Автор: Pramod S. Joad
Название: An Introduction to Vectors, Vector Operators and Vector Analysis
Издательство: Cambridge University Press
Год: 2016
ISBN: 9781107154438
Язык: English
Формат: pdf
Размер: 11 mb
Страниц: 544
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.
– Discusses fundamental concepts of vectors comprehensively and in an easy-to-understand manner
– Covers the entire gamut of vectors, including operators and analysis, in a single volume
– Covers important topics such as Space curves, Frenet–Seret formulae, inverse maps and implicit functions
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
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An Introduction to Vectors, Vector Operators and Vector Analysis 
