Essays in Constructive Mathematics Edwards Harold M. Pevná vazba
Essays in Constructive Mathematics Edwards Harold M. Pevná vazba This book promotes constructive mathematics not by defining it or formalizing it but by practicing it. The topics covered derive from…
Specifikacia Essays in Constructive Mathematics Edwards Harold M. Pevná vazba
Essays in Constructive Mathematics Edwards Harold M. Pevná vazba
This book promotes constructive mathematics not by defining it or formalizing it but by practicing it. The topics covered derive from classic works of nineteenth century mathematics - among them Galois' theory of algebraic equations, Gauss's theory of binary quadratic forms and Abel's theorem about integrals of rational differentials on algebraic curves. This means that its definitions and proofs use finite algorithms, not algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met.
Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric For Abel's theorem the main algorithm is Newton's polygon, which is given a full treatment.
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