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
Observability and Mathematics Modeling: Hilbert, Euclid, Gauss-Bolyai-Lobachevsky, and Riemann Geometries

Observability and Mathematics Modeling: Hilbert, Euclid, Gauss-Bolyai-Lobachevsky, and Riemann Geometries

Khots, Nikolai
Khots, Boris

Hardcover

General ComputersGeneral MathematicsGeometry

ISBN10: 3111679462
ISBN13: 9783111679464
Publisher: de Gruyter
Published: Mar 17 2025
Pages: 444
Weight: 2.00
Height: 1.00 Width: 6.69 Depth: 9.61
Language: English

Observability in Mathematics were developed by authors based on denial of infinity idea. We introduce Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that the basic mathematical parts also become dependent on Observers. One of such parts is geometry. Geometry plays important role not only in pure Mathematics but in contemporary Physics, for example, in Relativity theory, Quantum Yang-Mills theory. We call New Geometry both Observers in arithmetics and in geometry. We reconsider the basis of classic geometry (points, straight lines, planes and space) from this Mathematics point of view. The relations of connection, order, parallels (Euclid, Gauss-Bolyai-Lobachevsky, Riemann), congruence, continuity are discovered and have new properties. We show that almost all classic geometry theorems are satisfied in Mathematics with Observers geometry with probabilities less than 1.

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