![Vector Algebra and Vector Calculus] authored by Ram Krishna Ghosh and Kantish Chandra Maity. (NCBA)](https://i0.wp.com/booksbp.com/wp-content/uploads/2026/08/WhatsApp-Image-2026-08-24-at-7.07.51-PM.jpeg?fit=567%2C765&ssl=1 "Vector algebra and vector calculus] authored by ram krishna ghosh and kantish chandra maity. (ncba) 1")
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A First Course on Operations Research and Information Theory by Sanat Kumar Mazumder, published by New Central Book
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Vector Algebra:-
- Scalars and Vectors: Foundational definitions, free and localized vectors, and vector representations.
- Vector Products: Geometric and algebraic properties of scalar (dot) products and vector (cross) products.
- Triple and Higher Products: Scalar triple products, vector triple products, and products involving four or more vectors.
- Linear Combinations: Linearly dependent and independent systems of vectors.
- Applications: Solving vector equations and applying elementary operations to geometry and particle dynamics.
Vector Calculus:-
- Vector Differentiation: Limits, continuity, and derivatives of vector-valued functions with respect to a scalar variable.
- Differential Operators: Detailed studies of Gradient, Divergence, and Curl operations on scalar and vector fields.
- Vector Integration: Line integrals, surface integrals, and volume integrals.
- Integral Theorems: Core transformations including Gauss’s Divergence Theorem, Green’s Theorem in a plane, and Stokes’s Theorem.
- Mechanics Extensions: Basic analytical applications toward the dynamics of a particle and rigid bodies.
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