A Theory of Branched Minimal Surfaces

From the reviews:

“The author provides a self-contained study of a theory of branched minimal surfaces. … The goal of the book is to study the question whether an area minimizing surface spanning a contour in three dimensional space is immersed or not, that is does its derivative have maximal rank everywhere. The exposition starts with some simple examples and continues with nicely presented proofs. The book can be useful for a graduate course or seminar.” (Themistocles M. Rassias, Zentralblatt MATH, Vol. 1247, 2012)