class (or else you've probably signed up for the wrong class). Here's a time consuming but nearly foolproof way to get better at higher math: If you don't understand a term, look it up. If you don't understand the terms in the definition of the other term, look them up too. Keep doing that until you reach something you understand, then piece it all together to get an idea of what the original thing is. You don't even need to understand all the subtleties of the thing you're studying, just get a mental picture. If you look up topological spaces, for instance, you don't need to know the axioms they have to satisfy. Just get to the point where you understand, "You remember open sets like (a,b) from algebra/calculus? What if we decided sets that look like [a,b) are open instead? How would the structure of the real numbers change? That's what a topology does, changes what open sets look like." If you can walk into your new classes with just a vague idea of the content you'll be learning in detail, you'll probably be head and shoulders above most other students.
[QUOTE=DrDevil;46140316]Don't you have any librarys you could borrow the books from? It's what I do, since I also don't want to dish out between 30€ and 200€ for a single book, and I'm not ameripoor.[/QUOTE] They only have a few of the books required available, and the ones that are available are limited to one copy, you can't leave with the book, all those things put together usually means you need to wake up on the right side of the bed, put on your lucky socks and find 5 heads-up pennies if you're going to get it when you ask for it. Which is fine, because the internet can be accessed at home and thanks to Johnnymo1 I don't think I'll even need to search for another resource until my Masters thanks to this awesome guy. There is one thing my college has changed recently that's much more horribly vile than simply not having free copies of a book however, requiring a code from a book in order to do your homework.
Added a section about LaTeX to the OP. Learn it. It's sexy shit, and it doesn't have to just be for math! I typeset my resume in it.
But Mr. JohnnyMo, 3.999 repeating isn't 4!
[QUOTE=SGTNAPALM;46141445]But Mr. JohnnyMo, 3.999 repeating isn't 4![/QUOTE] I will use the argument that most mathematicians will tell you when you you make this claim to them: I will wear your spleen for a hat
Nice a new thread. I just wanted it to get to the front page again :v:
Why is the language of the laws of the universe mathematics? Why can't it just conform to English like the rest of the civilized world?
The only algebra I care about is Boolean Algebra. (because it's the only one I'm good at)
Nothing like that new math thread smell.
[QUOTE=JohnnyMo1;46141481]I will use the argument that most mathematicians will tell you when you you make this claim to them: I will wear your spleen for a hat[/QUOTE] But 4! - 3.999... = 20.
Yeah come on Johnny is this 7th grade?
[QUOTE=Krinkels;46143949]But 4! - 3.999... = 20.[/QUOTE] Don't give me your sass. I made no claim other than that I would wear his spleen for a hat.
I am very very confused by what an assignment is asking me to do [quote]2. Construct a 2 way table showing the numbers in each arm of the original trial who were or were not included in the analyses in this paper. [1 mark] Use an appropriate statistical method to compare the proportion in each group who underwent the ophthalmic assessment and had complete data. [1 mark] What is your conclusion? [1 mark] [/quote] This is the question. [img]http://i.imgur.com/yCkBcX1.png[/img] That is the layout of the trial, they took 2868 people, split them into roughly equal groups and looked at how 2 different ultrasound techniques effected them by looking for differences 20 years later. Is the question asking me to make a 2 way table, with the variables being which ultrasound technique they got vs whether or not they followed up? ie: [img]http://i.imgur.com/28rrMCv.png[/img] Is it then asking me to do a test to see if ultrasound method is related to whether or not they could get complete results for analysis? This seems so useless?
[QUOTE=JohnnyMo1;46141481]I will use the argument that most mathematicians will tell you when you you make this claim to them: I will wear your spleen for a hat[/QUOTE] Huh? 3.999... isn't 24 though. Also; can anyone recommend a good work on algebraic topology? I'm working through Willard's [I]General Topology[/I] now and I'd like to continue onward.
[IMG]http://mathinsight.org/media/applet/image/large/nonlinear_2d_change_variables_map_area_transformation.png[/IMG] Today I heard about those non-linear transformations. Nice stuff indeed. [editline]4th October 2014[/editline] To bad I can't handle linear transformations yet.
3rd year Maths degree now. Starting all the hardcore shit. Topology, special/general relativity, galois theory, quantum theory - this is finally the stuff I signed up for.
[QUOTE=agentalexandre;46151456]3rd year Maths degree now. Starting all the hardcore shit. Topology, [b]special/general relativity[/b], galois theory, [b]quantum theory[/b] - this is finally the stuff I signed up for.[/QUOTE] Are you sure you're not training to become a physicist?
[QUOTE=Falubii;46151509]Are you sure you're not training to become a physicist?[/QUOTE] I'm on a pure maths degree. I'm taking both physics and financial courses this year because I'm still not decided on what I'm gonna do after uni. Quantum and relativity is still interesting as fuck though.
[QUOTE=agentalexandre;46151523]I'm on a pure maths degree. I'm taking both physics and financial courses this year because I'm still not decided on what I'm gonna do after uni. Quantum and relativity is still interesting as fuck though.[/QUOTE] I'd say so. They're probably the most counter-intuitive theories you'd run into as an undergrad. Though relativity isn't all that counter-intuitive once you derive it yourself, quantum mechanics is still crazy.
[QUOTE=PopLot;46147398]Huh? 3.999... isn't 24 though. Also; can anyone recommend a good work on algebraic topology? I'm working through Willard's [I]General Topology[/I] now and I'd like to continue onward.[/QUOTE] Hatcher is pretty good and has the virtue of being [I]FREE[/I]. From what I see on stackexchange it's very well loved and considered sort of the standard intro. We used it for my class.
Why is it that the derivative of cos^2 x is -2cosxsinx and not just -2sinx which you would get from using product rule on cos(x)cos(x)?
[QUOTE=cathal6606;46155152]Why is it that the derivative of cos^2 x is -2cosxsinx and not just -2sinx which you would get from using product rule on cos(x)cos(x)?[/QUOTE] I think you might have made a mistake. Or can you show me how you use the product rule to get -2sinx out of cos(x)cos(x)? reminder: [IMG]http://upload.wikimedia.org/math/f/3/4/f3469e50750fb7341c9f20259c8fb695.png[/IMG]
u=cos(x) du/dx = -sinx v=cos(x) dv/dx = -sinx -sinxcosx+ -sinxcosx shit... my bad, went wrong somewhere on paper
[QUOTE=JohnnyMo1;46152261]Hatcher is pretty good and has the virtue of being [I]FREE[/I]. From what I see on stackexchange it's very well loved and considered sort of the standard intro. We used it for my class.[/QUOTE] Oh shit. Now that you mention it, I recall you posting that Hatcher was free in the previous thread and I think I actually downloaded it. lol.
Amusing physics thing: when people go "I don't need this math anyway, I'm good at theory so I can get people to do the math for me" It's an even more pretentious version of Ideas Guys™ who want an entire team of programmers and artists to make video games for them (usually for free) because their ideas are just that good
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