Buch, Englisch, 270 Seiten, Format (B × H): 170 mm x 240 mm
Lie Groups, Polynomial Equations, and Fundamental Theorems of Arithmetic
Buch, Englisch, 270 Seiten, Format (B × H): 170 mm x 240 mm
ISBN: 978-3-11-223323-8
Verlag: De Gruyter
Observability in Mathematics was developed based on the denial of the concept of infinity. The book introduces 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 arithmetic itself and algebra. Arithmetic and Algebra play important roles not only in pure Mathematics but in contemporary Physics, for example, in Relativity theory and Quantum Mechanics. They will be called New Arithmetic and Algebra, both observers at the logical level and in arithmetic and algebra. The book reconsiders the foundations of classic arithmetic and algebra from this mathematical perspective. The relationships between numbers, polynomials, quaternions, groups, and algebras are discovered and exhibit new properties. It is shown that almost all classic arithmetic and algebra theorems are satisfied in Mathematics with Observers' arithmetic and algebra, where probabilities are less than 1.
Zielgruppe
Researchers, Postgraduates, Teachers and Instructors, Professiona
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Mathematik für Naturwissenschaftler
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Topologie Algebraische Topologie
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik Mathematik Algebra
