A Ludic Journey into Geometric Topology

Ton Marar is an Associate Professor at the Institute of Mathematics and Computer Sciences, University of Sao Paulo at Sao Carlos, Brazil. He holds a Master's degree (1983) in Mathematics (Geometry) from the same university, and a PhD (1989) from the University of Warwick, United Kingdom. His research fields include singularity theory and geometric topology or, more specifically, geometry and classification of singular surfaces and geometric aspects of singularities of maps.

Preface.- Mathematical Models.-  The Big Bang Theory of Ancient Greece.- Geometry: From disorder to order.- Topology.- Fourth dimension.- Non-orientable surfaces.- Hypersurfaces.

"Each section ends with a list of suggested reading ... . the text should be approachable to anyone who is at least moderately interested in mathematics. ... I think it would make a great source of entertaining supplemental reading for an undergraduate course related to geometry or topology." (Timothy Clark, MAA Reviews, March 29, 2024)

"This book is an excellent introduction to geometry and topology, for people who do not know much about these subjects. ... This book constitutes a very interesting reading for any advanced high-school pupil and for non-mathematicians. It should be also useful for university undergraduates. Geometers and topologists will also find it pleasant to skim, because of the historical remarks, the questions and relations that the author establishes between geometry and topology and the things of everyday life." (Athanase Papadopoulos, zbMATH 07555479, 2023)