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A Student's Guide to Maxwell's Equations(麦克斯韦方程直观-英文版)
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2017-08-01
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这是一本难得的从直观角度讲解麦克斯韦方程的小书,篇幅短小,却透彻地讲述了麦克斯韦方程的思想以及相关的背景知识。读者只需不多的微积分知识,就可以毫无障碍地阅读这本书。
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A Student’s Guide to Maxwell’s Equations
Maxwell’s Equations are four of the most influential equations in science: Gauss’s
law for electric fields, Gauss’s law for magnetic fields, Faraday’s law, and the
Ampere–Maxwell law. In this guide for students, each equation is the subject of
an entire chapter, with detailed, plain-language explanations of the physical
meaning of each symbol in the equation, for both the integral and differential
forms. The final chapter shows how Maxwell’s Equations may be combined to
produce the wave equation, the basis for the electromagnetic theory of light.
This book is a wonderful resource for undergraduate and graduate courses in
electromagnetism and electromagnetics. A website hosted by the author, and
available through www.cambridge.org/9780521877619, contains interactive
solutions to every problem in the text. Entire solutions can be viewed
immediately, or a series of hints can be given to guide the student to the final
answer. The website also contains audio podcasts which walk students through
each chapter, pointing out important details and explaining key concepts.
daniel fleisch is Associate Professor in the Department of Physics at
Wittenberg University, Ohio. His research interests include radar cross-section
measurement, radar system analysis, and ground-penetrating radar. He is a
member of the American Physical Society (APS), the American Association of
Physics Teachers (AAPT), and the Institute of Electrical and Electronics
Engineers (IEEE).
A Student’s Guide to
Maxwell’s Equations
DANIEL FLEISCH
Wittenberg University
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
First published in print format
ISBN-13 978-0-521-87761-9
ISBN-13 978-0-511-39308-2
© D. Fleisch 2008
2008
Information on this title: www.cambridge.org/9780521877619
This publication is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written
p
ermission of Cambrid
g
e University Press.
Cambridge University Press has no responsibility for the persistence or accuracy of urls
for external or third-party internet websites referred to in this publication, and does not
g
uarantee that any content on such websites is, or will remain, accurate or a
pp
ro
p
riate.
Published in the United States of America by Cambridge University Press, New York
www.cambridge.org
eBook (EBL)
hardback
Contents
Preface page vii
Acknowledgments ix
1 Gauss’s law for electric fields 1
1.1 The integral form of Gauss’s law 1
The electric field 3
The dot product 6
The unit normal vector 7
The component of
~
E normal to a surface 8
The surface integral 9
The flux of a vector field 10
The electric flux through a closed surface 13
The enclosed charge 16
The permittivity of free space 18
Applying Gauss’s law (integral form) 20
1.2 The differential form of Gauss’s law 29
Nabla – the del operator 31
Del dot – the divergence 32
The divergence of the electric field 36
Applying Gauss’s law (differential form) 38
2 Gauss’s law for magnetic fields 43
2.1 The integral form of Gauss’s law 43
The magnetic field 45
The magnetic flux through a closed surface 48
Applying Gauss’s law (integral form) 50
2.2 The differential form of Gauss’s law 53
The divergence of the magnetic field 54
Applying Gauss’s law (differential form) 55
v
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资源评论
- pinquji34762017-10-11不错 挺清楚
- 路过_斌斌2017-11-02不错,不错,挺好的。就是分数有点高,哈哈
Moilk_nepho
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