‎Mathématiques‎

‎"KLEIN, FELIX.‎

‎Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (+) Über die Transformation siebenter Ordnung der elliptischen Funktionen. - [FIRST MATHEMATICAL DESCRIPTION OF DESSIN D'ENFANT / DEDEKIND TESSELLATION]‎

‎Leipzig, B. G. Teubner, 1879. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 14., 1879. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 111-172"" Pp. 428-471. [Entire volume: Pp. (4), 576].‎

‎First printing of Felix Klein's two hugely influential papers in which he for the first time presented the first recognizable modern ""dessins d'enfants"". Klein called these diagrams Linienzüge (German, plural of Linienzug ""line-track"", also used as a term for polygon).Dedekind did in 1877 publish a paper in which part of the mathematical background for the ""dessins d'enfants"" was present. It was, however, Klein that fully explored, both mathematical and visual, its potential.‎

書籍販売業者の参照番号 : 48007

‎"KLEENE, S. C. [STEPHEN COLE].‎

‎On Notation for Ordinal Numbers.‎

‎Wisconsin, The Association for Symbolic Logic, 1938-39. Lev8vo. Bound in red half cloth with gilt lettering to spine. In ""Journal of Symbolic Logic"", Volume 3 & 4 bound together. Barcode label pasted on to back board. Small library stamp to lower part of 6 pages. A very fine copy. [Kleene:] Pp. 150-55. [Entire volume: 4, 212, (4), 194, (2) pp.].‎

‎"KLEIN, FELIX.‎

‎Neue Untersuchungen im Gebiete der elliptischen Functionen.‎

‎Leipzig, B.G. Teubner, 1886. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXVI. [26]. Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 455-464. [Entire issue: Pp. 309-464].‎

‎"KLEIN, FELIX.‎

‎Ueber die sogenannte Nicht-Euklidische Geometrie (+) Ueber die sogenannte Nicht-Euklidische Geometrie. (Zweiter Aufsatz). - [TWO MAIN WORKS ON NON-EUCLIDEAN GEOMETRY]‎

‎Leipzig, B.G.Teubner, 1871 u. 1873. Bound in 2 later full cloth. Small stamp on foot of titlepages.In. ""Mathematische Annalen. In Verbindung mit C. Neumann begründet durch Rudolf Friedrich Alfred Clebsch"", IV. und VI. Band. (4),637 pp. a. (4),642 pp., 6 plates. Klein's papers: pp. 573-625 a. pp. 112-145. Both volumes offered.‎

‎"KLEIN, FELIX.‎

‎Ueber einen liniengeometrischen Satz (+) Zur Interpretation der complexen Elemente in der Geometrie (+) Eine Uebertragung des Pascal'schen Satzes auf Raumgeometrie (+) Ueber den allgemeinen Functionsbegriff und dessen Darstellung durch eine willkürli...‎

‎Leipzig, B. G. Teubner, 1883. 8vo. Bound with the original wrappers in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen"", Volume 22., 1883. Entire volume offered. Wear to extremities. Library label pasted on to top of spine. Small library stamp to lower part of verso of title page. Very fine and clean. VI, 592 pp.‎

‎"KLEIN, FELIX.‎

‎Vergleichende Betrachtungen über neuere geometrische Forschungen. Programm zum Eintritt in die philosophische Facultät und den Senat der k. Friedrich-Alexanders-Universität. - [THE ERLANGER PROGRAMM]‎

‎Erlangen, Andreas Deichert, 1872. 8vo. (233x152mm). Uncut with the original printed front-wrapper (loose) - back-wrapper missing. Fine and clean throughout. 48 pp.‎

‎"KLEIN, FELIX.‎

‎Weitere Untersuchungen über das Ikosaeder. - [FELIX KLEIN ON THE ICOSAHEDRON]‎

‎Leipzig, B.G. Teubner, 1877. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XII. [12]. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 503-60. [Entire issue: Pp. pp. 433-576].‎

