‎Mathématiques‎

‎YELDHAM, FLORENCE A.‎

‎The Teaching of Arithmetic through Four Hundred Years (1535-1935).‎

‎London, Georg G. Harrap, (1936). Small 8vo. Orig. full cloth. 143 pp. Frontispiece, textdiagrams, 2 plates.‎

Referenz des Buchhändlers : 32564

‎PETERSEN, JULIUS.‎

‎Vorlesungen über Funktionentheorie.‎

‎Kopenhagen, Høst & Søn, 1898. Cont. hcalf. (8),328 pp.‎

Referenz des Buchhändlers : 32614

‎SCHOLZ, HEINRICH & GISBERT HASENJAEGER.‎

‎Grundzüge der mathematischen Logik.‎

‎Berlin & Göttingen & Heidelberg, Springer-Verlag, 1961. 8vo. Orig. full cloth. In fine condition. XV,504 pp.‎

‎First edition. Published in the series 'Die Grundlehren der mathematische Wissenschaften in Einzeldarstellungen' as volume 106.‎

Referenz des Buchhändlers : 32716

‎BRESSAN, ALDO.‎

‎A General Interpreted Modal Calculus. Foreword by Nuel D. Belnap, Jr.‎

‎New Haven & London, Yale University Press, 1972. 8vo. Orig. full cloth. XXVIII,327 pp.‎

‎First edition.‎

Referenz des Buchhändlers : 32725

‎BETH, E. W.‎

‎Les fondements logiques des mathématiques.‎

‎Paris, Gauthier-Villards, 1950. 8vo. Orig printed wrappers. Lover capital a bit worn and a few pencil notes, otherwise fine. 222 pp.‎

‎First edition. Published in the series 'Collection de Logique Mathématique', Serie A.‎

Referenz des Buchhändlers : 32737

‎WANG, HAO. & ROBERT NAUGHTON.‎

‎Les systèmes axiomatiques de la théorie des ensembles.‎

‎Paris, Gauthier-Villars, 1953. 8vo. Orig. wrappes. A bit worn. 54,(1) pp.‎

‎First edition. Published in the series 'Collection de Logique Mathematique', Serie A, IV.‎

Referenz des Buchhändlers : 32755

‎KNEEBONE, G. T.‎

‎Mathematical Logic and the Foundations of Mathematics. An Introductory Survey.‎

‎London, D. van Nostrand, (1963). 8vo. Orig. full cloth. XIV,435 pp.‎

‎First edition.‎

Referenz des Buchhändlers : 32759

‎NIDDITCH, P. H.‎

‎Introductory Formal Logic of Mathematics.‎

‎London, Univ. Tutorial Press, (1957). Small 8vo. Orig. full cloth w. gilt lettering to spine and front board. VII,188 pp.‎

‎First edition.‎

Referenz des Buchhändlers : 32768

‎ROSSER, J. BARKLY.‎

‎Logic for Mathematicians.‎

‎New York, McGraw-Hill Book Comp., 1953 8vo. Orig. full cloth. Some wear to bottom of front board, internally fine. XIV,530 pp.‎

‎First edition. Published in 'International Series in Pure and Applied Mathematics', edited by W. T. Martin.‎

Referenz des Buchhändlers : 32840

‎GOODSTEIN, R. L.‎

‎Mathematical Logic.‎

‎Leicester, Leicester Univ. Press, 1957. 8vo. Orig. full cloth w. gilt lettering to spine and front board. A few underlinings. VIII,104 pp.‎

‎First edition.‎

Referenz des Buchhändlers : 32842

‎"LORENTZ, HENDRIK ANTOON.‎

‎The Theory of Electrons and its Applications to the Phenomena of Light and Radiant Heat. A Course of Lectures delivered in Columbia University, New York, in March and April 1906.‎

‎Leipzig, B.G. Teubner, 1909. 8vo. Recent attractive full cloth with gilt title to spine. A fine and unmarked copy. (4),332,(2) pp.‎

‎First edition of 'the first true exposition of electrodynamics from an atomistic point of view' - ""Landmark Writings in Western Mathematics 1640-1940"" pp.781.‎

Referenz des Buchhändlers : 33263

‎TARKSI, ALFRED.‎

‎Cardinal Algebras.‎

‎New York, Oxford University Press, 1949. 8vo. Publishers full cloth with dust jacket fine condition. XII,326 pp.‎

‎First edition. The first exposition of cardinal arithmetic on an algebraic foundation.‎

Referenz des Buchhändlers : 33474

‎"CARNAP, RUDOLF.‎

‎Der Raum. Ein Beitrag zur Wissenschaftslehre. - [SPACE - CARNAP'S FIRST PUBLICATION]‎

