文档介绍：An Introduction to
Tensor Calculus,
Relativity and Cosmology
Third Edition
,Y
D. F. Lawden
Department ol Mathematics
The Unil'ersity (f Aston in Birminyham
•'I ~ "f.( "
1807~19ll2
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JOHN WILEY & SONS
Chichester' New York' Brisbane' Toronto' Singapore
First puhli.\hed 1962
hy Methuen & Co Ltd
Second edition 1968
Reprinted twice
First puhlished as a S,'ience Paperhack 1967
hy Chapman and Hall Ltd
II New Feller Lane, London EC4P 4EE
Reprinted 1975
(Cd 962, 1967, 1975 D. F. LllWden
Copyright « 1982 by John Wiley & Sons Ltd.
All rights reserved.
No part of this book may be reproduced by any means, nor
transmitted. nor translated into a machine language without the
written permission of the publisher.
Library oj ConKre",. ('utah'KinK in Publication Data:
Lawden, Oerek F.
An Introduction to tensor calculus. relativity and cosmology.- Jrd ed.
Rev. cd. of: An Introduction to tensor calculus and relativity. 2nd ed.
Bibliography: p.
Includes index.
I. Relativity (PhySICS) 2. Calculus of tensors. J. Cosmology. 1. Title
1982 5JOI'1 81 14801
ISBN 0471 HXl82 X (cloth) AACR2
ISBN 0471 IlXl96 X (paper)
Briti..h Library Catal"Kuing in Publication Data:
. D. F.
An introduction to tensor calculus, relatIvIty
lllld cO'll1ology. .lId cd.
I. RelatIvity (Physics)
2. Calculus of tcnsors
J. Cosmology-- Mathcmatics
1. Title
'1
ISBN 0471 10082 X (cloth)
ISBN 0471 10096 X (paper)
Typeset by Macmillan India Ltd, Bangalore, and printed in the United States of America,
by Vad-Ballou Press Inc. Binghamton, .
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Contents
Preface, .... , ix
List of Constants, , . , . xiii
Chapter I Special Principle of Relativity. Lorentz Transformations I
I. Ncwton's laws of motion ... , . I
2. Covariance of the laws of motion 3
3. Special principle of relativity . . . 4
4. Lorentz transformations. Minkowski space- time 6
5. The special