Vector Calculus

Book Details:

• Book Title: Linear Algebra, Vector Analysis, and Calculus of Functions of Several Variables

• Author: Peter Baxandall

• Binding: Paperback

• Edition: Illustrated

• ISBN: 9780486466200

• Number of Pages: 560

• Release Date: 24-07-2008

• Language: English

About the Book:

Linear Algebra, Vector Analysis, and Calculus of Functions of Several Variables presents a comprehensive introduction to the interconnectedness of these three fundamental mathematical areas. The book carefully explores their relationships and provides a rigorous treatment of each subject. Aimed at students with knowledge of elementary linear algebra and single-variable calculus, this textbook is both a valuable resource for undergraduate study and an excellent reference for those pursuing more advanced topics.

The text covers classical vector calculus theorems, including the inverse and implicit function theorems, and provides detailed proofs for each. It emphasizes understanding the connections between various parametrizations of curves and surfaces and discusses their applications in line and surface integrals. Additionally, the book includes worked examples, physical applications, and numerous exercises—ranging from basic calculations to more theoretical problems—to help solidify concepts and encourage further learning.

Key Features:

• Comprehensive treatment of linear algebra, vector analysis, and multivariable calculus.

• Detailed proofs of classical theorems of vector calculus.

• Emphasizes the relationships between parametrizations of curves and surfaces.

• Numerous exercises with hints and answers.

• Clear illustrations and physical applications to enhance understanding.