‎Berlin, Reuther & Reichard, 1922. 8vo. Uncut in the original grey printed wrappers w. very neat professional repairs to inner hinges and to capitals. Printing on spine nearly fully intact. A very faint waterstaining to upper corner throughout, otherwise a very good, nice and clean copy of a publication, which in itself is quite fragile. 87 pp.‎

‎First edition of Carnap's first publication, his doctoral dissertation. Printed in Kant-Studien, Ergänzungshefte, Nr. 56. Issued by H. Vaihinger, M. Frischeisen-Kähler and A Liebert. Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago. In Jena he was appointed Professor of Mathematics, though his main interest at that time was in physics. By 1913 he planned to write his dissertation on thermionic emission, but this was interrupted by World War I, where he served at the front until 1917. Afterwards he studied the theory of relativity under Einstein in Berlin, and he developed the theory for a new dissertation, namely on an axiomatic system for the physical theory of space and time. He thus ended up writing the important dissertation under the direction of Bouch on the theory of space (Raum) from a philosophical point of view. The dissertation was submitted in 1921, and, due to the clear influence from Kantian philosophy, it was published the following year in this supplement to the ""Kant-Studien"". After the publication of his first work, Carnap's involvement with the Vienna Circle began to develop. He met Reichenbach in 1923 and was introduced to Moritz Schlick in Vienna, where he then moved to become assistant professor at the university. He soon became one of the leading members of the Vienna Circle, and in 1929 he, Neurath, and Hahn wrote the manifest of the Circle.As the title indicates, ""Der Raum"" deals with the philosophy of space. Partly influenced by Husserl, under whom he studied at Freiburg, Carnap poses the question whether our knowledge of space is analytic, synthetic a priori or empirical. His answer is that it depends on what is meant by ""space"", and thus differentiates between three kinds of theories of space: Formal (which is analytic [a priori]), intuitive (which is synthetic a priori), and physical (which is empirical [or synthetic aposteriori]). He compares this division of space with that of geometry into: projective, metric and topological. This, of course, anticipates much of his later philosophy, and some of his theories developed in this paper became the official position of logical empiricism on the philosophy of space. In this work he also develops a formal system for space-time topology, which became quite influential.‎

Referenz des Buchhändlers : 33482

‎HOSTINSKÝ, B.‎

‎Équations Fonctionnelles: Relatives Aux Probabilités Continues en Chaîne. (Exposés d´analyse générale, vol. 10, Maurice Fréchet).‎

‎Paris, Hermann & Cie, 1939. 8vo. One issue of 'Actualités Scientifiques et Industrielles', no. 782. Original printed wrappers. Fine condition. 46,(2) pp.‎

‎First edition.‎

Referenz des Buchhändlers : 33791

‎CHANDRASEKHAR, SUBRAMANYAN.‎

‎Stochastic Problems in Physics and Astronomy.‎

‎Lancaster, American Physical Society, 1943. 4to. In: Reviews of Modern Physics, vol 15, no. 1, p.1-89. Entire issue offered here. Original printed wrappers. Corners a little bumped. Some sunning. Else fine and clean.‎

‎First edition. This paper was reprinted in 'Selected Papers on Noise and Stochastic Processes' by Nelson Wax, Dover, 1954.‎

Referenz des Buchhändlers : 33797

‎HÁJEK, OTOMAR‎

‎Pursuit Games. An Introduction to the Theory and Applications of Differential Games of Pursuit and Evasion.‎

‎New York, Academic Press, 1975. 8vo. Publishers full cloth. Fine condition. XII,266 pp.‎

‎Volume 120 of 'Mathematics in Science and Engineering'.‎

Referenz des Buchhändlers : 33803

‎HJELTE, C.‎

‎Lærebog i den elementære Geometrie for Eleverne af det kongelige Landcadetacademie. Anden Udgave. Anden Deel: Stereometrie.‎

‎Kjøbenhavn, Schultz, 1838. Orig. blankt blå kardusomslag. (4),95,(1) pp. samt 4 litograferede plancher med talrige figurer. Med svag skjold. Stempel på titelblad.‎

Referenz des Buchhändlers : 34544

‎"LAGRANGE, JOSEPH LOUIS.‎

‎Sur L'Élimination des Inconnues dans les Équations.‎

‎(Berlin, Haude et Spener, 1771). 4to. No wrappers, as issued in ""Mémoires des l'Academie Royale des Sciences et Belles-Lettres"", tome XXV, pp. 303-318. Fine and clean.‎

‎First edition of this importent paper in algebraic analysis, read before the Academy October 29, 1767 and published as a Memoir 1771. He employed Cramer's method of symmetric functions but made it more rapid by use of the series development of log (1+u).‎

