Vector & Tensor AnalysisAcademic Publishers |
Inhoudsopgave
CHAPTER | 3 |
of vectors 1 6 Position vector of a point 1 7 Linear Combination of | 19 |
CHAPTER | 45 |
of the angle between two straight lines 2 4 Vector equations of planes | 58 |
CHAPTER FOUR | 92 |
Product of Three and Four Vectors 113145 | 113 |
Triple Product 5 4 Illustrative solved examples on scalar triple product | 135 |
CHAPTER | 146 |
CHAPTER | 291 |
Line Surface and Volume Integrals 337370 | 337 |
6 Illustrative solved examples on circulation and conservative | 350 |
vector field 11 7 Surface Integrals 11 8 Illustrative solved examples | 365 |
Line Integral 12 3 Illustrative solved examples on Greens theorem | 379 |
Illustrative solved examples on Stokes theorem 12 6 Relation between | 394 |
Length Surface Area and Volume Element 13 4 Gradient Divergence | 407 |
CHAPTER FOURTEEN | 427 |
CHAPTER SEVEN | 186 |
CHAPTER EIGHT | 208 |
a force about a line 8 5 Motion of a particle and a rigid body | 223 |
CHAPTER NINE | 232 |
of Differentiation of sum and product of vector functions 9 5 Illustrative | 250 |
CHAPTER ELEVEN | 281 |
threedimensional Euclidean Space E3 14 3 Tensors of | 448 |
Riemannian Space Line Element and Metric Tensor 466479 | 466 |
CHAPTER SIXTEEN | 480 |
| 523 | |
Veelvoorkomende woorden en zinsdelen
a b c ABCD angle b₁ bisector Christoffel symbols collinear components contravariant vector coplanar cose covariant derivative covariant vector curvilinear coordinates differentiable scalar differentiable vector function divergence theorem dt dt dx dy F.dr F₁ F₂ Find force given grad Green's theorem h₂ Hence integral intersect line integral mixed tensor non-coplanar normal null vector orthogonal parallel parallelogram particle perpendicular plane position vector Prove respectively scalar function scalar point function scalar variable space curve sphere straight line surface tangent tensor of rank tensor of type Theorem triangle ABC unit vector vector area vector equation vector product velocity zero апр ах ди диз дл ду дх дхі