Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and

This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prer

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology,