Upper-level undergraduates and graduate students with a grasp of upper-division algebra and analysis will benefit from this three-part treatment, which begins with coverage of the essential elements of the exterior calculus together with a number of abbreviated applications. The second part deals with specific detailed applications of the exterior calculus, and the final part consists of in-depth studies of physical disciplines via the exterior calculus--classical and irreversible thermodynamics, electrodynamics with both electric and magnetic charges, and the modern theory of gauge fields.
Dominic G. B. Edelen (1933–2010) was Professor of Applied Mathematics at Lehigh University in Pennsylvania.