This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in t

This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs o

Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t

This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications i