Integrating the three main areas of curve geometry - parametric, algebraic and projective curves - this volume offers an approach that provides a mathematical structure for solving problems, not just a catalogue of theorems. Almost entirely self-contained, the volume integrates the different types of curves, its use of analytic methods, and its examples, exercises and illustrations. The result is a practical work that seeks to impart a deeper understanding of the theory, as well as a heightened appreciation of geometry and interest in more advanced studies.

This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine...