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Ebene algebraische Kurven

Parametri

  • 964pagine
  • 34 ore di lettura

Maggiori informazioni sul libro

In a comprehensive introduction to the theory of plane algebraic curves, the authors explore this classical area of mathematics, which has roots in ancient Greek studies and continues to inspire research today. Originating from course notes at the University of Bonn, the text emphasizes motivation, imagination, and understanding for students. Curves, as classical objects, are examined from various perspectives, providing a foundation for modern explorations of singularities. The first chapter features many special curves with appealing geometric presentations, complemented by a wealth of illustrations. It also introduces projective geometry over the complex numbers. The second chapter presents a straightforward proof of Bezout’s theorem alongside an in-depth discussion of cubics. Central to the text is the chapter on the resolution of singularities, focusing on complex numbers. Notably, the book offers insights into further research on the topics covered, with numerous references to the literature. A variety of examples enriches this successful representation of a classical yet vibrant subject.

Acquisto del libro

Ebene algebraische Kurven, Egbert Brieskorn, Horst Knörrer

Lingua
Pubblicato
1981
Rilegatura
(Copertina rigida),
Condizioni del libro
In buone condizioni
Prezzo
99,99 €

Metodi di pagamento

Titolo
Ebene algebraische Kurven
Lingua
Tedesco
Pubblicato
1981
Formato
Copertina rigida
Pagine
964
ISBN10
3764330309
ISBN13
9783764330309
Serie
Tag
Descrizione
In a comprehensive introduction to the theory of plane algebraic curves, the authors explore this classical area of mathematics, which has roots in ancient Greek studies and continues to inspire research today. Originating from course notes at the University of Bonn, the text emphasizes motivation, imagination, and understanding for students. Curves, as classical objects, are examined from various perspectives, providing a foundation for modern explorations of singularities. The first chapter features many special curves with appealing geometric presentations, complemented by a wealth of illustrations. It also introduces projective geometry over the complex numbers. The second chapter presents a straightforward proof of Bezout’s theorem alongside an in-depth discussion of cubics. Central to the text is the chapter on the resolution of singularities, focusing on complex numbers. Notably, the book offers insights into further research on the topics covered, with numerous references to the literature. A variety of examples enriches this successful representation of a classical yet vibrant subject.