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040 _aUtSlPG
041 7 _aen
_2iso639-1
050 4 _aQA
100 1 _aHilbert, David,
_d1862-1943
245 1 0 _aMathematical Problems
264 1 _aSalt Lake City, UT :
_bProject Gutenberg,
_c2023
300 _a1 online resource :
_bmultiple file formats
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aWikipedia page about this book: https://en.wikipedia.org/wiki/Hilbert%27s_problems
500 _aRelease date is 2023-09-15
505 0 _aCantor's problem of the cardinal number of the continuum -- The compatibility of the arithmetical axioms -- The equality of the volumes of two tetrahedra of equal bases and equal altitudes -- Problem of the straight line as the shortest distance between two points -- Lie's concept of a continuous group of transformations without the assumption of the differentiability of the functions defining the group -- Mathematical treatment of the axioms of physics -- Irrationality and transcendence of certain numbers -- Problems of prime numbers -- Proof of the most general law of reciprocity in any number field -- Determination of the solvability of a diophantine equation -- Quadratic forms with any algebraic numerical coefficients -- Extension of Kronecker's theorem on abelian fields to any algebraic realm of rationality -- Impossibility of the solution of the general equation of the 7th degree by means of functions of only two arguments -- Proof of the finiteness of certain complete systems of functions -- Rigorous foundation of Schubert's enumerative calculus -- Problem of the topology of algebraic curves and surfaces -- Expression of definite forms by squares -- Building up of space from congruent polyhedra -- Are the solutions of regular problems in the calculus of variations always necessarily analytic? The general problem of boundary values -- Proof of the existence of linear differential equations having a prescribed monodromic group -- Uniformizatiom of analytic relation's by means of automorphic functions -- Further development of the methods of the calculus of variations.
508 _aLaura Natal Rodrigues (Images generously made available by The Internet Archive.)
520 _a"Mathematical Problems" by David Hilbert is a lecture delivered in 1900. Hilbert presented twenty-three unsolved mathematical problems that would shape twentieth-century mathematics. Delivered at the International Congress of Mathematicians in Paris, the lecture outlined challenges ranging from number theory to geometry. Some problems were solved quickly, while others remain unsolved today. Several problems proved too vague for definitive answers, yet work on these questions earned mathematicians the highest honors and continues to drive mathematical research. (This is an automatically generated summary.)
534 _pOriginally published:
_cLancaster & New York: The Macmillan Company, 1902
653 _aMathematics
700 1 _aNewson, Mary Frances Winston,
_d1869-1959
856 4 _uhttps://archive.org/details/sim_american-mathematical-society-bulletin_1902-07_8/mode/1up
856 4 0 _uhttps://www.gutenberg.org/ebooks/71655
999 _c112381
_d112381