Ramified Surfaces (eBook)

On Branch Curves and Algebraic Geometry in the 20th Century
eBook Download: PDF
2022 | 1st ed. 2022
IX, 252 Seiten
Springer International Publishing (Verlag)
978-3-031-05720-5 (ISBN)

Lese- und Medienproben

Ramified Surfaces - Michael Friedman
Systemvoraussetzungen
58,84 inkl. MwSt
  • Download sofort lieferbar
  • Zahlungsarten anzeigen

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.



Michael Friedman is a historian of mathematics and a senior lecturer at the Tel Aviv University. The focus of his research is how material, visual and symbolical knowledge and practices in mathematics interact with each other. More specifically, his research examines how material practices (folding, weaving, braiding, knotting, as well as three-dimensional models) prompt symbolical mathematical knowledge. Recent publications: A History of Folding in Mathematics. Mathematizing the Margins (Birkhäuser, 2018).

Erscheint lt. Verlag 26.9.2022
Reihe/Serie Frontiers in the History of Science
Frontiers in the History of Science
Zusatzinfo IX, 252 p. 41 illus., 6 illus. in color.
Sprache englisch
Themenwelt Geisteswissenschaften Geschichte
Mathematik / Informatik Mathematik Allgemeines / Lexika
Schlagworte Algebraic Geometry • Braid Monodromy • Braid theory • Branch and ramification curve • Dynamics of a mathematical object • The Italian school of algebraic geometry
ISBN-10 3-031-05720-1 / 3031057201
ISBN-13 978-3-031-05720-5 / 9783031057205
Haben Sie eine Frage zum Produkt?
PDFPDF (Wasserzeichen)
Größe: 5,7 MB

DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasser­zeichen und ist damit für Sie persona­lisiert. Bei einer missbräuch­lichen Weiter­gabe des eBooks an Dritte ist eine Rück­ver­folgung an die Quelle möglich.

Dateiformat: PDF (Portable Document Format)
Mit einem festen Seiten­layout eignet sich die PDF besonders für Fach­bücher mit Spalten, Tabellen und Abbild­ungen. Eine PDF kann auf fast allen Geräten ange­zeigt werden, ist aber für kleine Displays (Smart­phone, eReader) nur einge­schränkt geeignet.

Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.

Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.

Mehr entdecken
aus dem Bereich