This is a fun collection of on-line quizzes:
The mostly math quizzes cover topics from arithmetic, exponents, and place value to trigonometry and calculus. There are also some science, geography, and vocabulary quizzes as well.
The quizzes are fairly elementary, but they are easy to get into. And fun!
A free calculus textbook, “Elementary Calculus: An Infinitesimal Approach” is available for download here:
http://www.math.wisc.edu/~keisler/calc.html
The book, written by the University of Wisconsin’s Jerome Keisler, seems to take an advanced and rigorous approach to the topic, beginning with an introduction to real and hyperreal numbers (hence the “Infinitesimal Approach”).
The fourteen chapters include the standard Calculus topics, and also multivariable and vector calculus topics such as Vectors and Partial Derivatives. Every chapter has multiple sets of exercises.
This is a nice resource for the Calculus teacher or the advanced student looking for a rigorous approach to Calculus.
The website CK12.org offers around 100 free e-textbooks, including more than 30 free math e-texts.
http://www.ck12.org/flexbook/browse/seeall/mathematics/
There are several books covering Algebra, Geometry, and elementary and advanced Statistics , and there is a Calculus text available.
In addition to math books, there are also free books in Biology, Chemistry, Physics, and other academic subjects.
This is a nice resource: a Famous Curves Index, provided by the School of Math and Statistics at the University of St. Andrews, Scotland.
http://www-history.mcs.st-and.ac.uk/Curves/Curves.html
You can view graphs of the tractrix, Fermat’s Spiral, and Quadratrix of Hippias, and see their various algebraic representations. Each entry in the Curve Index contains a brief history of the curve, some interesting facts, and links to other related curves.
This collection is similar to another fun resource provided by the same program: a comprehensive on-line library of biographies of mathematicians.
Related Posts
In honor of the Bridges Organization and its annual conference on Math and Art, I will be posting about math, art, and their many intersections for the next two weeks.
The Bridges 2011 conference, held in Coimbra, Portugal, features prominent mathematicians and artists from around the world. Fields’ Medalist William Thurston and the soon-to-be Museum of Mathematics‘ George Hart among others will be giving talks and presenting their art. A program of select participants can be seen here:
http://bridgesmathart.org/bridges-2011/2011-speakers-coordinators/