Hubbard and Hubbard's Vector Calculus is a great introduction to multivariable calculus and linear algebra that ends with an introduction to differential forms.

Hubbard and Hubbard's Vector Calculus is a great introduction to multivariable calculus and linear algebra that ends with an introduction to differential forms. And it has a complete solutions manual you can purchase as well. https://matrixeditions.com/5thUnifiedApproach.html https://matrixeditions.com/5thUnifiedApproach.html