Vector Calculus, Linear Algebra, and Differential Forms

Subjects

Description

A rigorous and geometric introduction to linear algebra, multivariable calculus, vector calculus, and differential forms. The book emphasizes understanding the underlying mathematical structures rather than simply applying formulas. It connects concepts such as vectors, linear transformations, derivatives, gradients, Jacobians, multiple integrals, and differential forms, showing how they fit together into a unified framework.