Applied Exterior Calculus (Dover Books on Mathematics)

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.