Project Gutenberg 2023-09-15 Public domain in the USA. 120 Hilbert, David 1862 1943 Hilbert, D. (David) Newson, Mary Frances Winston 1869 1959 Winston, Mary Frances‏ Winston, Mary F. Mathematical Problems : $b Lecture delivered before the International Congress of Mathematicians at Paris in 1900 $aLancaster & New York :$bThe Macmillan Company, $c1902. Cantor'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. Laura Natal Rodrigues (Images generously made available by The Internet Archive.) https://archive.org/details/sim_american-mathematical-society-bulletin_1902-07_8/mode/1up 20230812083315hilbert 1902 US en Mathematics QA Text Browsing: Mathematics Browsing: Science - General 192282 192287 2024-08-29T11:44:46.693114 2023-09-30T12:31:42.706470 text/html text/html 181181 2023-09-15T14:09:15 text/html 790145 2024-08-29T11:44:54.664075 application/epub+zip 786060 2024-08-29T11:44:48.760079 application/epub+zip 142512 2024-08-29T11:44:47.692091 application/epub+zip 619964 2024-08-29T11:45:00.944031 application/x-mobipocket-ebook 516454 2024-08-29T11:44:53.849061 application/x-mobipocket-ebook 16895 2024-08-29T11:45:01.283015 application/rdf+xml 15748 2024-08-29T11:44:48.067134 image/jpeg 3756 2024-08-29T11:44:47.879109 image/jpeg 322088 2023-09-15T14:09:15 application/octet-stream application/zip 380583 2024-08-29T11:44:46.986113 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://www.gutenberg.org/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog en.wikipedia en.wikipedia