Azala

Felix Klein The Erlangen Program /

This book presents a historical account of Felix Klein's "Comparative Reflections on Recent Research in Geometry" (1872), better known as his "Erlangen Program.” Originally conceived and written when Klein was collaborating with Sophus Lie, this bold essay initially made little i...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Rowe, David E. (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edizioa:1st ed. 2025.
Saila:Classic Texts in the Sciences,
Gaiak:
Mathematics.
History.
Geometry.
Topological groups.
Lie groups.
History of Mathematical Sciences.
Topological Groups and Lie Groups.
Sarrera elektronikoa:https://doi.org/10.1007/978-3-031-85474-3
Etiketak: Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
Aurkibidea:
  • Preface
  • Introduction
  • Part I. Prehistory of the “Erlangen Program”
  • 1 Klein as a Young Geometer
  • 2. Klein Encounters Sophus Lie
  • 3. Klein on Cayley’s Projective Metric
  • Part II. Klein’s “Erlangen Program” with Commentary
  • 4. Klein’s “Erlangen Program”
  • 5. Textual Analysis of Klein’s “Erlangen Program”
  • Part III. Four Phases of Reception and Transformation
  • 6. First Phase of Reception, 1873–1889
  • 7. Second Phase of Reception, 1890–1899
  • 8. Third Phase of Reception, 1900–1916
  • 9. Fourth Phase of Reception, 1917–1930
  • Part IV. Reconsiderations
  • 10 Historical Reflections
  • Bibliography
  • Name Index.

Antzeko izenburuak