Computational excursions in analysis and number theory / Peter Borwein.

Format:

Book

Author/Creator:

Borwein, Peter B.

Contributor:

Sabin W. Colton, Jr., Memorial Fund.

Series:

CMS books in mathematics ; 10.

CMS books in mathematics ; 10

Language:

English

Subjects (All):

Number theory.

Diophantine analysis.

Physical Description:

x, 220 pages : illustrations ; 24 cm.

Place of Publication:

New York : Springer, 2002.

Summary:

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 in mathematics.

Notes:

Includes bibliographical references (pages 203-216) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Sabin W. Colton, Jr., Memorial Fund.

ISBN:

0387954449

OCLC:

48892598