TY - BOOK AU - Shaw byrnie james TI - Vector Calculus SN - 9789355280190 U1 - 515 PY - 2023/// CY - Chennai PB - MJP Publisher KW - Vector Algebra KW - Vectors and Scalars KW - Vector Addition and Subtraction KW - Dot Product (Scalar Product) KW - Cross Product (Vector Product) N1 - Introduction to Vectors Definition of vectors and scalars Geometrical interpretation of vectors Vector addition and subtraction Components of a vector in different coordinate systems 2. Vector Algebra Dot product (scalar product) Cross product (vector product) Triple products and their properties Applications of vector algebra in geometry and physics 3. Differential Calculus of Vectors Differentiation of vectors with respect to scalar variables Gradient of scalar functions Divergence and curl of vector fields Physical interpretations of gradient, divergence, and curl N2 - Vector Calculus by James Byrnie Shaw is a classic textbook that introduces the fundamental concepts of vector algebra and calculus, emphasizing their practical applications in physics. The book serves as a bridge between abstract mathematical theory and real-world physical problems, making it valuable for students and professionals in physics, engineering, and applied mathematics. Shaw begins with the basics of vectors, including their algebraic operations and geometric interpretations. He then develops the tools of vector calculus—differentiation and integration of vector fields—introducing key concepts like gradient, divergence, and curl. Integral theorems such as Gauss’s divergence theorem and Stokes’s theorem are carefully explained and applied ER -