文档介绍：North-Holland Mathematical Library
Board of Advisory Editors:
M. Artin, H. Bass, J. Eells, W. Feit, P. J. Freyd, F. W. Gehring,
H. Halberstam, L. V. Hormander, M. Kac, J. H. B. Kernperman,
H. A. Lauwerier, W. A. J. Luxemburg, F. P. Peterson, I. M. Singer
and A. C. Zaanen
VOLUME 5
NORTH-HOLLAND PANY- AMSTERDAM LONDON
AMERICAN ELSEVIER PANY. INC. - NEW YORK
Algebra
of Polynomials
HANS LAUSCH
Department of Mathematics
Monash University
Clayton, Australia
and
WILFRIED NOBAUER
Technische Hochschule Wien
IV. Instituf fur Mathematik
Wien, Osterreich
1973
NORTH-HOLLAND PANY- AMSTERDAM LONDON
AMERICAN ELSEVIER PANY, INC. - NEW YORK
@ North-Holland pany - 1973
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Library of Congress Catalog Card Number: 72-88283
North-Holland ISBN for the series: 0 7204 2450 x
North-Holland ISBNfor this volume: 0 7204 24550
American Elsevier ISBN: 0 444 10441 0
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INTRODUCTION
Polynomials are a classical subject of mathematics. The first steps
towards the abstract concept of a polynomial were the investigation of
algebraic equations and the theory of real plex functions f of
the form f(x) = a,$+. . . +alx+ao. The introduction of the abstract
notions of a field and ring at the beginning of this century subsequently
brought about the development of the abstract concept of a polynomial
over mutative ring with identity. While polynomials over the fields
of real plex numbers play an important r61e in analysis and numer-
ical mathematics,