Vector Calculus (1998. Corr. 3rd Printing 2000)

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.