The Mathematical Structure of Classical and Relativistic Physics A G
The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theo
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Enzo Tonti
The Mathematical Structure of Classical and Relativistic Physics A General Classification Diagram
Modeling and Simulation in Science, Engineering and Technology
Series Editor Nicola Bellomo Politecnico di Torino Torino, Italy Editorial Advisory Board K.J. Bathe Department of Mechanical Engineering Massachusetts Institute of Technology Cambridge, MA, USA M. Chaplain Division of Mathematics University of Dundee Dundee, Scotland, UK P. Degond Institut de Mathématiques de Toulouse CNRS and Université Paul Sabatier Toulouse, France A. Deutsch Center for Information Services and High-Performance Computing Technische Universität Dresden Dresden, Germany M.A. Herrero Departamento de Matematica Aplicada Universidad Complutense de Madrid Madrid, Spain
For further volumes: http://www.springer.com/series/4960
P. Koumoutsakos Computational Science & Engineering Laboratory ETH Zürich Zürich, Switzerland H.G. Othmer Department of Mathematics University of Minnesota Minneapolis, MN, USA K.R. Rajagopal Department of Mechanical Engineering Texas A&M University College Station, TX, USA T.E. Tezduyar Department of Mechanical Engineering & Materials Science Rice University Houston, TX, USA A. Tosin Istituto per le Applicazioni del Calcolo “M. Picone” Consiglio Nazionale delle Ricerche Roma, Italy
Enzo Tonti
The Mathematical Structure of Classical and Relativistic Physics A General Classification Diagram
Enzo Tonti Department of Engineering and Architecture University of Trieste Trieste, Italy
ISSN 2164-3679 ISSN 2164-3725 (electronic) ISBN 978-1-4614-7421-0 ISBN 978-1-4614-7422-7 (eBook) DOI 10.1007/978-1-4614-7422-7 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013939031 Mathematics Subject Classification (2010): 55-XX, 57-XX, 68-XX, 70-XX, 74-XX, 76-XX, 78-XX, 80-XX, 83-XX © Springer Science+Business Media New York 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, servi
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