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Mimar Sinan Güzel Sanatlar Üniversitesi Açık Bilim, Sanat Arşivi
Açık Bilim, Sanat Arşivi, Mimar Sinan Güzel Sanatlar Üniversitesi tarafından doğrudan ve dolaylı olarak yayınlanan; kitap, makale, tez, bildiri, rapor gibi tüm akademik kaynakları uluslararası standartlarda dijital ortamda depolar, Üniversitenin akademik performansını izlemeye aracılık eder, kaynakları uzun süreli saklar ve yayınların etkisini artırmak için telif haklarına uygun olarak Açık Erişime sunar.
Pierce, David(Claremont Center Mathematical Sciences, 2015)
In the manner of Apollonius of Perga, but hardly any modern book, we investigate conic sections as such. We thus discover why Apollonius calls a conic section a parabola, an hyperbola, or an ellipse; and we discover the ...
A method is presented for creating a problem, solving it, and confirming that the solution is correct. The problem is to analyze a quadratic equation in two variables, in order to identify and draw, in its place – that is, ...
The theory of fields that are equipped with a countably infinite family of commuting derivations is not companionable, but if the axiom is added whereby the characteristic of the fields is zero, then the resulting theory ...
Pierce, David(Claremont Center Mathematical Sciences, 2022)
Textbooks may say that the so-called conic sections can be obtained from cones, but this is rarely proved. However, diagrams of the proof require no intuition for solids and can be read as flat. We construct the diagrams ...
The model companion of the theory of fields with valuation and automorphism (of the pure field structure) exists. A counterexample shows that the theory of models of ACFA equipped with valuation is not this model companion.
For every natural number m, the existentially closed models of the theory of fields with m commuting derivations can be given a first-order geometric characterization in several ways. In particular, the theory of these ...
Pierce, David(Claremont Center Mathematical Sciences, 2017)
Commensurability and symmetry have diverged from a common Greek origin. We review the history of this divergence. In mathematics, symmetry is now a kind of measure that is different from size, though analogous to it. Size ...