Multivariable Calculus: A Geometric Approach

For a one-semester sophomore-level course in multivariable calculus, for Engineering, Mathematics, or Science students. Reform ideas, traditional ideas, and original ideas are combined in this text that is designed to teach concepts and computations, especially intuitive ones about the geometry of 3 space. The core concepts of multivariable calculus are presented in a straightforward, but never simplistic language that will familiarize students with the thinking and speaking habits of mathematicians and ease their access to the mathematics of applications and higher mathematics courses.