Andreescu T & Andrica D - Complex Numbers from A to Z (Birkhäuser 2006).pdf - liczby zespolone - vaette

About the Authors

Titu Andreescu received his BA, MS, and PhD from the West University

of Timisoara, Romania. The topic of his doctoral dissertation was “Research

on Diophantine Analysis and Applications.” Professor Andreescu currently

teaches at the University of Texas at Dallas. Titu is past chairman of the USA

Mathematical Olympiad, served as director of the MAA American Mathemat-

ics Competitions (1998–2003), coach of the USA International Mathematical

Olympiad Team (IMO) for 10 years (1993–2002), Director of the Mathemat-

ical Olympiad Summer Program (1995–2002) and leader of the USA IMO

Team (1995–2002). In 2002 Titu was elected member of the IMO Advisory

Board, the governing body of the world’s most prestigious mathematics com-

petition. Titu received the Edyth May Sliffe Award for Distinguished High

School Mathematics Teaching from the MAA in 1994 and a “Certiﬁcate of

Appreciation” from the president of the MAA in 1995 for his outstanding

service as coach of the Mathematical Olympiad Summer Program in prepar-

ing the US team for its perfect performance in Hong Kong at the 1994 IMO.

Titu’s contributions to numerous textbooks and problem books are recognized

worldwide.

Dorin Andrica received his PhD in 1992 from “Babe¸-Bolyai” University in

Cluj-Napoca, Romania, with a thesis on critical points and applications to the

geometry of differentiable submanifolds. Professor Andrica has been chair-

man of the Department of Geometry at “Babe¸-Bolyai” since 1995. Dorin has

written and contributed to numerous mathematics textbooks, problem books,

articles and scientiﬁc papers at various levels. Dorin is an invited lecturer at

university conferences around the world—Austria, Bulgaria, Czech Republic,

Egypt, France, Germany, Greece, the Netherlands, Serbia, Turkey, and USA.

He is a member of the Romanian Committee for the Mathematics Olympiad

and member of editorial boards of several international journals. Dorin has

been a regular faculty member at the Canada–USA Mathcamps since 2001.

Titu Andreescu

Dorin Andrica

Complex Numbers

from A to...Z

Birkhauser

Boston • Basel • Berlin

Titu Andreescu

University of Texas at Dallas

School of Natural Sciences and Mathematics

Richardson, TX 75083

U.S.A.

Dorin Andrica

“Babe¸-Bolyai” University

Faculty of Mathematics

3400 Cluj-Napoca

Romania

Cover design by Mary Burgess.

Mathematics Subject Classiﬁcation (2000): 00A05, 00A07, 30-99, 30A99, 97U40

Library of Congress Cataloging-in-Publication Data

Andreescu, Titu, 1956-

Complex numbers from A to–Z / Titu Andreescu, Dorin Andrica.

p. cm.

“Partly based on a Romanian version . . . preserving the title. . . and about 35% of the text”–Pref.

Includes bibliographical references and index.

ISBN 0-8176-4326-5 (acid-free paper)

1. Numbers, Complex. I. Andrica, D. (Dorin) II. Andrica, D. (Dorin) Numere complexe

QA255.A558 2004

512.7’88–dc22

2004051907

ISBN-10 0-8176-4326-5

eISBN 0-8176-4449-0

Printed on acid-free paper.

ISBN-13 978-0-8176-4326-3

2006 Birkhauser Boston

Complex Numbers from A to...Z is a greatly expanded and substantially enhanced version of the Romanian

edition, Numere complexe de la A la...Z , S.C. Editura Millenium S.R. L., Alba Iulia, Romania, 2001

permission of the publisher (Birkhauser Boston, c/o Springer Science + Business Media Inc., 233 Spring

Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly anal-

ysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer

software, or by similar or dissimilar methodology now known or hereafter developed is forbidden.

The use in this publication of trade names, trademarks, service marks and similar terms, even if they are

not identiﬁed as such, is not to be taken as an expression of opinion as to whether or not they are subject to

proprietary rights.

Printed in the United States of America.

(TXQ/MP)

987654321

www.birkhauser.com

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