Matrix Editions
serious mathematics,
written with the reader in mind

Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach

3rd edition (out of print)

ISBN 9780971576636
802 pages, hardcover, smythe-sewn binding
June 2007

See the current, 5th edition

Sections added to the 3rd edition

book cover, Vector Calculus 3rd edition Eigenvectors and eigenvalues: Section 2.7 on eigenvectors, eigenvalues, and diagonalization bypasses the determinant; a few pages in Chapter 4 connect this discussion with determinants and the characteristic function.

Integration and curvature: Section 5.4 discusses the Gauss map.

Electromagnetism and differential forms (Section 6.9)

Other changes compared to the 2nd edition: