Using Rotation Matrices to Get ∇f and ∇• F in Cylindrical and Spherical Coordinates

We show that the correct expressions for the gradient and divergence differential operators in cylindrical and spherical coordinates can be derived using rotation matrices. The method is intuitive and less strenuous than what is usually found in calculus textbooks.

Bibliographische Detailangaben

Veröffentlicht in:	Mathematics magazine 2022-04, Vol.95 (2), p.137
Hauptverfasser:	Lima, Fábio M S, Jordão, Pedro G F
Format:	Magazinearticle
Sprache:	eng
Schlagworte:	Algebra Calculus Cylindrical coordinates Differential equations Mathematical models Matrix Operators (mathematics) Rotation Spherical coordinates
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!