The book is primarily about the topological data structure for continuous surfaces called surface network. However, two other significant related data structures called Reeb graphs and contour trees are also included to broaden the scope of the book. The book is divided into two parts. The first part contains chapters that define the topological surface data structures and explain the various automated methods for generating these data structures. The second part demonstrates a number of applications of surface networks in diverse fields ranging from sub-atomic particle collision visualisation to the study of population density patterns. Most of the chapters in the book are based on previously established prominent research works on surface networks