‎Mathematics‎

‎"STEICHEN, E.‎

‎Mémoire de mécanique, relatif au mouvement de rotation et au mouvement naissant des corps solides.‎

‎Berlin, G. Reimer, 1852. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 43. band, Heft 3, 1852. Entire third heft offered. Fine and clean. Pp. 185-244. [Entire volume: Pp. 185-282 + 3 plates.].‎

‎First printing of Steichen's paper the rotational movement of solids.‎

Bookseller reference : 47536

‎"MALMSTÉN, C. J.‎

‎De integralibus quibusdam definitis, seriebusque infinitis.‎

‎Berlin, G. Reimer, 1849. 4to. Contemporary binding with marbled paper over boards. In ""Journal für die reine und angewandte Mathematik"", 38. band, Heft 1-4, 1849. Entire 38. band offered. Fine and clean. Pp. 1-92. [Entire offered volume: IV, 372 pp. + 1 folded plate].‎

‎First printing of Malmsten's important paper in which he - independently of Kummer - discovered Kummer Series.‎

Bookseller reference : 47538

‎"HERMITE, CHARLES. - SOLVING THE QUINTIC EQUATION.‎

‎Sur la résolution de l’équation du cinquième degré. (On the Solution of the Equation of the Fifth Degree).‎

‎(Paris, Mallet-Bachelier), 1858. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 46, No 11. Pp. (503-) 546 (entire issue offered). Hermite's paper: pp. 508-515.‎

‎First apperance of Hermite's famous paper in which he, by the application of elliptic functions, provided the first solution to the general equation of the fifth degree, the quintic equation.Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions. He first studied the representation of integers in what are now called Hermitian forms. His famous solution of the general quintic equation appeared in Sur la résolution de l’équation du cinquième degré (1858"" ""On the Solution of the Equation of the Fifth Degree""). (Encyclopedia Britannica).Parkinson ""Breakthroughs"" 1858 M.‎

Bookseller reference : 47568

‎"HERMITE, CHARLES. - INTRODUCING HERMETIAN MATRICES.‎

‎Remarques sur un théoerème de M. Cauchy.‎

‎(Paris: Gauthier-Villars), 1855. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 41, No 6. Pp. (161-) 228. (Entire issue offered). Hermite's paper: pp. 181-183. Light marginal browning.‎

‎First apperance of the paper in which Hermite introduced the so-called Hermetian Matrix, which later should be of great importence for Quantum Mechanics.‎

Bookseller reference : 47893

‎"MICHEL, PAUL-HENRI.‎

‎De Pythagore a Euclide. Contribution à l'histoire des Mathématiques préeuclidiennes.‎

‎Paris, Société D'Édition ""Les Belles Lettres"", 1950. Royal8vo. Uncut and unopened in orig. printed wrappers. Stamp to foot of titlepage. 699 pp., textfigs. Fine and clean.‎

Bookseller reference : 47934

‎PICARD, ÉMILE.‎

‎Sur le Développement de l'analyse et ses Rapports avec diverses Sciences. Conférences faites en Amérique‎

‎Paris, Gauthier-Villars, 1905. Orig. printed wrappers. Stamps on titlepage. (8),168 pp. Internally clean and fine. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition.‎

Bookseller reference : 47945

‎WAISMANN, FRIEDRICH.‎

‎Einführung in das mathematische Denken. Die Begriffsbildung der modernen Mathematik. Mit einem Vorwort von Karl Menger.‎

‎Wien, Gerold & Co., 1936. Lex8vo. Orig. printed wrappers. Uncut. A bit of backstrip gone. A nick to right margin of frontwrapper. Stamps to titlepage. VIII,188 pp., textdiagrams. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition.‎

Bookseller reference : 47949

‎KOWALEWSKI, GERHARD.‎

‎Einführung in die Analytische Geometrie. Mit 112 Figuren.‎

‎Leipzig, Veit & Co., 1910. Orig. hcloth. Stamps on foot of titlepage. (8),360 pp., textfigs. Internally clean and fine. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on front free endpaper.‎

‎First edition.‎

Bookseller reference : 47978

‎LÉVY, PAUL.‎

‎Lecons D'Analyse Fonctionnelle. Avec une Preface de M.J. Hadamard.‎

‎Paris, Gauthier-Villars, 1922. Royal8vo. Orig. printed wrappers. Stamps to foot of titlepage. Upper part of backstrip gone. VI,442 pp. Internally clean and fine. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎Fisrt edition. Lévy introduced the term 'Functional Analysis'.‎

Bookseller reference : 47983

‎"BOLTZMANN, LUDWIG. - DEFENDING THE ATOMIC VIEWPOINT.‎

‎Über die Integrale linearer Differentialgleichungen mit periodischen Coëfficienten.‎

