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)

• 1.Introduction.- 2.Higher order Derivatives of Dirichlets' Energy.- 3.Very Special Case; The Theorem for n + 1 Even and m + 1 Odd .- 4.The First Main Theorem; Non-Exceptional Branch Points.- 5.The Second Main Theorem: Exceptional Branch Points; The Condition k > l.- 6.Exceptional Branch Points Without The Condition k > l.- 7.New Brief Proofs of the Gulliver-Osserman-Royden Theorem .- 8.Boundary Branch Points.- Scholia.- Appendix.- Bibliography.​

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)

• 1.Introduction.- 2.Higher order Derivatives of Dirichlets' Energy.- 3.Very Special Case; The Theorem for n + 1 Even and m + 1 Odd .- 4.The First Main Theorem; Non-Exceptional Branch Points.- 5.The Second Main Theorem: Exceptional Branch Points; The Condition k > l.- 6.Exceptional Branch Points Without The Condition k > l.- 7.New Brief Proofs of the Gulliver-Osserman-Royden Theorem .- 8.Boundary Branch Points.- Scholia.- Appendix.- Bibliography.​

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)

• 1.Introduction.- 2.Higher order Derivatives of Dirichlets' Energy.- 3.Very Special Case; The Theorem for n + 1 Even and m + 1 Odd .- 4.The First Main Theorem; Non-Exceptional Branch Points.- 5.The Second Main Theorem: Exceptional Branch Points; The Condition k > l.- 6.Exceptional Branch Points Without The Condition k > l.- 7.New Brief Proofs of the Gulliver-Osserman-Royden Theorem .- 8.Boundary Branch Points.- Scholia.- Appendix.- Bibliography.​