Vector calculus

A traditional and accessible calculus text with a strong conceptual and geometric slant that assumes a background in single - variable calculus. The text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. It is designed to provide a greater challenge than the multivariable material typically found in the last four or five chapters of a three-semester calculus text. This challenge is balanced by clear and expansive writing and an interesting selection of material. Each chapter ends with a section of Miscellaneous Exercises. *Uses vector and matrix notation, particularly for differential topics, to foster a more general discussion and clarify the analogy between concepts in single- and multivariable calculus. *Presents an optional, very lucid treatment of differential forms. *Presents a variety of topics not usually found in a text at this level offering flexibility for students and instructors. *Incorporates more than 500 diagrams and figures that connect analytic work to geometry and assist with visualization. *Provides some emphasis on mathematical rigor, but presents more technical derivations at the ends of sections. Proofs are av