The Intersection of History and Mathematics
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Edited by Erwin Hiebert and Hans Wussing Editorial Board: S. M. R. Ansari, Aligarh D. Barkan, Pasadena H. J. M. Bos, Utrecht U. Bottazzini, Bologna J. Z. Buchwald, Toronto S. S. Demidov, Moskva J. Dhombres, Nantes J. Dobrzycki, Warszawa Fan Dainian, Beijing E. A. Fellmann, Basel M. Folkerts, Miinchen P. Galison, Stanford I. Grattan-Guinness, Bengeo J. Gray, Milton Keynes
R. Halleux, Liege S. Hildebrandt, Bonn E. Knobloch, Berlin Ch. Meinel, Regensburg G. K. Mikhailov, Moskva S. Nakayama, Tokyo L. Novy, Praha D. Pingree, Providence W. Purkert, Leipzig J. S. Rigden, New York D. Rowe, Mainz A. I. Sabra, Cambridge R. H. Stuewer, Minneapolis V. P. Viz gin, Moskva
Birkhauser Verlag Basel . Boston . Berlin
The Intersection of History and Mathematics Editors: Sasaki Chikara Sugiura Mitsuo Joseph W. Dauben
1994
Birkhauser Verlag Basel· Boston· Berlin
Editors: Professor Ch. Sasaki The University of Tokyo Department of History & Philosophy of Science 3-8-1, Komaba, Meguro-ku, Tokyo 153, Japan
Professor M. Sugiura Vice-Chairman Tsuda College 2-1-1, Tsuda-cho, Kodaira-shi, Tokyo 187, Japan
Professor J. W. Dauben, Chairman Program in History The Graduate Center, CUNY 33 West 42nd Street New York, NY 10036-8099, USA
A CIP catalogue record for this book is available from the Library of Congress, Washington D.C., USA Deutsche Bibliothek Cataloging-in-Publication Data The intersection of history and mathematics / ed.: Chikara Sasaki ... - Basel ; Boston ; Berlin : Birkhauser, 1994 (Science networks; Vol. 15) NE: Sasaki, Chikara [Hrsg.]; GT This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use, permission of the copyright owner must be obtained. © 1994 Birkhauser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland Softcover reprint of the hardcover 1st edition 1994
Camera-ready copy prepared by the editors Printed on acid-free paper produced from chlorine-free pulp ISBN 978-3-0348-7523-3 ISBN 978-3-0348-7521-9 (eBook) DOl 10.1007/978-3-0348-7521-9 987654321
Table of Contents
Preface Sasaki Chikara ............................................................
Vll
Mathematics: An Historian's Perspective Joseph W. Dauben ......................................................... 1 Une Methode de Restitution - quelques examples dans Ie cas de Pascal Hara Kokiti ............................................................... 15 The Birth of Maxwell's Electro-Magnetic Field Equations William J. Ellison ......................................................... 25 Complex Curves - Origins and Intrinsic Geometry Jeremy J. Gray ............................................................ 39 From GauE to WeierstraE: Determinant Theory and Its Historical Evaluation Eberhard Knobloch ........................................................ 51 The Reciprocity Law from Euler to Eisenst
