Global Analysis: Differential Forms in Analysis, Geometry, and Physics

This text is based on graduate courses on analysis and differential geometry, covering the topic of differential forms from the perspective of analysis, differential geometry, and mathematical physics. Nine chapters explore differential and integral calculus for differential forms defined on open sets in Euclidean space, vector analysis on manifolds, Pfaffian systems, curves and surfaces in Euclidean 3-space, Lie groups and homogenous spaces, symplectic geometry and mechanics, elements of statistical mechanics and thermodynamics, and elements of electrodynamics. Originally published in German as Ilka Agricola und Thomas Friedrich: Globale Analysis (2001). Annotation c. Book News, Inc., Portland, OR (booknews.com)