Fields Medal-winning mathematician John Milnor's classic treatment of singular points of complex hypersurfacesOne of the greatest mathematicians of the twentieth century, John Milnor has made fundamental discoveries in diverse areas of mathematics, from topology and dynamical systems to algebraic K -theory. He is renowned as a master of mathematical exposition and his many books have become standard references in the field. Singular Points of Complex Hypersurfaces provides an incisive and authoritative study of the local behavior of a complex hypersurface V in Euclidean space at a singularity Z 0.Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition into the twenty-first century as Princeton looks forward to publishing the major works of the new millennium.
I feel like you have to sit down and go through this book sooner or later. It's not even a hard book if you're already familiar with the basics of algebraic geometry/topology, and it's not long either.
Of course, if you're reading it, you're probably trying to get your head around the original concept of Milnor fibres and the Milnor number. It is what the book is about, after all, but it's also what it's made it age so well: he knows you're here for the Milnor fibration.
I would give it a 5-star only on how straightfoward it is and how easy it is to read, but I spent too long trying to understand one of the concepts he brings to the table in relation to the cup product...