‎"KLEIN, FELIX.‎

‎Zur Theorie der Liniencomplexe des ersten und zweiten Grades (+) Die allgemeine lineare Transformation der Liniencoordinaten (+) Ueber die Abbildung der Complexflächen vierter Ordnung und vierter Classe. - [KLEIN ON LINE COMPLEXES]‎

‎Leipzig, B.G. Teubner, 1870. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 11. Band. 2. Heft."" Entire issue offered. Minor loss to wrappers, internally fine and clean. [Neumann:] Pp. 182-186. [Entire issue: IV, 191, (1) pp.].‎

‎"KLEIN, FELIX.‎

‎Über die sogenannte Nicht-Euclidische Geometri. (Erster-) Zweiter Aufsatz. - [THE NON-EUCLIDEAN GEOMETRY OF KLEIN]‎

‎(Leipzig, B.F. Teubner, 1871 a. 1873). Without wrappers, (wrappers blank to Second Part) as published in ""Mathematische Annalen. Hrsg. von Felix Klein, Walter Dyck, Adolph Mayer."" Vol. IV, pp. 573-625 and vol. VI, pp. 112-145. Kept in a cloth-portfolio.‎

‎"KLEIN, FELIX.‎

‎Über hyperelliptische Sigmafunktionen.‎

‎Leipzig, B.G. Teubner, 1886. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 27., 1886. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 431-464 . [Entire volume: Pp. IV, 600.]‎

‎"KOCH, HELGE VON.‎

‎Sur une application des déterminants infinis à la théorie des équations différentielles linéaires (+) Sur les déterminants infinis et les équations différentielles linéaires.‎

‎[Berlin, Stockholm, Paris, Beijer, 1891 - 1892]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 15 and 16. Fine and clean. Pp. 53-63" Pp. 217-295.‎

‎First printing of Koch's two paper which together constitute his doctoral thesis. Von Koch is known principally for his work in the theory of infinitely many linear equations and the study of the matrices derived from such infinite systems. He also did work in differential equations and in the theory of numbers. (DSB).‎

書籍販売業者の参照番号 : 45853

‎"KOBB, GUSTAV‎

‎Sur les maxima et les minima des intégrales doubles.‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1892-3. 4to. As extracted from ""Acta Mathematica"", Vol, 16, 1892-3. No backstrip. A fine and clean copy. Pp. 65-140.‎

‎First printing of Kobb's paper in which he obtained the edge conditions for the double integral in parametric form.‎

書籍販売業者の参照番号 : 49647

‎"KOLMOGOROV, ANDREI NIKOLAEVICH‎

‎Über die Summen durch den Zufall bestimmter unabhängiger Grössen.‎

‎Berlin, Springer, 1928. Royal8vo. Bound in recent blue/green full cloth with gilt lettering to spine. In ""Mathematische Annalen"", 99, 1928. A very nice and clean copy, near mint. Pp. 309-319. [Entire volume: IV, 751, (1) pp].‎

‎First printing Kolmogorav's famous paper in the convergence of sums of independent random variables.""Kolmogorov's publishing his celebrated three-series theorem (the present), which gives necessary and sufficient conditions for the convergence of sums of independent random variables, to his discovering necessary and sufficient conditions for the strong law of large numbers and to his proving the law of the iterated logarithm for sums of independent random variables. His 1931 paper, on continuous time Markov processes with continuous states, is widely regarded as having laid the foundations of modern diffusion theory. His 1949 work, Limit Distributions for Sums of Independent Random Variables, co-authored with B. V. Gnedenko, was for many years the standard source on the central limit theorem and surrounding topics."" (DSB)Andrey Nikolaevich Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity.‎

書籍販売業者の参照番号 : 47253

‎"KOCH, HELGE VON.‎

‎Sur les déterminants infinis et les équations différentielles linéaires.‎

‎[Berlin, Stockholm, Paris, Beijer, 1892-93]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16. Fine and clean. Pp. 217-295.‎

