Vector Algebra and Calculus

1. Definitions, Addition of Vectors, Multiplication of Vectors by Scalars 2. Centroid 3. Vector Equations of a Line and a Plane : Application in Geometry and Mechanics 4. Scalar Product of Two Vectors 5. Vector Product of Two Vectors 6. Multiple Products 7. Further Application of Vectors to Geometry and Mechanics 8. Differentiation of Vectors 9. Integration of Vectors 10. Differential Operators 11. Line Integrals, Gauss’s and Stoke’s Theorems

Hari Kishan is Senior Reader in Mathematics at Kishori Raman Postgraduate College, Mathura, affiliated to Dr. Bhim Rao Ambedkar University, Agra. He has 34 years of teaching experience of degree classes to his credit. He completed his M.Sc. from B.S.A. College, Mathura in 1971 and obtained a record percentage of marks for which he was awarded Gold Medal by Agra University. He received Ph.D. degree in Mathematics (Fluid Dynamics) in 1981 from the same university. His topic of research was Flow of Homogeneous or Stratified Viscous Fluids. He has got published numerous research papers in several mathematical journals of repute. Besides, he is a well-known author of a large number of books on Mathematics, including Trigonometry, Differential Calculus, Integral Calculus, Coordinate Geometry of Two Dimensions, Coordinate Geometry of Three Dimensions, Matrices, Modern Algebra, Theory of Equations, Dynamics, Statics, Hydro Statics, Real Analysis, Numerical Analysis and Sure Success in Convergence.