Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen. ÔFortschritte der mathematischen Wissenschaften', 3. Leipzig und Berlin, B.G. Teubner, 1912, gr. in-8 , XXVI + 282 S., 1 Exlibris ÔS. Müller', Halblederband mit Bünden.
- Prix : 350.00 CHF
- Commander
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| First book edition of David Hilbert's six most important papers on integral equations, published from 1904 to 1910 in the ÔNachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen', here collected, and enlarged with a chapter on the kinetical theorie of gasses. A second edition was published in 1924. "Hilbert also enriched the classical theory of variations, but his most important contribution to analysis is integral equations, dealt with in a series of papers from 1904 to 1910. ... Today the least studied and the most obsolete among Hilbert's papers are probably those on integral equations. Their value is now purely historical, as the most important landmark ever set out in mathematics: the linear space method in analysis, with its geometrical language and its numerous applications, quite a few of which go back to Hilbert himself." (DSB). David Hilbert, a reknowned and many-sided professor of mathematics at Göttingen, presented many important works concerning the theory of invariants, algebraic forms, algebraic number theory (his ÇZahlberichtÉ is infinitely more than a report, it is one of the classics, a masterpiece of mathematical literature), foundations of Geometry (his work ÇGrundlagen der GeometrieÉ exerted a strong influence on the mathematics of the 20th century), analysis (Dirichlet's principle, calculus of variations, integral equations, Waring's problem), theoretical physics, foundations of mathematics. He also made essential contributions to the relativity theory. Dictionary of Scientific Biography VI/388-395; Honeyman Collection IV/1681 (the offprint of the six papers published in Göttingen); Poggendorff IV/637; Boyer, History of Mathematics S. 654-659. |
