Cover image for Generalized vector and dyadic analysis : applied mathematics in field theory
Title:
Generalized vector and dyadic analysis : applied mathematics in field theory
Personal Author:
Series:
IEEE/OUP series on electromagnetic wave theory
Edition:
2nd ed.
Publication Information:
New York, NY : IEEE Press, 1997
Physical Description:
xvi, 192 p. : ill. ; 24 cm.
ISBN:
9780780334137
Subject Term:
Added Corporate Author:

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30000010237102 QA433 T35 1997 Open Access Book Book
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Summary

Summary

Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most comprehensive book available on vector analysis founded upon the new method symbolic vector. GENERALIZED VECTOR AND DYADIC ANALYSIS presents a copious list of vector and dyadic identities, along with various forms of Green's theorems with derivations. In addition, this edition presents an historical study of the past mis-understandings and contradictions that have occurred in vector analysis presentations, furthering the reader's understanding of the subject.

Sponsored by:
IEEE Antennas and Propagation Society.


Author Notes

About the Author Chen-To Tai is Professor Emeritus at the University of Michigan, where he received the EKN Outstanding Faculty Award from the Department of Electrical Engineering and Computer Science in 1971 and 1977; the Tau-Beta-Pi Outstanding Faculty Award from the College of Engineering in 1974; and the Distinguished Achievement Award from the University in 1975. He also received the IEEE Centennial Award in 1984 and the Distinguished Achievement Award from the IEEE Antennas and Propagation Society in 1986. He is a Life Fellow of IEEE, and a member of the National Academy of Engineering of the United States of America.


Table of Contents

Preface to the Second Edition
Preface to the First Edition
Acknowledgments for the First Edition
Vector and Dyadic Algebra
Coordinate Systems
Line Integrals, Surface Integrals, and Volume Integrals
Vector Analysis in Space
Vector Analysis on Surface
Vector Analysis of Transport Theorems
Dyadic Analysis
A Historical Study of Vector Analysis
Appendix A Transformation Between Unit Vectors
Appendix B Vector and Dyadic Identities
Appendix C Integral Theorems
Appendix D Relationships Between Integral Theorems
Appendix E Vector Analysis in the Special Theory of Relativity
Appendix F Comparison of the Nomenclatures and Notations of the Quantities Used in This Book and in the Book by Stratton
References
Index