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Differential Forms in Electromagnetics replaces classical Gibbsian vector calculus with the mathematical formalism of differential forms. This book lowers the step from Gibbsian analysis to differential forms as much as possible by simplifying the notation and adding memory aids. Algebraic tools corresponding to the dyadics of Gibbsian analysis have long been missing from the formalism and they are now introduced to differential forms for the first time. By doing so, the book examines problems of general linear electromagnetic media of engineering interest instead of only simple vacuum problems, which is an area of intense interest for those involved in research on metamaterials.
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Differential Forms in Electromagnetics Ismo V. Lindell Helsinki University of Technology, Finland IEEE Antennas & Propagation Society, Sponsor IEEE PRESS A JOHN WILEY & SONS, INC., PUBLICATION Copyright © 2004 by the Institute of Electrical and Electronic Engineers. All rights reserved. Published simultaneously in Canada. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008. Limit of Liability/Disclaimer of Warranty: While the publisher and author have used th