Vector Calculus 13th Edition by Vasishtha – Ebook PDF Instant Download/Delivery: 8182837960, 9788182837966
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Product details:
ISBN 10: 8182837960
ISBN 13: 9788182837966
Author: A.K. Vasishtha
Vector Calculus (13th Edition) by Vasishtha is a comprehensive textbook designed to guide students through the foundational and advanced concepts of vector calculus. Renowned for its clarity and structured approach, this edition offers an in-depth exploration of topics essential for mathematics, physics, and engineering students.
Vector Calculus 13th Table of contents:
1. Multiple Products
Scalar triple product
Vector triple product
Lagrange’s identity for four vectors.
Vector product of four vectors
Reciprocal system of vectors
2. Differentiation and Integration of Vectors
Vector function
Scalar fields and vector fields
Limit and continuity of a vector function
Derivative of a vector function with respect to a scalar
Differentiation formulae
Curves in space
Integration of vector functions
3. Gradient, Divergence and Curl
Partial derivatives of vectors
The vector differential operator del.
jal operator del. (V)
Gradient of a scalar field
Level surfaces
Directional derivative of a scalar point function
Tangent plane and normal to a level surface
Divergence of a vector point function
Curl of a vector point function
Important vector identities
4. Green’s, Gauss’s and Stoke’s Theorems
Line integrals
Surface integrals
Volume integrals
Green’s theorem in the plane
The Gauss’s divergence theorem
• Stoke’s theorem
Line integrals independent of path
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Vasishtha,Vector,Calculus