rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Plane Algebraic Curves
    sub title: Translated by John Stillwell
  name:
    name part: Brieskorn, Egbert.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Knörrer, Horst.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 721 p. 301 illus. online resource.
  abstract: 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 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 author’s concern for the student audience through emphasis upon motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles; this text provides a foundation for the comprehension and exploration of modern work on singularities. --- 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).
  table of contents: I. History of algebraic curves -- 1. Origin and generation of curves -- 2. Synthetic and analytic geometry -- 3. The development of projective geometry -- II. Investigation of curves by elementary algebraic methods -- 4. Polynomials -- 5. Definition and elementary properties of plane algebraic curves -- 6. The intersection of plane curves -- 7. Some simple types of curves -- III. Investigation of curves by resolution of singularities -- 8. Local investigations -- 9. Global investigations -- Bibliography -- Index.
  note: by Egbert Brieskorn, Horst Knörrer.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Algebraic topology
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Algebraic Topology
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Modern Birkhäuser Classics
  identifier: 9783034804936
  identifier: http://dx.doi.org/10.1007/978-3-0348-0493-6
  record info:
    record creation date: 120824
    record change date: 20151204155859.0
    record identifier: 978-3-0348-0493-6