Dwarvern Mathematics

Otun'Na is the dwarvern system of decimal numbers. The accompanying systems of mathematics are called otunNa Zin, meaning the work of ten numbers, or simply yZin (the Work). The Work focuses on number theory and geometry, but the symbols and the concept of a place-value system have influenced Steadfast statistical studies, Orcish algebra and the calculus developed by mathematicians of The Elysian Federation. Dwarven mathematical study has absorbed all of these fields, and developed the fields of logic and set theory, but in the typical conservatism of the Dwarfs, these new fields are not considered part of the Work, but of naZin eno; lesser number work.
The key features of otunNa Zin are the place value system and accompanying decimal notation, the use of decimal fractions for precise calculation, and the rigorous cataloguing of the properties of shapes. The study of numbers includes an understanding of squares, not and other powers, and the properties of primes. Dwarven geometry includes the fundamentals of trigonometry, although that particular science has mostly been refined by later generations as part of the naZin eno.
Practical applications of traditional dwarven mathematics include the scientific study of metallurgy, surveying and architecture. The mechanics of excavation and subterranean supports are precisely calculated. The geometry of otunNa Zin also informs dwarven art, which, in its traditional forms, adheres to absolute rules of form and proportion.