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

Based on the theme that topology is really the universal language of modern mathematics, Borges (mathematics, U. of California-Davis) introduces it to students

" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand e