Multivariable Calculus With Vectors

Presents a conceptual underpinning for multivariable calculus that is as natural and intuitively simple as possible. This book focuses on modeling physical phenomena, especially from physics and engineering, and on developing geometric intuition. Geometric intuition is particularly stressed. The synthetic, coordinate-free geometries of 2- and 3-dimensional Euclidean spaces (E^2 and E^3) have a primary role. Wherever possible, coordinate-free definitions are used