Introduction to Vector Analysis

INTRODUCTION TO VECTOR ANALYSIS SEVENTH EDITION Harry F. Davis / Arthur Davis Snider ISBN: 0-697-16099-8 or 978-0-697-16099-7

This book, in its seventh edition, has always enjoyed a reputation for expository excellence. The text is both a learning manual as well as a reference manual. It is based on a dual geometric-analytic approach to each topic of discussion. The concepts and theorems are first visualized and understood heuristically, and then are reduced to an algebra-calculus framework for computation or mathematical scrutiny. The text is unique in its presentation of the Laplacian and the vector potential and can be used at several levels. The first four chapters constitute a compact one-semester introduction to the subject. Chapter five and the appendices address deeper topics in differential geometry, potential theory, physics, and engineering.

Chapter 1:   Vector Algebra Chapter 2:   Vector Functions of a Single Variable Chapter 3:   Scalar and Vector Fields Chapter 4:   Line, Surface and Volume Integrals Chapter 5:   Advanced Topics The Divergence Theorem Greens Formulas: Laplace's and Poisson's Equations The Fundamental Theorem of Vector Analysis Green's Theorem Stokes' Theorem The Transport Theorems Matrix Techniques in Vector Analysis Linear Orthogonal Transformations Appendix A:   Historical Notes Appendix B:   Two Theorems of Advanced Calculus Appendix C:   The Vector Equations of Classical Mechanics Appendix D:   The Vector Equations of Electromagnetism Appendix E:   Constrained Optimization