Felix Klein's early contributions to \textit{anschauliche Geometrie}

DOI10.1007/S00407-024-00329-1MaRDI QIDQ6562923

Could not fetch data.

Publication date: 27 June 2024

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Synthetic and analytic geometries in the publications of Jakob Steiner and Julius Plücker (1827--1829)
• Mathematical models as artefacts for research: Felix Klein and the case of Kummer surfaces
• The correspondence Richard Dedekind -- Heinrich Weber. Edited by Thomas Sonar, in cooperation with Karin Reich.
• ``Geometrical equations: forgotten premises of Felix Klein's \textit{Erlanger Programm}
• Alfred Clebsch's ``geometrical clothing of the theory of the quintic equation
• Anschauliche Geometrie.
• Poncelet's porism: a long story of renewed discoveries. I
• Zum 150. Geburtstag von Alfred Clebsch
• Topologische Typen reeller kubischer Flächen. (Topological types of real cubic surfaces)
• Poncelet's closure theorem
• Gesammelte mathematische Abhandlungen. Erster Band: Liniengeometrie. Grundlegung der Geometrie. Zum Erlanger Programm. Herausgegeben von R.~Fricke und A.~Ostrowski. (Von F.~Klein mit ergänzenden Zusätzen versehen.) Mit einem Bildnis Kleins.
• Hieronymus Georg Zeuthen.
• Lehrbuch der abzählenden Methoden der Geometrie.
• Die Idee der Riemannschen Fläche.
• Repertorium der höheren Mathematik. 2. völlig umgearbeitete Auflage der deutschen Ausgabe, herausgegeben von \textit{P. Epstein} und \textit{H. E. Timerding}. I. Analysis. Erste Hälfte: Algebra, Differential- und Integralrechnung.
• \textit{Kummer}'s quartic surface.
• Einleitung in die höhere Geometrie, I und II. Vorlesung gehalten im W. S. 1892/3 und S. S. 1893. Ausgearbeitet von F. Schilling.
• On Riemann surfaces with given branch points.
• Ueber die zu der Curve \(\lambda^3 \mu+\mu^3\nu+\nu^3\lambda=0\) im projectiven Sinne gehörende mehrfache Ueberdeckung der Ebene.
• Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade.
• On Riemann's theory of algebraic functions and their integrals.
• On singularities of plane algebraic curves and a new species of curves
• On the classification of surfaces of order three.
• On the behavior of Abelian integrals on curves of degree four. (2nd. article.)
• Theory of abelian functions of genus 3.
• On the course of the abelian integrals for curves of fourth degree.
• On the connectivity of surfaces.
• On the Multi holiness of plane algebraic curves.
• About those surfaces of degree three that contain three lines through a point
• About the use of elliptic functions on the geometry of third grade curves
• Remarks about the connectivity of surfaces.
• On the different shapes of curves of fourth order.
• The investigation of properties of a situation of cubic surfaces.
• On the Plücker's complex surface.
• Diverse kinds of complexes of the second degree.
• Quand' è che dalla superficie generale di terz' ordine si stacca una parte che non sia realmente segata da ogni piano reale?
• Comparative remarks about new geometric investigations
• On the application of quadratic substitutions to equations of degree five and the geometric theory of the plane pentagon.
• On the geometric interpretation of the higher transformations of bilinear forms and of quintic forms in particular.
• Treatise on permutations and algebraic equations.
• On a geometric representation of the resolvent of algebraic equations.
• On Plücker's models of certain quartic surfaces.
• A memoir on cubic surfaces
• On the double tangents of a fourth order curve
• The greatest geometer since the time of Apollonius
• Hidden harmony -- geometric fantasies. The rise of complex function theory
• On resolving singularities of plane curves via a theorem attributed to Alfred Clebsch
• Felix Klein's projective representations of the groups \(S_6\) and \(A_7\)
• Linear differential equations and group theory from Riemann to Poincaré.
• ``Are the \textit{genre} and the \textit{Geschlecht} one and the same number? An inquiry into Alfred Clebsch's \textit{Geschlecht}
• 3264 and all that. A second course in algebraic geometry
• Über die Doppeltangenten der Curven vierter Ordnung.
• Eigenschaften der Curven vierten Grades rücksichtlich ihrer Doppeltangenten.
• Über Determinanten und ihre Anwendung in der Geometrie, insbesondere auf Curven vierter Ordnung.
• Über Curven dritter Ordnung und die Kegelschnitte, welche diese Curven in drei verschiedenen Puncten berühren.
• Über die Wendepuncte der Curven dritter Ordnung. (Fortsetzung zu voriger Abhandlung).
• Über die Elimination der Variabeln aus drei algebraischen Gleichungen vom zweiten Grade mit zwei Variabeln.
• Mémoire sur les contacts multiples d'ordre quelconque des courbes de degré r, qui satisfont à des conditions données, avec une courbe fixe du degré m; suivi de quelques réflexions sur la solution d'un grand nombre des questions concernant les propriétés projectives des courbes et des surfaces algébriques.
• Ueber die Doppeltangenten an Curven vierter Ordnung.
• Ueber die Anzahl der willkürlichen Constanten in algebraischen Functionen.
• Ueber die Anwendung der Abelschen Functionen in der Geometrie.
• Bemerkung zu Jacobis Beweis für die Anzahl der Doppeltangenten.
• Ueber einen Satz von Steiner und einige Punkte der Theorie der Curven dritter Ordnung.
• Jacob Steiner.
• Theorie der Abel'schen Functionen.
• A Richer Picture of Mathematics
• Felix Klein
• Worlds Out of Nothing
• On the arrangement of the real branches of plane algebraic curves.
• On surfaces of third order.
• About a new kind of Riemannian surfaces.
• Zum Andenken an R. F. A. Clebsch.
• Julius Plücker -- a path from geometry to optics
• Felix Klein's teaching of Galois theory
• A German physicist’s travels in Great Britain Julius Plücker’s visits from 1853 to 1866
• On Felix Klein's early geometrical works, 1869--1872
• The geometer's gaze: on H. G. Zeuthen's holistic epistemology of mathematics

Related Items (2)

Felix Klein and Sophus Lie on quartic surfaces in line geometry ⋮ Galois's theory of ambiguity and its impacts

This page was built for publication: Felix Klein's early contributions to \textit{anschauliche Geometrie}

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6562923)