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Plane Algebraic Curves Translated By John Stillwell 1st Edition Egbert Brieskorn

  • SKU: BELL-2626992
Plane Algebraic Curves Translated By John Stillwell 1st Edition Egbert Brieskorn
$ 31.00 $ 45.00 (-31%)

4.8

104 reviews

Plane Algebraic Curves Translated By John Stillwell 1st Edition Egbert Brieskorn instant download after payment.

Publisher: Birkhäuser Basel
File Extension: PDF
File size: 63.38 MB
Pages: 721
Author: Egbert Brieskorn, Horst Knörrer (auth.)
ISBN: 9783034804929, 303480492X
Language: English
Year: 2012
Edition: 1

Product desciption

Plane Algebraic Curves Translated By John Stillwell 1st Edition Egbert Brieskorn by Egbert Brieskorn, Horst Knörrer (auth.) 9783034804929, 303480492X instant download after payment.

In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, “Plane Algebraic Curves” reflects the authorsʼ concern for the student audience through its emphasis on motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles. This text also provides a foundation for the comprehension and exploration of modern work on singularities.

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In the first chapter one finds many special curves with very attractive geometric presentations ‒ the wealth of illustrations is a distinctive characteristic of this book ‒ and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezout’s theorem and a detailed discussion of cubics. The heart of this book ‒ and how else could it be with the first author ‒ is the chapter on the resolution of singularities (always over the complex numbers). (…) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject.

(Mathematical Reviews)

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