‎Mathématiques‎

‎"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.‎

Référence libraire : 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.‎

Référence libraire : 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.‎

Référence libraire : 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).‎

Référence libraire : 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.‎

Référence libraire : 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.‎

Référence libraire : 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)‎

Référence libraire : 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).‎

Référence libraire : 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

Référence libraire : 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

Référence libraire : 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.‎

Référence libraire : 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.‎

Référence libraire : 48249

‎SPECHT, WILHELM.‎

‎Gruppentheorie.‎

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

‎First edition.‎

Référence libraire : 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.‎

Référence libraire : 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.‎

Référence libraire : 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).‎

Référence libraire : 48338

‎SCHECHTER, MARTIN.‎

‎Principles of functional analysis.‎

‎N.Y. a. London, Academic Press, (1971). Orig. full cloth. XI,383 pp. Clean and fine.‎

Référence libraire : 48342

‎HILDEBRAND, FRANCIS B.‎

‎Advanced Calculus for Applications.‎

‎New Jersey, Prentice-Hall, (1963). Orig. full cloth. IX,646 pp. Name cut from upper corner of titlepage. Clean and fine.‎

Référence libraire : 48344

‎CECH, EDUARD.‎

‎Point Sets.‎

‎N.Y., London, Prag, Academic Press, 1969. Royal8vo. Orig. full cloth. Stamps on verso of titlepage. 271 pp. Clean and fine.‎

Référence libraire : 48347

‎"PEANO, G. (GUISEPPE). - THE ""FORMULARIO-PROJECT""‎

‎Formulaire de Mathématiques.‎

‎Paris, Georges Carré et C. Naud, 1901. Royal8vo. Contemp. hcalf. Spine gilt and with gilt lettering. Small stamp at foot of titlepage and last leaf. VIII,230,(2) pp. With the ownership-signature of the noted Danish logician Jørgen Jørgensen to front free endpaper. Clean and fine.‎

‎First edition of Peano's third version - the third volume - of his Formulario-project aiming at presenting all mathematical axioms and results in a clear form always using his five axioms and thereby rewrites all known mathematics in a symbolic form and thus provide a key to a satisfactory solution to the questions of the foundations of mathematics. The logical notations used by Peano were used and developed by Whitehead and Russell in their ""Principia Mathematica"" of 1910.""In 1892 he announced in the Rivista the Formulario project, which was to take much of his mathematical and editorial energies for the next sixteen years. He hoped that the result of this project would be the publication of a collection of all known theorems in the various branches of mathematics. The notations of his mathematical logic were to be used, and proofs of the theorems were to be given. There were five editions of the Formulario (the offered item being the third). The first appeared in 1895"" the last was completed in 1908, and contained some 4,200 theorems (the item offered). But Peano was less interested in logic as a science per se than in logic as used in mathematics. (For this reason he called his system ""mathematical logic."") Thus the last two editions of the Formulario introduce sections on logic only as it is needed in the proofs of mathematical theorems."" (DSB).The famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe Peano (1858 -1932) studied mathematics at the University of Turin, where he was employed just after graduating (1880), and where he stayed almost all of his life, devoting this to mathematics. After having graduated with honours, he was employed to assist first Enrico D'Ovidio, and then the renowned Angelo Genocchi, who possessed the chair of Infinitesimal calculus. In 1890 Peano became extraordinary professor, and in 1895 ordinary professor, of infinitesimal calculus at the Unversity of Turin.‎

Référence libraire : 48350

‎KOWALEWSKI, GERHARD.‎

‎Die klassischen Probleme der Analysis des Unendlichen. Dritte revidirte und erweiterte Auflage. Mit 115 Figuren im Text.‎

‎Leipzig, K.F. Koehler, 1938. Orig. full cloth. VIII,404 pp. Clean and fine.‎

Référence libraire : 48354

‎CRISTESCU, ROMULUS.‎

‎Ordered Vector Spaces and Linear Operators.‎

‎Bucarest, Academiei, 1976. Orig. full cloth with d/j. Name cut from foot of titlepage, no loss of letters. 339 pp. Fine and clean.‎

Référence libraire : 48356

‎APPELL, PAUL.‎

‎Éléments D'Analyse Mathématique a L'Usage des Ingénieurs et de Physiciens. Deuxieme Edition.‎

‎Paris, Gauthier-Villars, 1905. Royal8vo. Orig. full limp cloth, gilt.‎

Référence libraire : 48359

‎YOSIDA, KOSAKU.‎

‎Lectures on Differential and Integral Equations.‎

‎New York, Interscience, 1960. Orig. full cloth. IX,220 pp. Clean and fine.‎

Référence libraire : 48363

‎LOOMIS, L. H.‎

‎An Introduction to Abstract Harmonic Analysis.‎

‎Toronto, N.Y., Van Nostrand, (1953). Orig. full cloth. VIII,190 pp. Inscribed by the author to Ted (T.A. Bick). Clean and fine.‎

Référence libraire : 48365