Mathematics Links

• American Regions Math League.
• Clay Mathematics Institute: One Million Dollar math problems.
• Common Errors in Undergraduate Mathematics.
• Competitions:
  • American Mathematics Competition.
  • ARML: American Regions Mathematics League
  • Putnam competition directory.
• Experimental Mathematics Web Site, related to two volume book of the same title.
• Figure This! math challenges for families.
• Cut-the-knot.org, interactive mathematics miscellany and puzzles, with many nice geometric proofs.
• HeyMath.net, electronic learning system to help students learn math more effectively.
• Math Connections, integrated math books for grades 9-12.
• Mathematical modeling
• Mathematics Illuminated, free 13-part online course for adults and teachers about mathematics.
• Mathematics Teaching in the Middle School.
• Miegakure, game to aid exploring four dimensions.
• Minimal surfaces (MSRI link).
• Mudd Math Fun Facts.
• National Council of Teachers of Mathematics, with a link to the Curriculum and Evaluation Standards for School Mathematics.
• On-line Encyclopedia of Integer Sequences.
• Online math and statistics books:
  1. Abramovitz and Stegun: Handbook of Mathematical Functions, 10e
  2. Advanced Calculus by Loomis and Sternberg. Book used in Math 55 at Harvard in '60s and early '70s.
  3. Applied Mathematics: Body and Soul by K. Eriksson, D. Estep, and C. Johnson. Novel integrated approach to calculus and linear algebra, with strong constructive and computational emphasis.
  4. A First Course in Linear Algebra by Robert Beezer (2006).
  5. FLCT: Funny Little Calculus Text
  6. Introduction to Probability by Charles Grinstead and J. Laurie Snell.
  7. Mathematical Tools for Physics by James Nearing.
  8. A New View of Statistics by Will G. Hopkins (2004).
  9. OpenIntro Statistics
  10. Plane Geometry: An Elementary Textbook by Doron Zeilberger.
  11. Probability Theory: The Logic of Science by E. T. Jaynes.
  12. Theory of Equations by Barry H Dayton.
• Origami
  • Origami and Geometric Constructions.
  • Robert J. Lang, origami pioneer.
• Project Euler, mathematics challenges that require programming and mathematical insights to solve.
• Puzzles
  • Sudoku, popular 9x9 number puzzle.
  • The Master Theorem, original puzzles.
• Strogatz New York Times columns
  1. 2010 columns: "Elements of Math"
  2. 2012 columns: "Me, Myself, and Math"