‎"KOENIG (KÖNIG), SAMUEL. - GIVING RISE TO ONE OF THE UGLIEST SCIENTIFIC CONTROVERSIES.‎

‎De universali Principio aequilibrii & motus, in Vi viva reperto, deque nexu inter Vim Vivam & Sctionem, utriusque Minimo, Dissertatio. (+) ...continuata & finita. (2 Parts).‎

‎Leipzig, Gleditsch & Lanckis, 1751. 4to. No wrappers. In: ""Nova Acta Eruditorum, Anno MDCCLI"", March- Issue, Pars I-II. Entire issue in 2 parts offered. With titlepage to the volume 1751. Pp. 97-192. Koenig's paper: pp. 125-135 a. pp. 162-176. With 2 engraved plates. Titlepage with 2 stamps and a bit soiled. Leaves as usual a bit browned.‎

‎"KOOPMAN, B. O. - GEORGE D. BIRKHOFF. - THE ERGODIC THEOREM DISCOVERED AND PROVED‎

‎Hamiltonian Systems and Transformation in Hilbert Space. (Koopman) (+) Proof of a Recurrence Theorem for strongly transitive Systems. (Birkhoff) (+) Proof of the Ergodic Theorem. (Birkhoff).‎

‎Easton, PA., Mack printing Compagny, 1931. Royal8vo. Contemp. full cloth. Spine gilt and with gilt lettering. In: ""Proceedings of the National Academy of Sciences of the United States of America"", Vol. 17. VII,710 pp. (Entire volume offered). The papers: pp. 315-318, 650-655 and 656-660.‎

‎"KRIPKE, SAUL A.‎

‎A Completeness Theorem in Modal Logic. - [KRIPKE MODELS FOR MODAL LOGIC]‎

‎(No place), The Association for Symbolic Logic, 1959. Lev8vo. Bound in red half cloth with gilt lettering to spine. In ""Journal of Symbolic Logic"", Volume 24. Barcode label pasted on to back board. Small library stamp to lower part of 6 pages. A very fine copy. Pp. (1) - 14. [Entire volume: VI, 374 pp.).‎

‎The seminal first printing of Kripke's debut article, which provided the basis for his logic and for the model theory for modal logic in general. The work constitutes the very beginning of Kripke Semantics (often called possible world semantics). Kripke's works in general are rare in fist editions. Many of them remain unpublished and are only known in privately circulated manuscripts.The American philosopher Saul A. Kripke (born 1940) is an exceedingly important logician and philosopher of language and one of the most powerful and influential thinkers of analytic and Anglo-American philosophy. He is considered the greatest living philosopher and perhaps the greatest since Wittgenstein. In 2001 he was awarded the Schock Prize in Logic and Philosophy, which is considered the philosopical equivalent of the Nobel Prize.Kripke, who grew up in Omaha in a religious Jewish family, was somewhat of a prodigy child. During grammar school he got intimately acquainted with and mastered to perfection algebra, geometry and calculus, and very early on he took up philosophy, which later became his career. Still a teenager, in high school, he wrote a work that was to change the face of philosophical logic forever, namely the groundbreaking paper ""A Completeness Theorem for Modal Logic"", which was printed a few years later, in 1959, in the Journal of Symbolic Logic, while he was in his first year at Harvard University. This seminal debut work proposed what later came to be known as Kripke models for modal logic. The story goes that the paper earned a letter from the department of mathematics urging Kripke to apply for a job there, to which he is said to have written an answer explaining ""My mother said that I should finish high school and go to college first.""In 1962 he graduated from Harvard University, where he remained until 1968, first as a member of the Harvard Society of Fellows and then as a lecturer. During these years he developed the logical theories founded in the ""Completeness Theorem"" further and made seminal contributions to the field of logic and semantics. Kripke Semantics is a formal semantics for non-classical logic systems that Kripke began developing in his teenage years, first published something on in 1959 (the present work) and further developed in the 60'ies and. The development of Kripke Semantics was no less than a breakthrough in the making of non-classical logics, of which no model theory existed before Kripke's. With this work, Kripke laid the foundation for proving completeness theorems for modal logic, and for identifying the weakest normal modal logic, which is now named K after him.‎

