Geometry

Autori

• Felix Klein

Parametri

• Libri di testo
• Libri di testo di matematica

Maggiori informazioni sul libro

These three volumes represent the first complete English translation of Felix Klein’s influential series “Elementarmathematik vom höheren Standpunkte aus.” This translation is significant for two reasons: it includes the previously untranslated volume III and offers a complete revised version of volumes I and II, which had omitted parts of the original. First published between 1902 and 1908, these volumes are based on lecture notes from Klein’s courses for future mathematics teachers, introducing a teacher training approach that remains relevant today. Klein encourages students to adopt a comprehensive and methodological perspective on school mathematics. Volume II exemplifies Klein’s concept of elementarisation, showcasing how various geometries, particularly those developed since the early 19th century, can be unified within a restructured geometry framework. Klein famously asserted that “Projective geometry is all geometry,” and this volume illustrates how non-Euclidean geometry fits into this unifying vision. Additionally, a separate chapter discusses the teaching of geometry, providing valuable insights into its historical context and an international comparison.

Lingua: Inglese

Pubblicato: 2016