An Introduction to Vectors, Vector Operators and Vector Analysis

This book covers concepts of vectors and their applications for undergraduate and graduate students of science and engineering.

Pramod S. Joag (Author)

9781107154438, Cambridge University Press

Hardback, published 13 October 2016

544 pages
25 x 19 x 3 cm, 1.08 kg

Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.

List of figures
List of tables
Preface
Nomenclature
1. Getting concepts and gathering tools
2. Vectors and analytic geometry
3. Planar vectors and complex numbers
4. Linear operators
5. Eigenvalues and eigenvectors
6. Rotations and reflections
7. Transformation groups
8. Preliminaries
9. Vector valued functions of a scalar variable
10. Functions with vector arguments
11. Vector integration
12. Odds and ends
Appendices
Bibliography.

Subject Areas: Engineering: general [TBC], Physics [PH]