Vector AnalysisUsing the same innovative and proven approach that made the authors' Engineering Mathematics a worldwide bestseller, this book can be used in the classroom or as an in-depth self-study guide. Its unique programmed approach patiently presents the mathematics in a step-by-step fashion together with a wealth of worked examples and exercises. It also contains Quizzes, Learning Outcomes, and Can You? checklists that guide readers through each topic and reinforce learning and comprehension. Both students and professionals alike will find this book a very effective learning tool and reference.
|
Contents
Learning outcomes | 25 |
Change of variables | 37 |
Program 3 | 57 |
Review summary | 76 |
Double integrals | 84 |
Triple integrals | 86 |
Alternative notation | 93 |
Determination of volumes by multiple integrals | 99 |
Review summary | 225 |
Differentiation of vectors | 231 |
Partial differentiation of vectors | 238 |
Summary of grad div and curl | 254 |
Can You? Checklist 8 | 260 |
Vector integration | 263 |
Volume integrals | 271 |
Conservative vector fields | 284 |
Can You? Checklist 4 | 105 |
Area enclosed by a closed curve | 115 |
Greens theorem in the plane | 138 |
Review summary | 145 |
Surface and volume integrals | 151 |
Element of volume in space in the three coordinate systems | 167 |
Curvilinear coordinates | 179 |
Can You? Checklist 6 | 191 |
Vector representation | 197 |
Vectors in space | 207 |
Angle between two vectors | 215 |
Other editions - View all
Common terms and phrases
a2z a2z ax ay c₁ Cartesian coordinates closed curve constant cos² curl F curvilinear coordinates cylindrical coordinates defined determine diagram direction cosines div F div FdV divergence theorem double integral dx dy dz dy dx Evaluate exact differential Example expression Ər Ər Əz Əz F.dr field F Find the area Frame function Further problems Green's theorem i+ j+ line integral octant orthogonal parametric equations partial derivatives path of integration Pdx+Qdy polar curves Program radius result scalar field sin² spherical coordinates Test exercise triple product unit normal unit vectors variables vector field x-y plane x²y δε δι δν δχ δω θα ӘР Әф ди ди ду дг ду дл ду ду дх ду Эх ду მ მ მ მი მი