‎Wien, Karl Gerold's Sohn, 1868. 8vo. Uncut and unopened in orig. printed wrappers. In: ""Sitzungsberichte der kaiserlichen Akademie der Wissenschaften"", 58. Band, 1. Heft - Juni. Pp. (1-) 155 a. 7 plates.(Entire issue offered). Boltzmann's paper: pp. 54-59. Clean and fine.‎

‎First apperance of an importent paper in which Boltzmann from a mathematical point of view defends atomism. ""Throughout his career, even in his works on subjects other than kinetic theory Boltzmann was concerned with the mathematical problems arising from the atomic nature of matter. Thus, an early paper with the title ""Über die Integrale linearer Differentialgleichungen mit periodischcn Koeffizienten"" (1868) turned out to be an investigation of the validity of Cauchy’s theorem on this subject, which is needed to justify the application of the equations for an elastic continuum to a crystalline solid in which the local properties vary periodically from one atom to the next."" (DSB). The issue contains an importent paper by JOHANN JOSEPH LOSCHMIDT ""Ableitung des Potentiales bewegter elektrischer Massen aus dem Potentiale für die Ruhestand"", pp. 7-14, in which he attempted to derive the Weber-Ampère law from that of Coulomb, and, in accordance with Kirchhoff, to derive Ohm’s law from hydrodynamic flow laws, analogous to Poiseuille’s law.‎

Bookseller reference : 47990

‎"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.‎

Bookseller reference : 48007

‎"DUBISLAV, WALTER. - DEDICATION COPY.‎

‎Die Philosophie der Mathematik in der Gegenwart.‎

‎Berlin, Junker und Dünnhaupt, 1932. Lex8vo. Orig. printed wrappers. A small nick to frontwrapper at top of spine. Stamps on halftitle and foot of titlepage. VIII,88 pp. Inscribed from the author on halftitle (to Jørgen Jørgensen) ""Mit den besten Grüssen vom Verf./ übersandt"". From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition (Philosophische Forschungsberichte Heft 13).Dubislav was joint founder (with Hans Reichenbach and Kurt Grelling) of the 'Berlin Society for Empirical (later: Scientific) Philosophy' (Berliner Gesellschaft für empirische Philosophie), which, along with the Vienna Circle, is one of the points of origin of logical empiricism. The founding members of the Berlin Circle were listed as sympathisers within the Vienna Circle.Dubislav focused on a logical and mechanistic foundation of mathematics and physics, influenced by Bernard Bolzano's ""Theory of Science"" (Wissenschaftslehre). He presented a formalised account of Gottlob Frege's theory of definitions.‎

Bookseller reference : 48033

‎"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 willkürlic...‎

‎Leipzig, B. G. Teubner, 1883. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 22., 1883. 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. VI, 592 pp.‎

‎First printing of Klein's papers on geometry.""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎

Bookseller reference : 48043

‎"CAYLEY, ATHUR.‎

‎Tables des formes quadratiques binaires pour les determinants negatifs depuis D = - 1 jusqu'à D= - 100, pour les déterminants positifs non carrés depuis D = 2 jusqu'à D = 99, et pour les treize déterminants négatifs irréguliers qui se trouvent dans ...‎

‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Cayley:] Pp. 357-372.‎

‎First printing of Cayley's paper including many tables of tables of binary quadratic forms.‎

Bookseller reference : 48049

‎"JACOBI, C. G. J.‎

‎Über die Abbildung eines ungleichaxigen Ellipsoids auf einer Ebene, bei welcher die kleinsten Theile ähnlich bleiben.‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Jacobi:] Pp. 74-88.‎

‎First printing.‎

Bookseller reference : 48051

‎"CLEBSCH, A. (+) J. STEINER.‎

‎Ueber diejenigen Probleme der Variationsrechnung, welche nur eine unabhängige Variable enthalten (+) Vermischte Sätze und Aufgaben.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Clebsch:] Pp. 335-355"" [Steiner)] Pp. 356-378.‎

‎First printing of these two important papers by Clebsch and Steiner.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

Bookseller reference : 48065

‎"ARONHOLD, S.‎

‎Theorie der homogenen Functionen dritten Grades von drei Veränderlichen.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Aronhold:] Pp. 97-191.‎

‎First printing of Aronhold's important paper on the theory of invariants: Aronhold was particularly attracted by the theory of invariants, which was then the center of mathematical interest, and was the first German to do research in this area. The theory of invariants is not, however, connected with Aronhold alone - others who worked on it were Sylvester, Cayley, and Hesse - but he developed a special method that proved to be extremely successful. Aronhold stresses that he arrived at his principles as early as 1851, citing his doctoral dissertation and the treatise ""Theorie der homogenen Funktionen dritten Grades... (1858). Since the subsequent theory and terminology did not yet exist, he claimed priority."" (DSB).‎

