Worlds Out of Nothing
A Course in the History of Geometry in the 19th Century
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker's equations) and their role in resolving a paradox in the theory of duality; to Riemann's work on differential geometry; and to Beltrami's role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how project…
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Produktdetails
- ISBN: 978-0-85729-060-1
- EAN: 9780857290601
- Produktnummer: 33312737
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2011
- Seitenangabe: 384 S.
- Plattform: PDF
- Masse: 4'428 KB
- Auflage: 2010
- Abbildungen: 71 schwarz-weiße Abbildungen, Bibliographie
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