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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
An Axiomatic Approach to Geometry: Geometric Trilogy I

An Axiomatic Approach to Geometry: Geometric Trilogy I

Borceux, Francis

Paperback

General MathematicsGeometry

ISBN10: 3319347519
ISBN13: 9783319347516
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 403
Weight: 1.29
Height: 0.86 Width: 6.14 Depth: 9.21
Language: English

Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic geometry marks the origin of formalized mathematical activity. It is in this discipline that most historically famous problems can be found, the solutions of which have led to various presently very active domains of research, especially in algebra. The recognition of the coherence of two-by-two contradictory axiomatic systems for geometry (like one single parallel, no parallel at all, several parallels) has led to the emergence of mathematical theories based on an arbitrary system of axioms, an essential feature of contemporary mathematics.

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