Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century

Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century

Gray, Jeremy J.

Paperback

Series: Springer Undergraduate Mathematics, Book 0

General MathematicsGeometry

ISBN10: 0857290592
ISBN13: 9780857290595
Publisher: Springer
Published: Dec 3 2010
Pages: 384
Weight: 1.27
Height: 0.84 Width: 6.14 Depth: 9.21
Language: English

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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Gray, Jeremy J.

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General Mathematics

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