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Worlds Out of Nothing paperback
- Publisher : Springer
- Language : English
- Paperback : 384 pages
- ISBN-13 : 9780857290595
- Item Weight : 1 kg 270 g
- Dimensions : 15.49 x 2.36 x 23.5 cm
- Country of Origin : India
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 projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance.
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