ENGLISH

Computational excursions in analysis and number theory

By Peter Borwein

Book information

Publisher
Springer
Year
2002
ISBN
0387954449, 9780387954448
Open Library ID
OL7448940M
Language
english
Format
DJVU
Filesize
2 MB (1615206 bytes)
Series
CMS Books in Mathematics
Edition
1
Pages
225\225
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

Description

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.

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