Referenz des Buchhändlers : 34680

‎"EUCLID OF ALEXANDRIA - GESTRINIUS, MARTIN ERIK.‎

‎In geormetriam Euclidis Demonstrationum Libri Sex. In quibus Geometria planorum traditur, & brevis Notis perspicue explicatur. Impensis & sumptibus Authoris. - [FIRST SWEDISH EUCLID-EDITION.]‎

‎Uppsala, Eschillus Matthiæ, 1637. Small 4to. Cont. full vellum over wood. Spine ends worn, tears to hinges, but not broken, lower edges of boards with old repairs. Some old ink annotations on boards. Inside frontcover and on title many old owner names, small wholes cut in titel without loss of letters. First ab. 20 leaves with a faint dampstain in upper margin, inkspots on last page. Internally clean. (24),350,(2) pp., numerous geometrical diagrams in the text.‎

‎Scarce first edition of the first Swedish edition of Euclid's Elements (Book I-VI) with Gestrinius' commentaries to the axioms and porpositions and with his attempt of a proof of the ""Parallel-axiom"" (The Fifth Postulate). In the preface he discusses the use of plane-geometry in the theories of Aristoteles, Eudoxus, Ptolemy and Kepler. - Gastrinius (1594-1648) became professor of mathematics in Uppsala in 1621 after studies in Greifswald.Collijn (1600-Talet) I:310. - Riccardi p. 436 (1637,2) - Poggendorff I:889. - Not in Max Steck.‎

Referenz des Buchhändlers : 34701

‎EUCLID OF ALEXANDRIA.‎

‎Evclide Megarense Philosopho: solo introdvtttore delle Scientie Mathematice" diligentemente Reassettato, et alla integrita ridotto per il degno Professore di tal Scientie Nicolo Tartalea, Brisciano, Secondo le due Tradottioni: e per commune commodo & ... - [FIRST ""EUCLID"" IN THE VERNACULAR BY TARTAGLIA.]‎

‎(Colophon: Venice, Venturino Rossenelli, 1543). Folio. (30,5x22 cm.). Contemporary full Italian limp vellum. Remains of ties. Old handwritten title on spine. Upper part of frontcover slightly creased. A few small nicks to hinges at cords. Vellum with brownspots. 242 leaves (2-241 numb. II-CCXXXIX). Misnumbering of leaves in sign. A (10 lvs.), due to the insertion of corrections on f A5. (Collation corresponds to that given by Thomas-Stanford No. 34). Large margins profusely illustrated with diagrams. Upper right corner of title gone with loss of of 3 letters ""NSE"" in MEGARENSE, f A2-A6 with upper right corners and a wormtract-hole in lower margin repaired. A wormtract in lower margin on the next 11 lvs. A1-A6 mounted skillfully on thin opaque parchment-paper. A rather faint dampstain in upper right corner throughout. Last 5 leaves with a small nick in right margin, no loss. Otherwise remarkable clean and printed on good strong paper. On the title a large woodcut device with arms with G.T. (Gabriele Tadino, to whom the work is dedicated). Colophon with large woodcut device with the letters .P.Z.F. and this repeated on verso of last leaf.‎

‎Scarce first edition of the first translation of Euclid in any modern language by the famous Niccolo Tartaglia. The translation and Tartaglia's commentaries, strongly accelerated the development of physics and mechanics in the 16th century, as it showed how mathematics could be applied to dynamics and mechanics as well as to architecture, construction and perspective. More than 20 years should elapse before the next language should receive the privilege of displaying Euclid among their goods, this was the French translation published by Pierre Forcadel, Paris 1564. ""When Tartaglia submits that his redaction was made ""secondo le due tradittioni"", there is no question that Campanus - who appears to be heavely favored - and Zamberti are meant. When Campanus has added propositions or premises, Tartaglia has approriately translated them and noted their absence ""nelle seconda tradittione"", while things omitted by Campanus but included by Zamberti receive the reverse treatment"" (John Murdoch in DSB).Niccolo Fontana Tartaglia of Brescia has a great name in the history of mathematics. A cut in the face from a French soldier caused him to stammer and as a consequence of this he was called 'Tartaglia' (the stammerer). He is famous for his solution of third-degree equations which occasioned a long polemic with Cardano about priority. He is also known for ""Tartaglia's Triangle"", later known as ""Pascal's Triangle"", and he is well-known for his Archimedes-edition of 1543 and 1551 with his commentaries.""The most famous source of Greek geometry is the monumental work of Euclid of Alexandria, called the ""Elements"" (around 300 B.C.). No other book of science had a comparable influence on the intellectual development of mankind. It was a treatise of geometry in thirteen books which included all the fundamental results of scientific geometry up to his time. Euclid did not claim for himself any particular discovery, he was merely a compiler. Yet, in view of the systematic arrangement of the subject matter and the exact logical procedure followed, we cannot doubt that he himself provided a large body of specific formulations and specific auxiliary theorems in his deductions. It is no longer possible to pass judgement on the authorship of much of this material"" his book was meant as a textbook of geometry which paid attention to the material, while questions of priority did not enter the discussion."" (Cornelius Lanzos in ""Space through the Ages"").Max Steck III:40 - Thomas-Stanford: 34 - Riccardi Euclideana 1543, 1 - Adams E:992. - Brunet II:1090. (Premiere edition de ce travail estimé). - Graesse II:513.‎