書籍販売業者の参照番号 : 48378

‎"KRAFT, JENS.‎

‎Methode at bevise, hvorledes man i alle Tilfælde kand bestemme den ene Ubekiendte ved en u-endelig Følge af Terminis, som gives ved den anden, i de Algebraiske Liigheder, som indeholde to Ubekiendte.‎

‎(Copenhagen, 1751). 4to. In recently blue paper covered card board binding with white paper-label title-label to front board. Previous owner's name to pasted down front end-paper. Without wrappers as issued in ""Videnskabernes Selskabs Skrifter"", a nice and clean copy. Pp. 323-354.‎

‎First edition of Kraft’s paper on algebra and infinite series, placing him among the most significant Danish mathematicians of his time. The work presents a method for determining an unknown variable in an algebraic equation using an infinite sequence of terms relating to series expansion techniques later formalized in Puiseux series, which play a role in modern algebraic geometry and analysis. This work is important in understanding Kraft’s ability as both a mathematician and a philosopher. It show his mathematical talent in algebra and infinite series while also aligning with his Newtonian physics and Leibnizian philosophy.‎

書籍販売業者の参照番号 : 61841

‎"KRONECKER, LEOPOLD.‎

‎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.‎

書籍販売業者の参照番号 : 40425

‎"KRONECKER, LEOPOLD.‎

‎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.‎

‎"KRUSKAL, WILLIAM.‎

‎Helmert's Distribution.‎

‎[No place, no printer], 1946. 8vo. In the original printed wrappers. Offprint from: ""American Mathematical Monthly"", Vol. LIII, No. 8, 1946. A very fine and clean copy. Pp. 435-38.‎

‎"KUMMER, E. E.‎

‎Transcendenten, welche aus wiederholten Integrationen rationaler Formeln entstehen.‎

‎Berlin, G. Reimer, 1827. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 2. Band, 1827""., without backstrip. Fine and clean. [Gudermann:] Pp. 223-226. [Entire volue: Pp. 198-292 + two folded plates].‎

‎First printing of Kummer's paper on Transcendental Numbers.‎

書籍販売業者の参照番号 : 47283

‎"KUMMER, F. F.‎

‎Über eine besondere Art, aus complexen Einheiten gebildeter Ausdrücke.‎

‎Berlin, Georg Reimer, 1855. 4to. Bound in contemporary half cloth with paper label to spine. In ""Journal für die reine und angewandte Mathematik"", 50. band, Heft 1-4, 1855. Extremities with wear. Number written to top right corner of title page. Small library stamp to lower part of p. 1. Internally fine and clean. Pp. 212-238. [Entire volume: IV, 392 pp. + 4 plates.‎

‎First printing of Kummer's paper which laid the foundation for Hilbert's Theorem 90 (or Satz 90). In abstract algebra Hilbert's Theorem 90 refers to an important result on cyclic extensions of fields that eventually leads to Kummer theory.‎

書籍販売業者の参照番号 : 47530

‎"KUMMER, E. E.‎

‎Transcendenten, welche aus wiederholten Integrationen rationaler Formeln entstehen.‎

‎Berlin, G. Reimer, 1827. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 2. Band, 1827""., without backstrip. Fine and clean. [Gudermann:] Pp. 223-226. [Entire volue: Pp. 198-292 + two folded plates].‎

‎"KUMMER, F. F.‎

‎Über eine besondere Art, aus complexen Einheiten gebildeter Ausdrücke.‎

‎Berlin, Georg Reimer, 1855. 4to. Bound in contemporary half cloth with paper label to spine. In ""Journal für die reine und angewandte Mathematik"", 50. band, Heft 1-4, 1855. Extremities with wear. Number written to top right corner of title page. Small library stamp to lower part of p. 1. Internally fine and clean. Pp. 212-238. [Entire volume: IV, 392 pp. + 4 plates.‎