On the decision problem and the mechanization of theorem proving in elementary geometry
, Automated Theorem Proving: After 25 years, American Mathematical Society, 1984, Vol.
Nine Solved and Nine Open Problems in Elementary Geometry
Smarandache, Eight Solved and Eight Open Problems in Elementary Geometry
, in arXiv.
Modernism in geometry is associated with changing views on the nature of and developments within geometry (non-Euclidean geometry, projective geometry, Hilbert's axiomatization of elementary geometry
, Italian axiomatic geometry) as well as on geometry's relation to science and everyday experience.
of South Bohemia) gives readers the basic theories of automatic theorem proving as well as computational methods as he explains topics of elementary geometry
Using elementary geometry
and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves.