General Vector and Dyadic Analysis: Applied Mathematics in Field Theory / Edition 2

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More About This Textbook

Overview

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.

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Editorial Reviews

Booknews
Part of a series on electromagnetic wave theory, this volume probes the new method of symbolic vector analysis for advanced undergraduate and graduate students in fields pivoting on electromagnetic theory and hydrodynamics. Tai (U. Of Michigan) presents all angles of vector analysis with derivations of theorems and identities: historical, dyadic algebra, coordinate systems, transport theorems, dyadic, and vector analysis in space and on a surface. Appendixes elaborate further upon transformation between unit vectors, vector and dyadic identities, integral theorems, vector analysis in the Special Theory of Relativity, and a comparison of nomenclature and notations for quantities used by Tai and Stratton. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

Meet the Author

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.

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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.

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