The Amazing Mathematics Illuminated

Mathematics Illuminated is an amazing multimedia resource created by Annenberg Media. It contains text articles, videos, and java applets that discusses mathematics ranging from the most ancient to the most modern. The title of 13 chapters are the following.

  1. The Primes
  2. Combinatorics Counts
  3. How Big is Infinity
  4. Topology’s Twists and Turns
  5. Other Dimensions
  6. The Beauty of Symmetry
  7. Making Sense of Randomness
  8. Geometries Beyond Euclid
  9. Game Theory
  10. Harmonious Math
  11. Connecting with Networks
  12. In Sync
  13. The Concepts of Chaos

It also contains textbooks, facilitator’s guides, participant’s guides, interactive applets and many other teaching tools that can be used in teaching and learning mathematics.

If you are a mathematics teacher or enthusiast, Mathematics Illuminated is really worth visiting.

Free Geometry and Topology Ebooks

Below are free Geometry and Topology ebooks. Most of these books are in PDF format. Some of the links point to a website containing the ebooks, while some directly links to the pdf files. All of these ebooks are downloadable and free.

  1. CK-12 Geometry by V. Cifarelli, A. Gloag, D. Greenberg, J. Sconyers, B.
  2. Geometry for Elementary School by Wikibooks
  3. The Elements by Euclid

College Geometry and Beyond

  1. A First Course in Topology: Continuity and Dimension by John McCleary
  2. A Tour of Triangle Geometry by Paul Yiu
  3. Algebraic and Geometric Topology by Andrew Ranicki, Norman Levitt, Frank Quinn
  4. Algebraic Curves: an Introduction to Algebraic Geometry by William Fulton
  5. Algebraic geometry and projective differential geometry by Joseph M. Landsberg
  6. Algebraic Geometry by J.S. Milne
  7. An Introduction to Differentiable Manifolds and Riemannian Geometry by William M. Boothby
  8. An Introduction to Riemannian Geometry by Sigmundur Gudmundsson
  9. Classical Geometry by Danny Calegari
  10. Computational Geometry
  11. Course of Differential Geometry by Ruslan Sharipov
  12. Elementary Topology O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
  13. Fractal Geometry by Michael Frame, Benoit Mandelbrot, Nial Neger
  14. Fundamentals of Geometry by Oleg A. Belyaev
  15. Geometric Asymptotics
  16. Geometry and Billiards by Serge Tabachnikov
  17. Geometry and Group Theory
  18. Geometry and Quantum Field Theory by Pavel Etingof
  19. Geometry Formulas and Facts by Silvio Levy
  20. Geometry study guide
  21. Geometry of Surfaces Nigel Hitchin
  22. Geometry of the Sphere by John C. Polking
  23. Geometry, Topology, Geometric Modeling by Jean Gallier
  24. Geometry Unbound Kiran S. Kedlaya
  25. Intrinsic Geometry of Surfaces by A. D. Aleksandrov and V. A. Zalgaller
  26. Introduction to Symplectic and Hamiltonian Geometry by Ana Cannas da Silva
  27. Natural Operations in Differential Geometry Ivan Kolar, Peter W. Michor, Jan Slovak
  28. Non-Euclidean Geometry by Henry Manning
  29. Open Problems in Topology by Jan Van Mill, George M. Reed
  30. Projective and Polar Spaces by Peter J. Cameron
  31. Projective Differential Geometry Old and New by V. Ovsienko, S. Tabachnikov
  32. Projective Geometry by Nigel Hitchin
  33. Riemann surfaces, dynamics and geometry Course Notes
  34. The Eightfold Way: The Beauty of Klein’s Quartic Curve editedy by Silvio Levy
  35. The Foundations of Geometry by David Hilbert
  36. The Geometry and Topology of Three-Manifolds William P Thurston
  37. The Geometry of Iterated Loop Spaces by J. P. May
  38. Topics in Finite Geometry: Ovals, Ovoids and Generalized Quadrangles by S. E. Payne
  39. Topology and Geometry for Physics by H. Eschrig
  40. Topology Without Tears by Sydney A. Morris

You may also want to view my list of Free Algebra and Free Calculus ebooks.