Vector calculus is the foundation stone on which a vast amount of
mathematical physics is based (for example, fluid dynamics, solid
mechanics and general relativity all involve a description of vector and
scalar quantities in three dimensions) so it is important that students
have a thorough grasp of it before moving on to more advanced areas of
mathematics. Most books are aimed at engineering applications: this book
focuses on the underlying mathematical structure of the subject and is
aimed at first and second year undergraduate mathematic students.