Bookseller reference : 48067

‎"LEMOINE, ÈMILE.‎

‎De la mesure de la simplicité dans les constructions géométriques.‎

‎(Paris, Gauthier-Villars), 1888. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 107, No 3. Pp. (157-) 199. (Entire issue offered). Lemoine's paper: pp. 169-171.‎

‎First appearance of the paper in which Lemoigne ""assigns a measure of simplicity to geometrical constructions, based on the number of times each of the five elementary operations (such as placing one end of a compass on a given point) is employed."" (Parkinson ""Breakthroughs"" 1888 M‎

Bookseller reference : 48184

‎BAIRE, RENÉ (LOUIS).‎

‎Lecons sur les Fonctions Discontinues professées au College de France. Rédigées par A. Denjoy.‎

‎Paris, Gauthier-Villars, 1905. Lex8vo. Uncut in orig. printed wrappers. Stamp on foot of titlepage. VIII,128 pp. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontcover. Internally fine and clean.‎

‎First edition of Baires third work which had a profound influence on the teaching of mathematics in France‎

Bookseller reference : 48239

‎BOREL, ÈMILE.‎

‎Introduction Géomètrique a quelques Théories Physiques.‎

‎Paris, Gauthier-Villars, 1914. Lex8vo. Uncut in orig. printed wrappers. Small stamp on foot of titlepage. VIII,137,(2) pp. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper. Internally fine and clean.‎

‎First edition.‎

Bookseller reference : 48246

‎HILBERT, D. UND W. ACKERMANN.‎

‎Grundzüge der theoretischen Logik. Dritte, verb. Aufl.‎

‎Berlin, Springer, 1949. Orig. full cloth. A few brownspots to covers. A small stamp on foot of titlepage. VIII,156 pp.‎

Bookseller reference : 48249

‎SPECHT, WILHELM.‎

‎Gruppentheorie.‎

‎Berlin, Göttingen, heidelberg, 1956. Orig. full cloth. VII,457 pp. Clean and fine.‎

‎First edition.‎

Bookseller reference : 48331

‎VIVANTI, G.‎

‎Theorie der eindeutigen analytischen Funktionen. Umarbeitung unter mitwirkung des Verfassers Deutsch von A. Gutzmer.‎

‎Leipzig, B.G. teubner, 1906. Orig. full cloth. Small stamp to titlepage. VI,512 pp. Clean and fine.‎

Bookseller reference : 48333

‎CSASZAR, AKOS.‎

‎Grundlagen der allgemeinen Toplogie. 1. Auflage der deutschen Ausgabe.‎

‎Leipzig, B.G. teubner, 1963. Lex8vo. orig. full cloth. 367 pp. Clean and fine.‎

Bookseller reference : 48335

‎FECHNER, GUSTAV THEODOR. - THE FREQUENCY INTERPRETATION OF PROBABILITY.‎

‎Kollektivmasslehre. Im Auftrage der Königlich Sächsischen Gesellschaft der Wissenschaften. Herausgegeben von Gottl. Friedr. Lipps.‎

‎Leipzig, Wilhelm Engelmann, 1897. Lex8vo. Orig. hcalf. Spine gilt and with gilt lettering. Covers with a few scratches. X"483 pp. Stamps to foot of titlepage. Internally fine and clean.‎

‎First edition. Fechner is noted for the introduction of quantitative methods into psychology (e.g. Fechner's Law). His most importent contribution to statistics is his posthumously published book on the measurements of collectives, his ""Kollektivmasslehre"" from 1897. The main examples he treated are to be found in anthropology, zoology, botany, meteorology and aesthetics.""Fechner's Kollektivmasslehre was of immediate influence on many of his colleagues in Leipzig. The psychologists Gottlob Friedrich Lipps, Wilhelm Wirth and to some extent also Wilhelm Wundt used the new methods in psychophysics. Charles Edward Spearman who obtained his Ph.D. under Wundt extended Fechner's ideas and studied the correlation between magnitudes. The Leipzig astronomer and mathematician Heinrich Bruns (1848-1919) soon gave a general solution to Fechner's problem of a mathematical representation of frequency distributions, the so-called Bruns-series (today called Gram-Charlier series) and tried to unify Fechner's theory of collectives with probability theory. His most illustrious student was Felix Hausdorff who carried this tradition further. (Girlich 1996) Bruns and Hausdorff, however, dropped Fechner's requirement of chance variation of the collective object, thus obscuring any trace of Fechner's indeterminism."" (The Encyclopedia sponsored by Statistics and Probability Societies).‎

Bookseller reference : 48338