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Vorlesungen über ZAHLENTHEORIE. Erster band. Erste bis dreiunddreissigste vorlesung. Bearbaitet und herausgegeben von Dr. Kurt Hensel -- EDITION ORIGINALE (1901)
Leipzig, Teubner, 1901, un volume in 8, broché, couverture imprimée (dos cassé), 16pp., 509pp., (1), figures dans le texte
---- EDITION ORIGINALE ---- "KRONECKER étudie les propriétés des nombres algébriques et son apport est fondamental pour la théorie des corps". (Larousse "Inventeurs et scientifiques) ---- "KRONECKER's greatest mathematical achievements lie in his efforts to unify arithmetic, algebra and analysis and most particularly in his work on elliptical functions. His boudary formulas are particularly noteworthy in this regard, since they laid bare the deepest relationships between arithemtic and elliptical functions and provided the basis for Erich HECKE's later analytic-arithmeitcal investigations. KRONECKER also introduced a number of formal refinements in algebra and in the theory of numbers and many new theorems and concepts. Among the latter, special mention should be made of his theorem in ergard to the cyclotomic theory, according to which all algebraic numbers with Abelian and Galois groups (over the rational number field) are rational combinations of roots of unity. Histheorem on the convergence of infinite series is also significant... ". (DSB VII p. 508) ---- Cf cajori "A history of mathematics"**8876/N7DE
Über Schaaren von quadratischen und bilinearen Formen.
Berlin, Königl. Akad. der Wissenschaften, 1874. No wrappers. Offprint from ""Monatsbericht der Königl. Akademie der Wissenschaften zu Berlin"", Januar, Februar und März 1874. Titlepage (1-2),3-55 pp.
First printing in the offprint-form of Kroneckers main paper in the quarrell with Camille Jordan over the theory of bilinear forms
Über die verschiedenen Sturmschen Reihen und ihre gegenseitigen Beziehungen.
Berlin, Königl. Akad. der Wissenschaften, 1873. No wrappers. Offprint from ""Monatsberichte der Königl. Akademie der Wissenschaften zu Berlin"", Februar 1873. Titlepage. a. pp. (117-)154.
First printing in the offprint form.
Über die Flächen, deren mittlere Krümmung überall gleich Null ist"" (And Kronecker:) Über bilineare Formen.
Berlin, Königl. Akad. d. Wissenschaften, 1866. Uncut in orig. printed wrappers in ""Monatsbericht der Königlichen Preussischen Akademie der Wissenschaften zu Berlin"", Sept., October 1866. Pp. 595-655. Weierstrass' paper: pp.612-625. Kronecker's paper: pp. 597-612
Both papers first edition. Weierstrass is considered the most importen nineteenth-century german mathematician after Gauss and Riemann.
