Multivariable and Vector Calculus

Description

This carefully-designed book covers multivariable and vector calculus, and is appropriate either as a text of a one-semester course, or for self-study. It includes many worked-through exercises, with answers to many of the basic computational ones and hints to many of those that are more involved, as well as lots of diagrams which illustrate the various theoretical concepts. A detailed presentation of multivariable and vector calculus, ideal as course material or for self study Includes many exercises and diagrams Of interest to students and lecturers alike Foreword Notes to the reader Contents 1. Introduction/Background 2. Vector functions 3. Multivariable derivatives—differentiation in ℝn 4. Implications of multivariable derivatives 5. Multiple integrals-integration in ℝn 6. Vector fields and vector calculus Bibliography Index