Vector Calculus Book

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 available for reference but positioned so as to not interfere with the main flow of ideas. *Supplies some gentle suggestions regarding problems benefiting from or requiring a computer algebra system or visualization software. *Includes several important pedagogical features: - Key results and items are set off clearly from supporting discussions. - Many fully worked examples that are integral to the text. These examples are used both to motivate and explicate the main ideas and techniques. - More than 1000 exercises, from routine reinforcement of basic definitions, computations, and results, to more challenging conceptual questions.Read More