Famous Mathmetician
... so he discovered a new, completely different approach, which was able to prove the finite basis Theorem for any number of Variables. Hilbert sent the mathematische Annalen a paper proving the finite basis Theorem. Unfortunately Gordon was the inventor of the invariant theory for mathematisch Annalen, and Couldn’t really appreciate it. Gordon referred the later to Klein, a mathematician at Annalen. Gordon also sent his comments. Klein ignored his comments, and after reading Hilbert manuscripts he wrote him and said. “ I do not doubt that this is the most important work on general algebra that the annalen has ever published. Hilberts work had the best influence of Geometry in the are. Hilbert published Grundlugen der Geometry in 1899, putting Geometry in axiomatic setting. The book appeared in new editions, and was excellent in promoting the axiomatic approach to mathematics which has been one of the major characteristics of the subject through out the 20th century. Hilberts 23 Paris problems challenged mathematicians, and still some mathematicians today. One of Hilberts famous speeches “ The problems of mathematics”, was full of optimism for mathematics in the new coming century, and he felt that open problems were the sign of vitality in the subject. This is part of his speech. “ The great importance of definite problems for progress of Mathematical Science in general… is undeniable… for as long as a branch of knowledge supplies a surplus of such problems, it maintains its vitality… every mathematician certainly shares… The conviction that every mathematical problem is necessarily capable of strict resolution… we here within ourselves that constant cry. There is the problem, seek the solution. You can find it? Thought…” Continuum Hypothesis is included in Hilberts problems. A lot of people say that in 1915 Hilbert discovered the correct field equations for general relativity before Einstein, but that he never claimed priority. But unfortunately that wasn’t what happened. What happened was Hilbert sent his article on November 20 1915, but Einstein sent his on November 15. In 1934 and 1939 two volumes of Grundlagen der Mathematik were published which were intended to lead to a proof theory, a direct check for the consistency of mathematics. Hilbert contributed to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations. Hilbert’s mathematical abilities were nicely summed up by Otto Blumenthal. Here’s what he said. “ In the analysis of mathemati...