If you want to learn about the amazing subject of math, topology and its real-life applications; I would suggest Introduction to Topology book. The book achieves to provide all essential theories like knots, dynamical systems, chaotic systems, spaces, compact and connected spaces, topological transformations. Besides, the reader can learn where the topology theories are applied. It includes explaining cosmology with topological models, computerized graphics, DNA structure and more.

More detailed review on Topology Book here.