Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python

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things at work (and believe me, thats how most people do Math in India. Or maybe, thats how they used to , when last word on logic Kleene is one of the best and most original in field but well his view is specific and ... i prefer to be Feynman's slave than Kleene's ... there is good handbook of logic editet by Jon Barwise too Excellent article. It's strange that I've started teaching myself math the same as you. It starts with wikipedia, and it usually starts on a less math related subject, such as turing machines, string theory, heim theory, quantum computers, etc.

College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math For a programmer calculus is close to useless unless you are doing computer graphics, but I think that some of the more discrete stuff must come up in just about every program ever written. I don't recommend ignoring long division because there are generalizations of this idea called 'integral domains.' where this is important when you need to find the greatest common divisor (important in cryptography applications). You can follow this link to get a good free ebook about mathematical logic, written by Stefan Bilaniuk: You are doing the breadth, but haven't really gotten to the depth yet, at least not in this article. The right way to learn math is breadth-first, not depth-first. You need to survey the space, learn the names of things, figure out what's what.to begin with, i always think of myself as good at math. I have been doing a program called Kumon (it started in Japan, it sums up to being 25 minutes of math a day, everyday, 365 days a year) and i had a HUGE start on it. It is quite logically structured, and makes everything quite easy to learn.the only arguement i would make about it is that is disallows calculators, however i think that for basic arithmetic one should be able to do it mentally anyways. To make a long story short I can do linear algebra in my head while the teacher starts writing the first step on the board. There are lots and lots of mathematical techniques and entire sub-disciplines out there now. If you don't know what combinatorics is, not even the first clue, then you're not very likely to be able to recognize problems for which the solution is found in combinatorics, are you? think in a much more logical way when I am doing math on a regular basis. And yes Steve, I use ONLY

So they're right: you don't need to know math, and you can get by for your entire life just fine without it. Statistics, some of which is covered in my discrete math book, but it's really a discipline of its own. A pretty important one, too, but hopefully it needs no introduction.

about the book

It would be nice if you could post a list of books that you are currently reading/have read/will read 12:34 AM, March 20, 2006 Unknown said... I wish they would have talked about some of this stuff when I was in high school, I would have paid much more attention. When you start understanding the history and the actual problems that are solved and more importantly what mathematics attempts to explain...oh my...I would have been a super geek in school. 1:13 PM, March 17, 2006 Anonymous said... Exept, Long division is something i was NEVER tought to do, thats right, i was never tought how to do it, i really couldnt work it out.. it was assumed that everyone would know how to do it when the past 7 years i had been told "No, dont worry about it, just use the calculator, you'll allways have one handle, and if you dont, theres subtraction" Something i agree with..

It may not be a Computer Science degree(Actually its Bach of Information Technology -- but no-one comment on that) But still requires abit of knowledge.. So now come university, And i'm doing discrete mathematics as a first unit, rather easy to understand straight off the bat unlike many others who thought they were exelent at maths the last 2 years..And then you should pull out the calculator. It might be a very fancy calculator such as R, Matlab, Mathematica, or a even C library for support vector machines. But almost all useful math is heavily automatable, so you might as well get some automated servants to help you with it. Okay, I have a six year old daughter just about to embark on the long trial of math education and wanted to ask if you could point me to any resources that you consider teach math more effectively. I agree with you regarding the formal curiculumn and I spent lots of time unlearning my math class material so if there's a better way I'm definitely game to try. At least to save my kids the same torture. 2:53 PM, March 17, 2006 Anonymous said...