A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically wit

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homol

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmolo

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, wo