Dynamical Systems on Surfaces (Universitext)

Pbk, 201 p. Some minor foxing to edges, previous owner's name on ffep o/w a clean unmarked copy in very good condition. Contents : I. Vector Fields on Manifolds -- 1. Integration of vector fields -- 2. General theory of orbits -- 3. Invariant and minimal sets -- 4. Limit sets -- 5. Direction fields -- A. Vector fields and isotopies -- II. The Local Behaviour of Vector Fields -- 1. Stability and conjugation -- 2. Linear differential equations -- 3. Linear differential equations with constant coefficients -- 4. Linear differential equations with periodic coefficients -- 5. Variation field of a vector field -- 6. Behaviour near a singular point -- 7. Behaviour near a periodic orbit -- A. Conjugation of contractions in R -- III. Planar Vector Fields -- 1. Limit sets in the plane -- 2. Periodic orbits -- 3. Singular points -- 4. The Poincaré index -- 5. Planar direction fields -- 6. Direction, fields on cylinders and Moebius strips -- A. Singular generic foliations of a disc -- IV. Direction Fields on the Torus and Homeomorphisms of the Circle -- 1. Direction fields on the torus -- 2. Direction fields on a Klein bottle -- 3. Homeomorphisms of the circle without periodic point -- 4. Rotation number of Poincaré -- 5. Conjugation of circle homeomorphisms to rotations -- A. Homeomorphism groups of an interval -- B. Homeomorphism groups of the circle -- V. Vector Fields on Surfaces -- 1. Classification of compact surfaces -- 2. Vector fields on surfaces -- 3. The index theorem -- A. Elements of differential geometry of surfaces. [Numerical Analysis - Differentiable dynamical systems - Foliations (Mathematics)] w79 / m16586. …