Math & Science

• NIST Digital Library of Mathematical Functions
• American Institute of Mathematics (AIM) Problem Lists
• Math Pronunciation Guide - guide to the pronunciation of many math-related names etc.
• Mathlinks.ro - excellent site for math olympiads, active and helpful online forums
• Czech Digital Mathematics Library - search journals and other math resources
• Joseph Malkevitch's home page - has good links and some education resources
• Space Science and Exploration
  
  • Space Links -- links to space agencies, space societies, and more
  • Space Shuttle Launch Schedule
  • Want to be an astronaut? Apply for astronaut selection
  • Locate the current position of the Space Shuttle or the International Space Station
  • Send a free Space Postcard
• Quickmath - solves college and high school problems automatically, using Mathematica over the Internet.  http://www.quickmath.com
• Calc101 - solves and graphs college and high school problems automatically, using Mathematica over the Internet.
• An Introduction to Group Theory - public domain textbook
• OpenMathText.org - free math lecture notes
• FreeMathTexts.org - free math textbooks
• Linear Algebra - free textbook
• Elements of Abstract and Linear Algebra - free textbook (copyrighted though)
• List of Open Math Textbooks
• Another list of Open Textbooks
• The Math Forum at Swarthmore: excellent source of information by subject, plus math FAQs http://forum.swarthmore.edu/
• Mathematics for Computer Science -- Online Linear Algebra and Applications textbook
• Compendium of NP-hard problems
• Calculus.org - calculus resources online
• Pi Day - Five Tasty Facts about the famous ratio (New Scientist, 3/12/2010)
• Pi Search Page - search for strings in pi
• TeX and LaTeX Resources:
  • LaTeX Project home page
  • CTAN: the Comprehensive TeX Archive Network -- where to get TeX and LaTeX
  • TeX FAQ in English
  • TeX Users Group -- join and get TeX and other software on CD
  • American Mathematical Society TeX Resources
• Mathematics Societies:
  • American Mathematical Society (AMS)
  • Mathematical Association of America
  • Society for Industrial and Applied Mathematics
• Clay Mathematics Institute - home of the $1000000 'millenium' problems
• Open Problems for Undergraduates - DIMACS at Rutgers. Unsolved problems.
• Dimensions-math.org - chapters and videos exploring 4th-dimensional objects and related math
• Minesweeper and P vs NP:
  
