Vector CalculusKrishna Prakashan Media, 1976 |
Contents
CHAPTER | 1 |
Velocity and acceleration | 12 |
Integration of vector functions | 22 |
12 | 28 |
Important vector identities | 56 |
Invariance | 72 |
4 | 78 |
7 | 101 |
9 | 113 |
Line integrals independent of path | 152 |
Physical interpretation of div and curl | 166 |
Common terms and phrases
Agra Allahabad Bombay circle closed curve closed surface constant vector cos² curl F curl F-n curl grad d³r defined directional derivative divergence theorem dr dr dr dt dt dr dt dt dt dx dy dz Evaluate F-dr F.dr F•dr F₁ F₂ field F Find Fon dS Green's theorem Hence irrotational Kanpur Let f level surface line integral Meerut parametric equations particle piecewise smooth position vector Proof Prove that curl Prove that div r=xi+yj+zk region bounded Rohilkhand S₁ scalar field scalar function scalar point function scalar variable simple closed sin² sin³ Solution sphere Stoke's theorem Suppose surface integral tangent plane unit vector vector field vector function vector normal vector point function Verify Stoke's theorem whence xy-plane δε ав дф дф дх дх Эф მო