Gibbs's notation and the name "cross product" later reached a wide audience through Vector Analysis, a textbook by Edwin Bidwell Wilson, a former student.
Edwin Bidwell Wilson, American mathematician and pioneer in vector analysis
Physicists and mathematicians alike readily adopted it as their geometrical toolkit of choice, particularly following the influential 1901 textbook Vector Analysis by Edwin Bidwell Wilson, following lectures of Gibbs.
Edwin Bidwell Wilson & Gilbert N. Lewis (1912) "The space-time manifold of relativity. The non-Euclidean geometry of mechanics and electromagnetics", Proceedings of the American Academy of Arts and Sciences 48:387–507.
Vector calculus was developed from quaternion analysis by J. Willard Gibbs and Oliver Heaviside near the end of the 19th century, and most of the notation and terminology was established by Gibbs and Edwin Bidwell Wilson in their 1901 book, Vector Analysis.
Woodrow Wilson | Harold Wilson | Pete Wilson | Woodrow Wilson International Center for Scholars | Edwin Lutyens | Brian Wilson | Wilson | Edmund Wilson | Owen Wilson | James Wilson | Edwin Booth | Wilson Pickett | Teddy Wilson | Richard Wilson | William Julius Wilson | Paul Wilson | John Marius Wilson | Jackie Wilson | Cassandra Wilson | Steven Wilson | Gahan Wilson | Wilson Phillips | Carl Wilson | Richard Wilson (Scottish actor) | Mount Wilson Observatory | Mari Wilson | Julie Wilson | John Wilson | Jacqueline Wilson | Edwin M. Stanton |