The book is based on lecture notes of a course "from elementary number theory to an introduction to matrix theory" given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate mathematics that can be introduced in high school through solving challenging problems. These topics include Number theory, Set Theory, Group Theory, Matrix Theory, and applications to cryptography and search engines.
<p><strong>Avi Berman</strong> is a Professor Emeritus of Mathematics and a Senior Researcher in the Samuel Neaman Institute. At the Technion he held the Israel Pollak Academic Chair and was Head of the Department of Education in Science and Technology, the Center for Pre-University Education and the Interdepartmental Program in Applied Mathematics.</p> <p>His research interests include Nonnegative Matrices, Spectral Graph Theory and Problem Solving and composing He had the pleasure of supervising 25 PhD students, 21 MSc students, 12 postdoctoral students and 9 high school students.</p>