The Mathematical World ofwalter Noll Springer Berlin Heidelberg NewYork Barcelona Budapest HongKong London Milan Paris Santa Clara Singapore Tokyo
Yurie A.Ignatieff The Mathematical World of Walter Noll A Scientific Biography Springer
Dr. Yurie A. Ignatieff Institut für Philosophie Philipps-Universität Wilhelm-Röpke-Strasse 6 D-35032 Marburg. Germany The publication of this book was supported by the Alexander von Humboldt Foundation Bonn, Germany With 10 Figures and 7 Tables Library of Congress Cataloging-in-Publieation Data Ignatieff. Yurie A. 1960- The mathematical world of Walter NoH : a seientifie biography / Yurie A. Ignatieff. p.em. Includes bibliographieal referenees (p. - ) and index. ISBN-13 :978-3-642-79835-1 e-isbn-13:978-3-642-79833-7 001: 10.1007/978-3-642-79833-7 1. NoH, W. (Walter). 1925 -. 2. Mathematieians-United States-Biography. 1. Tide. QA29.N65146 1996 510'.92-de20 [B] 95-25602 ISBN-13:978-3-642-79835-1 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concemed, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag Berlin Heidelberg 1996 Softcover reprint of the hardcover Ist edition 1996 The use of general descriptive names, registered names, trademarks, 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. Cover design: E. Kirchner, Heidelberg Typesetting: Data conversion by K. Mattes, Heidelberg SPIN 10491106 55/3144-5 4 3 210 - Printed on acid-free paper
Inge Lind mit Liebe
Preface I would like to thank all those people in the life of Walter Noll who helped me to write this book: Chancellor ofindiana University Professor Herman B. Wells, Dr. Klaus Andre, Professor Bemard D. Coleman, Stella DeVito, Dr. Peter Fränkel, Professor Morton E. Gurtin, Studiendirektor i.r. Rudolf Hohensee, Faye Mark, Professor Victor J. Mizel, Professor Dietrich Morgenstern, Professor Ralph Raimi, Professor Juan J. Schäffer, Professor Clifford A. Truesdell III, Professor Epifanio G. Virga, Dr. Paul Winkler and many others. I will be always indebted to Inge Lind, my teacher and friend, for a careful reading ofthe manuscript and her invaluable comments. This book would never have been written without the compassion and assistance of many people in Bochum and Marburg. I am especially grateful to Ursula Arras, Dieter and Karola Behm, Achim Bühl, Birgit Berger, Professor Klaus Böhmer, Ute Hagen, Irene Joraszik, Professor Hans-Heinrich Körle, Elke and Manfred Kuhne, Jutta Küster, Johannes Lind, Inka Lins, Annemarie Matt, Astrid Milenz, Matthias Näher, Eckart Rösch, Manfred Schönsee, Professor Werner von Seelen, Christa Seip, Heike Willig, Anita Wolf and many others. I am grateful to the editorial staff of the Springer-Verlag in Heidelberg for its excellent work on this book. My special thanks go to Professor Wolf Beiglböck, Brigitte Reichel-Mayer, Gertrud Dimler, Sabine Landgraf, Dr. Victoria Wicks and many others.
VIII Preface The publication of this book was supported by the Alexander von Humboldt Foundation in Bonn. I express especial gratitude for it to Dr. Dietrich Papenfuß, Professor Dietrich Morgenstern, and Sabine Döring. Philipps University, Marburg August 1995 Yurie A. Ignatieff
Contents Introduction... In the Flatland 2 Slave of Istvan Szabo 3 Truesdell... 4 Noll's Odyssey from Los Angeles to Pittsburgh 5 "Walter Noll, Our Teacher".......... 6 Mathematics Educator, Researcher and Professor, Walter Noll.... Picture Selection 7 Annihilators of Linear Differential Operators 8 Finite-Dimensional Spaces.... 9 Foundations ofrational Continuum Mechanics 99 9.1 First Axiomatic of Rational Continuum Mechanics 99 9.2 Second Axiomatic of Rational Continuum Mechanics 103 9.3 Third Axiomatic ofrational Continuum Mechanics 107 9.4 Walter Noll, Mario Bunge and a New Theory of Simple Materials... 111 9.5 Walter Noll's Second Theory ofsimple Materials 113 10 Rational Fluid Mechanics 119 11 Rational Elasticity... 131 12 Rational Thermomechanics 137 13 Neo-Classical Space-Time of Mechanics 157 3 21 25 33 37 75 91 95
x Contents 14 Inhomogeneities in Simple Bodies 15 Fit Regions and Contact Interactions 16 Foundations ofspecial Relativity Notes.... List ofworks ofwalter Noll Name Index. Subject Index 161 169 179 189 235 245 249