Mathematics Books Topology BooksDifferential Topology Books

Introduction to Differential Topology by Uwe Kaiser

Introduction to Differential Topology by Uwe Kaiser

Introduction to Differential Topology by Uwe Kaiser

This book gives a deeper account of basic ideas of differential topology than usual in introductory texts. Also many more examples of manifolds like matrix groups and Grassmannians are worked out in detail. Topics covered includes: Continuity, compactness and connectedness, Smooth manifolds and maps, Regular values and Sards theorem, Manifolds with boundary and orientations, Smooth homotopy and vector bundles, Intersection numbers, vector fields and Euler characteristic.

Author(s):

s110 Pages
Similar Books
Differential     Topology by Andrew Kobin

Differential Topology by Andrew Kobin

This note covers Smooth manifolds, Regular values, Transversality and embeddings, Vector bundles.

s52 Pages
Topics   in Differential Topology by Mohammad F Tehrani

Topics in Differential Topology by Mohammad F Tehrani

This note explains the following topics: preliminaries, Different homology theories and their interaction, Classifying spaces, An introduction to symplectic topology.

s104 Pages
Introduction   to Differential Topology by Uwe Kaiser

Introduction to Differential Topology by Uwe Kaiser

This book gives a deeper account of basic ideas of differential topology than usual in introductory texts. Also many more examples of manifolds like matrix groups and Grassmannians are worked out in detail. Topics covered includes: Continuity, compactness and connectedness, Smooth manifolds and maps, Regular values and Sards theorem, Manifolds with boundary and orientations, Smooth homotopy and vector bundles, Intersection numbers, vector fields and Euler characteristic.

s110 Pages
Introduction To Differential Topology

Introduction To Differential Topology

The first half of the book deals with degree theory, the Pontryagin construction, intersection theory, and Lefschetz numbers. The second half of the book is devoted to differential forms and deRham cohomology.

s306 Pages