  • Richard Kaye's Minesweeper Pages
  Ian Stewart on Minesweeper
• Sokoban - mathematically interesting and addictive game; warning: this site has spyware popups; make sure you say "No" when asked if you want to install them
• Mathematically Interesting Games
• Graph paper printing program for Windows 95/98/NT/2000/ME/XP: excellent! Prints many different types of graph paper.   Graph Paper Printer is a program designed to print out an amazing variety of graph papers, customized and impossible to find in stationeries: lin, log, polar, axonometric, isometric, probability, square root, quadratic, Rayleigh, Weibull, Smith, binomial, Mercator. A bonus is made of music staff manuscripts, shapes, patterns, calendars, handwriting paper, tables, lego paper, targets, dial indicators. You can add titles, captions, copy/paste in your word processor. Printing is possible up to A3 format. Graph Paper Printer is primarily an educational tool that is useful from the elementary level to university, but will help at home for hobbies and in any job related to sciences or designing. Definitely recommended. $20.
• Graph Theory, 4th Edition, by Diestel - free online e-book
• Graphdrawing.org -- organization for those into graph theory, graph drawing, etc. Home of GraphML XML-based format for graph representation.
• Tulip Project - dedicated to visualization of huge graphs
• Maple Tutorials:
  • Waterloo Maple - the Maple root source
  • NC State - Richard M. Felder, Department of Chemical Engineering
  • Ohio State - Physics with Maple -Department of Physics - Physics Education Research Group
  • Seattle Community College - quite brief
  • Maple V by Example - Stephen Lovett
  • Maple Tutorials from Prof. G. Donald Allen
  • University of Washington - Math Sciences Computing Centre
• Fundamental Physical Constants from the National Institute of Standards and Technology (NIST):    http://physics.nist.gov/cuu/Constants/index.html?
• Eric's Treasure Trove of Physics: excellent source for physics definitions and information.  http://www.astro.virginia.edu/~eww6n/physics/physics.html
• Dictionary of Science and Technology -- free online from Academic Press
• The CRC Encyclopedia of Mathematics (Eric Weisstein's World of Mathematics): Huge and wonderful math resource, hosted at Wolfram.  http://mathworld.wolfram.com/.
• Mathematical logic resource; fuzzy logic; download a brief course in fuzzy logic
• Fallacies to avoid; fallacies found in incorrect proofs
• Mathematical paradoxes
• Russell's Paradox, and more Russell's Paradox discussion, and more at Cut the Knot.
• Set Theory: History of Set Theory; Notes on Set Theory; Venn Diagrams; Set Operations
• World of Numbers: cool site!  http://www.ping.be/~ping6758/
• Niel Sloane's Online Encyclopedia of Integer Sequences
• Sorting and Searching Algorithms: A Cookbook
• Computational Complexity: A Compendium of NP Optimization Problems
• Undecidability of the Halting Problem -- a discussion in poem form :)
• Goldbach's Conjecture (and related news)
• The Prime Pages -- lists of prime numbers, prime-related programs
• Mersenne Primes
• Notes and Literature about Prime Numbers -- has interactive programs to help explore primes
• Number Theory Web
• The Euler Project -- making many of Euler's writings available in translation
• Fibonacci Numbers and the Golden Mean -- lots of info
• Modular Arithmetic site at Cut the Knot
• Bliss Sloan answers a reader's question on the speed of light
• Science Magazine:   http://www.sciencemag.org/
• Science News Magazine:   http://www.sciencenews.org
• Scientific American magazine:   http://www.sciam.com
• The Institute of Physics, excellent site:   http://www.physics.org/
• Science Web Links - excellent links!:   http://www.search-beat.com/science.htm
• Proving functions 1-to-1 ; Proving functions onto
• Notes on methods of proof
• Samples of proofs using induction
• Recursive procedures -- an introduction.
• Cut the Knot -- "interactive mathematical miscellany and puzzles" -- find a variety of proofs here
• Ordinary Differential Equations resources from Prof. G. Donald Allen
• Graph Theory info:   http://www.springer-ny.com/supplements/diestel/
• Troves of Science, very good site:   http://www.astro.virginia.edu/~eww6n/
• Dave's Math Tables in English and Spanish:   http://www.sisweb.com/math/tables.htm
• Mathematics Electronic Library at the Univ. of Waterloo, Canada
• Finite Mathematics and Applied Calculus Resource Page: http://www.hofstra.edu/~matscw/RealWorld/index.html -- excellent resource, plus good online and software tools!
• Hashing -- RSA Lab's FAQ on Hashing
• A-to-Z Cryptology
• Introduction to Cryptography
• RSA FAQ on Cryptography
• Handbook of Applied Cryptography -- by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone, available FREE online! This wonderful book is the biggest bargain in crypto yet! A definite download must! Our VP reads in this one over and over. It has great info and is an excellent guide for directed study. :)
• Bart Preneel's Home page -- lots of great info from the crypto expert -- a definite must-read for crypto lovers!
• CLN -- Bruno Haible's bignum computation FTP site -- huge list of files related to big number computations, including gmp.
• MAGMA Computational Algebra System
-- "Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric and geometric objects."
• CWI Project -- Computational number theory and data security
• Sloan's Online Encyclopedia of Integer Sequences
• The Combinatorial Object Server
• Peter Cameron's home page - combinatorics resource
• The New Proof of the Four-Color Theorem
• World Web Math at MIT - attempts to present concepts of undergraduate math on the Web. Not complete, but has sections on calculus and vector calculus as of this writing.
• HFLOAT -- "Jörgs useful and ugly HFLOAT page" -- useful huge floating point routines, other "bignum" routines and info, 64k digits of pi, comparison of pi-generation algorithms, more pi and e links! Like the author says, this is a useful site! "Parental warning: explicit numbers" :)
• Number theoretic packages, by Keith Matthews -- list of number theory FTP sites and calculators
• Journal of Craptology -- humorous journal for cryptology fans :)
• The hash function RIPEMD-160
-- Bart Preneel's wonderful RIPEMD-160 page is full of very interesting facts.
• Dave's English-Spanish Math Dictionary: http://www.sisweb.com/math/spanish/eng-spa.htm
• Euclidean Algorithm tutorial
• Chinese Remainder Theorem at Cut the Knot
• Matrix Multiplication Algorithms
• University of Oregon Physics page, with useful tutorials, etc.:   http://zebu.uoregon.edu/
• Syracuse University applets on relativity:   http://physics.syr.edu/courses/modules/LIGHTCONE/index.html
• Davidson College Physics site, has "physlets," or Java applets about physics:   http://webphysics.davidson.edu/
• exoScience - Science of Space, etc.:   http://exosci.com/
• Yucky - Yucky.com, the "best place for science experiments for kids":   http://www.yucky.com/yucky/
• Physics News:   http://www.het.brown.edu/news/index.html
• Space News Online:   http://www.spacenews.com/
• Federation of American Scientists -- "The Federation of American Scientists conducts analysis and advocacy on science, technology and public policy, including national security, nuclear weapons, arms sales, biological hazards, secrecy, education technology, information technology, energy and the environment. FAS is a privately-funded non-profit policy organization whose Board of Sponsors includes 58 of America's Nobel laureates in the sciences." Has good military and "spy" info.
• Tutorial on representing numbers in bases, with software
• Bases: Binary Arithmetic, Octal Arithmetic, Decimal, Hexadecimal Arithmetic
  • Numbers in the Computer: A tutorial on bases and binary arithmetic. First explains decimal representation of numbers, then binary.
  • Binary Arithmetic slideshow, from McGill University: terse but helpful. :)
    
• Word Problem practice and help:
  • Job Completion Math Problems Review, #1, by Crystal (Bliss) Sloan
  • Job Completion Math Problems Review, #2, by Crystal (Bliss) Sloan
  • Job Completion Math Problems Review, #3, by Crystal (Bliss) Sloan
  • Word Problems for Kids -- Problems are rated by grade, for 5th through 12th grades.  If you can do all these, you should be OK with many project management word problems.
  • Word Problems on Job Completion -- If you can always get problems like these right, you should do just fine solving scheduling and resource allocation problems using project management software.
  • SOS Math -- Algebra -- Most of this page is beyond what you will need in introductory project management classes, but the arithmetic links at the beginning talk about problems you should be able to solve.
  • Math Archives - Topics in Math - Arithmetic -- Lots of links for help with arithmetic from the University of Tennessee in Knoxville.
  • Syvum.com -- even more word problems for K-6, including job completion problems! Has English and other problems, too.  For example, see the "tailor" problem in the K-6 Word Problems Level I and Level II.