The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
In a distinguished scientific life that had spanned over five decades, Alladi Ramakrishnan made significant contributions to probability and statistics, elementary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of re
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The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
Krishnaswami Alladi Calyampudi R. Rao
John R. Klauder
Editors
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
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Editors Krishnaswami Alladi Department of Mathematics University of Florida Gainesville, FL 32611, USA [email protected]
Calyampudi R. Rao Department of Statistics The Pennsylvania State University University Park, PA 16802, USA [email protected]
John R. Klauder Department of Physics University of Florida Gainesville, FL 32611, USA [email protected]
ISBN 978-1-4419-6262-1 e-ISBN 978-1-4419-6263-8 DOI 10.1007/978-1-4419-6263-8 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010932321 Mathematics Subject Classification (2010): 11-XX, 81-XX, 83-XX, 60-XX c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. 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. Cover illustration: Photo of Alladi Ramakrishnan courtesy of Krishnaswami Alladi. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Alladi Ramakrishnan (1923–2008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics. Professor Ramakrishnan made significant contributions to probability and statistics, elementary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Ramakrishnan believed strongly that in addition to doing fundamental research, one must contribute to the advancement of the profession. Inspired by his visit to the Institute for Advanced Study in Princeton in 1957–1958, he returned to Madras and began the Theoretical Physics Seminar at his family home Ekamra Nivas. These seminars were ultimately responsible for the creation of MATSCIENCE, The Institute of Mathematical Sciences in 1962. This institute, of which he was the Director for its first 21 years, has grown steadily in size and stature, and is his monumental contribution to the profession. In a distinguished scientific life that has spanned more than five decades, Professor Ramakrishnan has come into close contact with, and was influenced by, several eminent mathematicians and physicists, and has moulded the careers of his several students and young researchers. This volume, which is a tribute to his great legacy, not only deals with his significan
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