Description

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.

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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.