Introduction to global analysis

Donald W. Kahn0123940508, 9780123940506, 9780080874074

Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation and integration, it explores infinite-dimensional manifolds, Morse theory, Lie groups, dynamical systems, and the roles of singularities and catastrophes. 1980 edition.