Episodes in the Mathematics of Medieval Islam

This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition incl

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Episodes in the

Mathematics of

Medieval Islam Second Edition

Episodes in the Mathematics of Medieval Islam

J.L. Berggren

Episodes in the Mathematics of Medieval Islam Second Edition

123

J.L. Berggren Department of Mathematics Simon Fraser University Burnaby, BC Canada

ISBN 978-1-4939-3778-3 DOI 10.1007/978-1-4939-3780-6

ISBN 978-1-4939-3780-6

(eBook)

Library of Congress Control Number: 2016952523 © Springer Science+Business Media New York 1986, 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media LLC The registered company address is: 233 Spring Street, New York, NY 10013, U.S.A.

Preface

Thirty years have elapsed since the appearance of the first edition of this book, and the author has been much gratified by the positive reaction of professional colleagues as well as individuals previously unknown to him who have written to express their enjoyment of the book. However, in those 30 years much has happened in the study of the history of mathematics in the medieval Islamic world. Young scholars, who were just beginning their careers when Episodes was written (or, indeed, were not yet born), as well as others, have made a number of important sources, together with penetrating studies of the same, available in European languages. Moreover, increasing attention has been paid to the setting of mathematics in medieval Islamic society, how it was taught, and how its study was fostered. But, in addition to taking into account the growth of the field there is another reason for a second edition of this work, and that is that the first edition did not cover the role of mathematicians in the Western regions of medieval Islam. Shortly after the book appeared, a colleague in that part of the world wrote and asked why I had not included material on mathematics in that region. To this very reasonable question I could only reply, as Dr. Johnson