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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Ramified Surfaces

- On Branch Curves and Algebraic Geometry in the 20th Century
Af: Michael Friedman Engelsk Paperback

Ramified Surfaces

- On Branch Curves and Algebraic Geometry in the 20th Century
Af: Michael Friedman Engelsk Paperback
Tjek vores konkurrenters priser

The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon''s program of braid monodromy factorization.

By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods.

Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

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The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon''s program of braid monodromy factorization.

By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods.

Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 252
ISBN-13: 9783031057199
Indbinding: Paperback
Udgave:
ISBN-10: 3031057198
Kategori: Algebraisk geometri
Udg. Dato: 28 sep 2022
Længde: 0mm
Bredde: 168mm
Højde: 240mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 28 sep 2022
Forfatter(e): Michael Friedman
Forfatter(e) Michael Friedman

Kategori Algebraisk geometri

ISBN-13 9783031057199

Sprog Engelsk

Indbinding Paperback

Sider 252

Udgave

Længde 0mm

Bredde 168mm

Højde 240mm

Udg. Dato 28 sep 2022

Oplagsdato 28 sep 2022

Forlag Birkhauser Verlag AG

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