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And the WORD was made flesh, and dwelt among us. (John 1:14) 


Just Math Sci Net and similar data base searches which will enable you to find the papers you are looking for. For most part unless you are affiliated to a major research university those resources are not freely available to you. This is the comprehensive list of free internet sources
I compiled for the library at my university The largest collection (450) of links to free Journals can be found on this website http://math.golonka.se/ You may check the impact factor of Journals http://www.incites.com/research/200...15_20012.html and see that most top journals are actually freely available. The other important links are http://www.math.ethz.ch/EMIS/ELibM.html http://www.emis.de/projects/JFM/ http://www.zblmath.fizkarlsruhe.de/MATH/home http://front.math.ucdavis.edu/ http://www.ams.org/mathscinet/ http://www.jstor.org/?cookieSet=1 http://www.emis.de/journals/short_index.html http://www.emani.org/ The question is ill posed. I need to know how much you know, what subject you want to learn and how deep, before I can make any recommendations. Cheers, OKO P.S. In the case you wonder, I am a professional research mathematician 


Being just a student, I recommend the one and only http://www.amazon.com/ElementsDiscr.../dp/0070381305
Trust me. I feel very lucky to have been provided with this book by the University. It contains introductory for most of the things I think you're interested in  set theory, boolean algebra, logic, induction etc. My apologies for not mentioning any other title but almost all math books I read/use are in greek. But there are tons of it. Grab some and go for it. Quote:
Thanks Last edited by anemos; 9th January 2009 at 10:03 PM. 


You really should give some indication on what branch of math you are interested in. My area is partial differential equations, but that may be of little interest to you. So what do you want to be able to do with math?



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Anyway, the reason I asked for www/book recommendations is because I not sure where to look for math info. 


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This is the book http://math.ucsd.edu/~ebender/DiscreteText1/index.html I will use to teach one semester introduction into Discrete mathematics to a class of freshmen majoring in CS at my university. I am planing to use the following for the second semester http://math.ucsd.edu/~ebender/DiscreteText2/index.html The above books have some tiny logical mistakes and inconsistencies but I could not find better for the freshman course especially if you take into account the price Cheers, Oko P.S. By the way my area of expertise in wider sense is dynamical systems but that is a huge field and I know just tiny bits of it. Last edited by Oko; 10th January 2009 at 03:50 AM. 


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I'm just outside Washington DC at the moment reviewing proposals submitted by academics for funding. Though the topic area is in what I do, the panel had over 20 people on it, with (micro)biologists, chemists, materials scientists, (bio)chemical engineers, physicists, and many others. All had important roles in understanding completely the 40+ proposals we reviewed There just is no way any substantially smaller group could have done as good a job  we needed the mix of skills and specialties that people had within the larger disciplines  and this is in one niche science and technology area. The same is true for math. It is an enormous field, and the best anyone can do is to learn the small part of it that applies to your interest. But do learn the fundamentals, and learn it well. 


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during his life time was Euler who died in 1783. The last human being who new significant chunks of mathematics was John (Janos in Hungarian) von Neumann. He had papers published in Functional Analysis, Ergodic Theory, Operator Algebras, Game Theory, Numerical Analysis, Set Theory, Quantum Mechanics, and of course he built the first computer. He died 1957. His daughter still lives in Boston. Last edited by Oko; 10th January 2009 at 07:53 AM. 


I find it hard to answer this question, mainly because i am (obviously) no authority on this matter.
Practically speaking, for the typical working programmer, not much. But, there is plenty of interesting stuff out there that's only available in the form of research papers; an interesting idea or maybe a better/faster algorithm that you could use in your application. Now, I suppose for a research paper to have some credibility it needs to have a solid mathematical foundation. But, its this math that makes it impervious to us ordinary mortals. Also, it can be argued that even if you don't actually use it, it's still good to know it. 


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algebras do you think I would like to hire data base developer who do not know it? Oko P.S. *SQL are NOT fully relational DB which sucks IMHO. 


Check out this article by S Yegge: http://steveyegge.blogspot.com/2006...ogrammers.html



I probably have one of the worst levels of education in mathematics, out of everyone on this forum.... so anything I can write should probably be taken with a grain of salt. But honestly, the only thing I've needed to know about math in order to work with programs, is how to read what's in front of me, and to understand how numbers can work together. The only real exceptions to the above statements, have usually involved some form of cryptography or a derivative subject; where the need for math can really kick in.
One could argue, that virtually everything interesting in Computer Science can fit (more tersely) into Mathematics at some level, CS is in of it self, a branch of math I believe. Many of the things that I've read about data structures and algorithms over the years, are really not that different then what I've found on topics related to mathematics or physics; just a different application of thought. The software side of computer science needs to address the issue of design and maintainability of the software, which is probably not necessary in most other branches of mathematics. The parts that seem to fall into math & logic, should be easy enough to come to grips with, but a good education in math is well worth it!!! Quote:
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My Journal Thou shalt check the array bounds of all strings (indeed, all arrays), for surely where thou typest ``foo'' someone someday shall type ``supercalifragilisticexpialidocious''. 


Wolfram mathworld http://mathworld.wolfram.com/ is a good online source
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Umm, that's the problem, I don't have an answer to that. And I don't know exactly what to ask.
I guess its a bit like a newbie programmer who's probably just figured out how to use pointers asking how do I learn kernel prog., or maybe the guy from ancient China who's managed to learn to use a sword asking how do I become a Ninja... 
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