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Inversive Geometry
Inversive Geometry
📖 Book - PDF

Inversive Geometry

Frank Morley, F.V. Morley
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288 pages
language
English
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ePUB (mobile friendly) and PDF
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📖 Book - PDF

Inversive Geometry

Frank Morley, F.V. Morley
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About This Book

This introduction to algebraic geometry makes particular reference to the operation of inversion and is suitable for advanced undergraduates and graduate students of mathematics. One of the major contributions to the relatively small literature on inversive geometry, the text illustrates the field's applications to comparatively elementary and practical questions and offers a solid foundation for more advanced courses.
The two-part treatment begins with the applications of numbers to Euclid's planar geometry, covering inversions; quadratics; the inversive group of the plane; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; the celestial sphere; flow; and differential geometry. The second part addresses the line and the circle; regular polygons; motions; the triangle; invariants under homologies; rational curves; conics; the cardioid and the deltoid; Cremona transformations; and the n-line.

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Information

Publisher
Dover Publications
Year
2013
ISBN
9780486783062
Topic
Mathematics
Subtopic
Algebraic Geometry

Table of contents