By Egbert Brieskorn
In an in depth and finished advent to the idea of airplane algebraic curves, the authors study this classical zone of arithmetic that either figured prominently in old Greek reports and continues to be a resource of idea and a topic of analysis to this present day. bobbing up from notes for a direction given on the college of Bonn in Germany, “Plane Algebraic Curves” displays the authorsʼ hindrance for the coed viewers via its emphasis on motivation, improvement of mind's eye, and realizing of simple principles. As classical items, curves could be considered from many angles. this article additionally presents a beginning for the comprehension and exploration of recent paintings on singularities.
In the 1st bankruptcy one reveals many unique curves with very beautiful geometric shows ‒ the wealth of illustrations is a particular attribute of this e-book ‒ and an advent to projective geometry (over the complicated numbers). within the moment bankruptcy one unearths a very easy evidence of Bezout’s theorem and an in depth dialogue of cubics. the center of this ebook ‒ and the way else may possibly it's with the 1st writer ‒ is the bankruptcy at the solution of singularities (always over the complicated numbers). (…) in particular outstanding is the outlook to extra paintings at the issues mentioned, with various references to the literature. Many examples around off this profitable illustration of a classical and but nonetheless greatly alive topic.