Essays in Constructive Mathematics
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Publication:4652400
DOI10.1007/b138656zbMath1090.11001OpenAlexW653304646MaRDI QIDQ4652400
Publication date: 25 February 2005
Full work available at URL: https://doi.org/10.1007/b138656
binary quadratic formsfactorization of polynomialsGalois theorygenussplitting fieldconstructivismNewton's polygontheorem of Riemann-Rochcomposition of formsSylow's theorems
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01)
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Euler's lute and Edwards's oud ⋮ Operationalism: an interpretation of the philosophy of ancient Greek geometry ⋮ The construction of solvable polynomials ⋮ A constructive version of Laplace's proof on the existence of complex roots ⋮ Axel Thue in context ⋮ Roots of solvable polynomials of prime degree ⋮ Globally convergent, iterative path-following for algebraic equations ⋮ Constructing Gröbner bases for Noetherian rings ⋮ A normal form for elliptic curves ⋮ How discrete patterns emerge from algorithmic fine-tuning: a visual plea for Kroneckerian finitism ⋮ Space of valuations ⋮ MODULARITY IN MATHEMATICS ⋮ A double Sylvester determinant ⋮ Building Mathematics-Based Software Systems to Advance Science and Create Knowledge
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