Surfaces in 4-Space

• 1 Diagrams of Knotted Surfaces.- 2 Constructions of Knotted Surfaces.- 3 Topological Invariants.- 4 Quandle Cocycle Invariants.- Epilogue.- Append.- References.

From the reviews: "The book ... is devoted to the theory of knotted surfaces in R4 and possesses all the important features of a book which promises to become a classic. ... The authors of the book are among the main founders of this theory and have contributed a great deal to its development. ... the book may serve as a good introduction for a more or less experienced reader into the beautiful world of knotted surfaces." Sergej V. Matveev, Mathematical Reviews, 2005e "The book treats the theory of knotting of surfaces in 4-space presenting up to date results and research ... . Each notion is precisely defined with a short historical account included. The results are gradually introduced, illustrated by examples, and original references are always cited. The reader is advised if a result has a higher dimensional counterpart. The book contains an exhaustive list of references and the index. It represents a nice, useful and reliable encyclopaedic presentation of the above mentioned subject ... ." Ivan Ivansic, Zentralblatt MATH, Vol. 1078, 2006