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.

About the Author

Pramod S. Joag is presently working as CSIR emeritus scientist at Savitribai Phule Pune University. He received his PhD from Savitribai Phule Pune University and has more than 30 years of teaching and research experience. He has been teaching courses including classical mechanics, quantum mechanics, electrodynamics, solid state physics and thermodynamics at undergraduate and graduate level. His areas of research include quantum information and more specifically quantification of quantum entanglement and quantum disorder. Joag has published more than 50 papers in national and international journals. His book Classical Mechanics is recommended in universities including Louisiana State University, Jawaharlal Nehru University and the University of Delhi.

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