## Multivariable CalculusThis book blends much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. Readers benefit from an innovative pedagogy and a superb range of problems. Modeling is a major theme -- qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific, and social models. This book emphasizes writing in addition to algebra. This book thoroughly addresses topics such as Infinite Series, Polar Coordinates and Parametric Forms, Vectors in the Plane and in Space, Vector-Valued Functions, Partial Differentiation, Multiple Integration, Introduction to Vector Analysis, and Introduction to Differential Equations. Suitable for professionals in engineering, science, and math. |

### Other editions - View all

### Common terms and phrases

acceleration angle C₁ C₂ calculus center of mass chain rule component compute constant continuous cross product curl F curvature cylinder defined density differential equation directional derivative distance div F divergence theorem dot product double integral dt dt dx dy dy dx Evaluate EXAMPLE f(xo field F Find the volume force formula function f given in Problems graph Green's theorem intersection lamina Let f(x level curve lim f(x limit line integral linear mathematics maximum MODELING PROBLEM normal vector orthogonal paraboloid parallel parametric partial derivatives path projectile Proof R₁ radius region D Section Show shown in Figure solid Solution speed Suppose surface area surface integral tangent plane tangent vector triangle triple integral unit vector VaČ vector field vector function velocity vertices xy-plane y₁ yz-plane ди дх ду მა