About this book
This book is designed for a computationally intensive graduate course based
around a collection of classical unsolved extremal problems for polynomials.
These problems, all of which lend themselves to extensive computational
exploration, live at the interface of analysis, combinatorics and number
theory so the techniques involved are diverse.A main computational tool used
is the LLL algorithm for finding small vectors in a lattice. Many exercises
and open research problems are included. Indeed one aim of the book is to
tempt the able reader into the rich possibilities for research in this area.
Peter Borwein is Professor of Mathematics at Simon Fraser University and the
Associate Director of the Centre for Experimental and Constructive
Mathematics. He is also the recipient of the Mathematical Association of
America's Chauvenet Prize and the Merten M. Hasse Prize for expository writing
Graduate mathematics students, mathematicians