Archive for the ‘linear algebra’ Category

Version 0.4 of book “Sage for High School” released

31 July 2010 1 comment

I’m happy to announce the release of version 0.4 of the book Sage for High School. My primary concern in this version was to flesh out the chapter “Vectors and Matrices”. The PDF and source tarball are available for download. The chapter outline is as follows:

  • Scalars and vectors
  • Add, subtract, and multiply vectors
  • Three-dimensional vectors
  • The dot product
  • Parallel and perpendicular vectors
  • Matrices and determinants
  • The cross product

Version 0.4 adds another section to the chapter “Number Theory”, called “Kid RSA”. This additional section explains a simplified version of the RSA cryptosystem, using number theoretic concepts introduced in the chapter “Number Theory”. The simplified cryptosystem is called “Kid RSA”, developed by Neal Koblitz. You can find Kid RSA in his book:

  • N. Koblitz. Algebraic Aspects of Cryptography. Springer, 1998.