/sci/ - Science & Math

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OP Mon Dec 13 21:03:59 2010 No.2198961 [Reply] [Original]

hey /sci/. I'm as senior in high school, and i'm taking AP Calculus BC. Not that I don't appreciate the practice, and some of the new stuff is mildly interesting, but I'm finding it kind of boring. I'm just wondering if someone could point me in the direction of the next step in my math education, and maybe suggest a text or two.

tl;dr subject/books for math after AP calculus BC

>>	OP Mon Dec 13 21:05:59 2010 No.2198973 dumping awesome calculus cheat sheets

>>	Anonymous Mon Dec 13 21:07:59 2010 No.2198977 Foundations and Fundamentals of Mathematics by Howard Eves Read it. Love it. Live it.

>>	Anonymous Mon Dec 13 21:07:59 2010 No.2198980 The progression is multivar then differential equations if you're really in need of more math. Or you could not get ahead of yourself and go have fun. Really, you'll have to take the classes either way, so waste time now or waste time later.

>>	OP Mon Dec 13 21:07:59 2010 No.2198981 File: 62 KB, 818x1058, Derivatives and Limits.gif [View same] [iqdb] [saucenao] [google]

OP Mon Dec 13 21:09:59 2010 No.2198990
File: 63 KB, 818x1058, Geometric Formulaes.gif [View same] [iqdb] [saucenao] [google]

>>2198977
what subject matter would that be?
>>2198980
it's more about just sort of getting myself ready for college. I'm not seriously thinking of it as a replacement for a real class

>>	OP Mon Dec 13 21:11:59 2010 No.2199000 File: 57 KB, 818x1058, Trigonometry Laws and Identities.gif [View same] [iqdb] [saucenao] [google]

>>	OP Mon Dec 13 21:12:59 2010 No.2199009 File: 64 KB, 818x1058, Trigonometry Properties.gif [View same] [iqdb] [saucenao] [google]

>>	OP Mon Dec 13 21:13:59 2010 No.2199016 File: 64 KB, 818x1058, Algebra Properties.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon Dec 13 21:15:59 2010 No.2199024 >Foundations and Fundamentals of Mathematics by Howard Eves $0.04 on Amazon. Holy shit!

>>	OP Mon Dec 13 21:15:59 2010 No.2199028 really? I feel like the only real way a high school student can get himself noticed on this board is acting like a complete jack ass. coooome ooooon.

Anonymous Mon Dec 13 21:16:59 2010 No.2199034

Foundations and Fundamental Concepts of Mathematics

Popular undergraduate-level text offers overview of historical roots and evolution of several areas of mathematics. Topics include mathematics before Euclid, Euclid’s Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Emphasis on axiomatic procedures. Includes problems related to the material at the end of each chapter, to engross the reader in problems of that time, and of general recreation.

It epitomizes what mathematics is really about. If you ever read a mathematics text for fun out of class, let this be the one.

>>	Anonymous Mon Dec 13 21:16:59 2010 No.2199040 look into multivariable calculus, or if youre really that bored of calc, go for differential equations or linear algebra thats sorta the route i went after calc in college

Anonymous Mon Dec 13 21:16:59 2010 No.2199039

>>2198990
I assume you're reasonably smart if you're doing well in classes you're in, but you also sound like an overachiever. Useful sometimes but often not. Go get drunk or high, high school is awesome for fucking around. College is slow paced anyway, my first semester of college was my easiest school of my life.

>>	OP Mon Dec 13 21:17:59 2010 No.2199047 >>2199034 oh shit, that's motherfucking perfect. >>2199024 MERRY CHRISTMAS TO ME!

Anonymous Mon Dec 13 21:18:59 2010 No.2199052

If you want to get away from calculus-esque math, you could learn some Group Theory, Ring Theory, and Field Theory.

Alternatively, learn some vector calculus and then do some differential geometry and become the next Einstein.

Or, pick up a book about everything that Gauss or Euler did, and then look that shit up on the Internet.

Protip: that last thing I suggested will take your entire life.

>>	Anonymous Mon Dec 13 21:18:59 2010 No.2199053 Even taking calculus classes puts you ahead of the curve as far as college math goes. Sad but true.

>>	OP Mon Dec 13 21:19:59 2010 No.2199061 >>2199039 ur 2 cool

>>	OP Mon Dec 13 21:21:59 2010 No.2199078 >>2199053 i mean, i plan to major in engineering (inb4 gay jokes) >>2199052 rofl, thank's for the suggestion.

Anonymous Mon Dec 13 21:26:59 2010 No.2199109

>>2199078
Most any engineering degree will give you the Calc1/2/Multivar/DiffEq... You'll use minor diffeq in most of your education but that's it, even up through engineering at graduate level I've only needed some good diffeq skills.

I'm also the guy who told you to go have fun instead of overachieving, people like you are painfully awkward.

Anonymous Mon Dec 13 21:31:59 2010 No.2199146

>>2199109
whoa man. how do you take an interest in math as making me an over achiever? I go to public school, i'm a senior. All i do is go to my 4 easy tier classes, and then calculus.

also, i enjoy how you're trying to make me feel stupid for trying to learn a little more.

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