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
Geometry by Its Transformations: Lessons Centered on the History from 1800-1855

Geometry by Its Transformations: Lessons Centered on the History from 1800-1855

Baltus, Christopher

Paperback

Series: Compact Textbooks in Mathematics

General MathematicsGeometry

Currently unavailable to order

ISBN10: 3031722809
ISBN13: 9783031722806
Publisher: Birkhauser
Published: Feb 8 2025
Pages: 205
Weight: 0.75
Height: 0.48 Width: 6.14 Depth: 9.26
Language: English

This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid's Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, and transformation geometry as in French schoolbooks of 1910. Projective geometry is presented by tracing its path through the work of J. V. Poncelet, J. Steiner, and K. G. C. von Staudt. Extensive exercises are included, many from the period studied. The prerequisites for approaching this course are knowledge of high school geometry and enthusiasm for mathematical demonstration.

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