Cover
title | : | Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Volume 2 |
author | : | Grattan-Guinness, I. |
publisher | : | Taylor & Francis Routledge |
isbn10 | asin | : |
print isbn13 | : | 9780415037853 |
ebook isbn13 | : | 9780203014585 |
language | : | English |
subject | Mathematics--History, Mathematics--Philosophy, larpcal--Filosofia e fundamentos da matematica , larpcal--Matematica (historia) |
publication date | : | 1994 |
lcc | : | QA21.C645 1994eb |
ddc | : | 510/.9 |
subject | : | Mathematics--History, Mathematics--Philosophy, larpcal--Filosofia e fundamentos da matematica , larpcal--Matematica (historia) |
Page i
Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
Volume 2
Edited by
I.GRATTAN-GUINNESS
LONDON AND NEW YORK
Page ii
First published in 1994
This edition published in the Taylor & Francis e-Library, 2003.
Simultaneously published in the USA and Canada
by Routledge Inc.
29 West 35th Street, New York, NY 10001
Selection and editorial matter
1994 I.Grattan-Guinness
The articles 1994 Routledge
All rights reserved. No part of this book may be reprinted or
reproduced or utilized in any form or by any electronic, mechanical
or other means, now known or hereafter invented, including
photocopying and recording, or in any information storage or
retrieval system, without permission in writing from the publishers.
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Library of Congress Cataloging-in-Publication Data
Companion encyclopedia of the history and philosophy of the mathematical
sciences/edited by Ivor Grattan-Guinness.
p. cm.
Includes bibliographical references and index.
ISBN 0-415-03785-9
1. MathematicsHistory. 2. MathematicsPhilosophy. I. Grattan
Guinness, I.
QA21.E57 1992
510'.9dc20 9213707
CIP
ISBN 0-203-01458-8 Master e-book ISBN
ISBN 0-203-32588-5 (OEB Format)
ISBN 0-415-03785-9 (set)
0-415-09238-8 (Vol. 1)
0-415-09239-6 (Vol. 2)
Illustration on title page:
Antelopes drawn by the (Ts)Chokwe people of Angola in their tradition
of monolinear art; the main block of the pattern is composed of one
continuous line, and is so designed that a regular lattice of dots can be
inserted in the spaces (see P.Gerdes, Lusona: Geometrical Recreations of
Africa, 1991, Maputo, Mozambique: Eduardo Mondlare University Press, 15).
On this tradition see 1.8 by C.Zaslavsky, Section 3.
Page iii
ADVISORY EDITORIAL BOARD
The late E.J.AITON (Manchester, England): mechanics and engineering
S.G.BRUSH (College Park, Maryland, USA): physics
J.FAUVEL (Milton Keynes, England): education and institutions
I.GRATTAN-GUINNESS (London, England): calculus and analysis; logic and foundations
J.J.GRAY (Milton Keynes, England): geometries
E.KNOBLOCH (Berlin, Germany): probability and statistics
A.C.LEWIS (Hamilton, Canada): bibliography and reference
A.G.MOLLAND (Aberdeen, Scotland): medieval and Renaissance periods
D.PINGREE (Providence, Rhode Island, USA): non-Western traditions
H.M.PYCIOR (Milwaukee, Wisconsin, USA): algebras
Page iv
This page intentionally left blank.
Page v
Contents
VOLUME 1
Part 0 Introduction | |
Part 1 Ancient and non-Western traditions | |
1.0 | Introduction | |
1.1 | Babylonian mathematicsJens Hyrup | |
1.2 | Egyptian mathematicsC.S.Roero | |
1.3 | Greek mathematics to AD 300Alexander Jones | |
1.4 | Greek applied mathematicsAlexander Jones | |
1.5 | Later Greek and Byzantine mathematicsAlexander Jones | |
1.6 | Pure mathematics in Islamic civilizationJ.P.Hogendijk | |
1.7 | Mathematics applied to aspects of religious ritual in IslamDavid A.King | |
1.8 | Mathematics in Africa: Explicit and implicitC.Zaslavsky | |
1.9 | Chinese mathematicsJ.C.Martzloff | |
1.10 | Indigenous Japanese mathematics,Wasan Tamotsu Murata | |
1.11 | Korean mathematicsYong Woon Kim | |
1.12 | Indian mathematicsTakao Hayashi | |
1.13 | Tibetan astronomy and mathematicsGeorge Gheverghese Joseph | |
1.14 | Mathematics in medieval Hebrew LiteratureY.T.Langermann | |
1.15 | Maya mathematicsM.P.Closs | |
1.16 | The beginnings of counting and numberJohn N.Crossley | |
1.17 | Some ancient solutions to the problem of fractioning numbersKarine Chemla | |
Part 2 The Western Middle Ages and the Renaissance | |
2.0 | Introduction | |
2.1 | Euclidean and Archimedean traditions in the Middle Ages and the RenaissanceJrgen G.Schnbeck | |
Page vi
2.2 | Practical geometry in the Middle Ages and the RenaissanceH.lHuillier | |
2.3 | The Coss tradition in algebraKarin Reich | |
2.4 | Abbacus arithmeticW.Van Egmond | |
2.5 | LogarithmsWolfgang Kaunzner | |
2.6 | Medieval and Renaissance mechanicsA.G.Molland | |
2.7 |
Next page