Referenz des Buchhändlers : 34704

‎VON NEUMANN, JOHN.‎

‎Über die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen‎

‎Berlin, Julius Springer, 1929. Offprint from 'Mathematische Zeitschrift' volume 30, pp. 3-42. 8vo. Original printed wrappers. Fine condition.‎

‎First edition offprint issue.‎

Referenz des Buchhändlers : 34732

‎"ACKERMANN, WILHELM.‎

‎Begründung des ""tertium non datur"" mittels der Hilbertschen Theorie der Widerspruchsfreiheit. - [ACKERMANN'S DISSERTATION]‎

‎Berlin, Julius Springer, 1925. In: 'Mathematische Annalen', volume 93, pp.1-36. Entire volume offered here (314 pp.) Bound in modern full cloth. Ex-library stamp on title page.‎

‎First edition of Ackermann's doctorial dissertation. Ackermann was a student of Hilbert and played an important role in the development of 20th century mathematical logic.‎

Referenz des Buchhändlers : 34751

‎CARNAP, RUDOLF.‎

‎Meaning and Necessity. A Study in Semantics and Modal Logic. - [THE DEFINITIONS OF L-TRUE AND L-FALSE]‎

‎Chicago, (1947). 8vo. Orig. green full cloth w. gilt lettering to spine. Minor bumping to extremities, otherwise a very nice, clean and fresh copy. VIII, 210 pp.‎

‎The not common first edition of Carnap's important main work on semantics, in which he, as the first logician ever, uses semantics to explain modalities. This led to a interest in the structure of scientific theories, and his main concerns here were to describe the distinction between analytic and synthetic statements and to suitably formulate the verifiability principle" -he thus wishes to find a criterion of significance that can be applied to scientific language.It is in his ""Meaning and Necessity"" that Carnap first defines the notions of L-true and L-false (Chapter II). A statement is said to be L-true if its truth depends on semantic rules, and L-false if its negation is L-true. Any statement that is either L-true or L-false is L-determined"" analytic statements are L-determined, while synthetic statements are not L-determined. As opposed to the definitions he gives in his ""The Logical Syntax of Language"", these definitions now apply to semantic in stead of syntactic concepts. It is also in this work that he gives his interesting explanation of his ""belief-sentences""Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago. In Jena he was appointed Professor of Mathematics, though his main interest at that time was in physics. By 1913 he planned to write his dissertation on thermionic emission, but this was interrupted by World War I, where he served at the front until 1917. Afterwards he studied the theory of relativity under Einstein in Berlin, and he developed the theory for a new dissertation, namely on an axiomatic system for the physical theory of space and time. He thus ended up writing the important dissertation under the direction of Bouch on the theory of space (Raum) from a philosophical point of view. After the publication of his first work, Carnap's involvement with the Vienna Circle began to develop. He met Reichenbach in 1923 and was introduced to Moritz Schlick in Vienna, where he then moved to become assistant professor at the university. He soon became one of the leading members of the Vienna Circle, and in 1929 he, Neurath, and Hahn wrote the manifest of the Circle.According to Hintikka, Carnap came extremely close to possible-worlds semantics in his ""Meaning and Necessity"", but did not succeed, because he was not able to go beyond classical model theory (see ""Carnap's heritage in logical semantics"" in ""Rudolf Carnap, Logical Empiricist"").‎

Referenz des Buchhändlers : 34801

‎GAUSS, CARL FRIEDRICH.‎

‎Disquisitiones generales circa superficies curvas. (General Investigations of Curved Surfaces). - [FOUNDATION OF MODERN GEOMETRY]‎

‎Göttingen, Dieterich, 1828. Small 4to. Extracted from: 'Commentationes Societatis Regiae Scientiarum Gottingensis', Volume 6, pp.99-146. 4to. Modern half morocco with gilt spine lettering. Fine and clean throughout.‎

‎First edition of the work which inspired one of the greatest breakthroughs in geometry since Euclid.Euler established the theory of surfaces in his 'Recherches sur la courbure des surfaces', 1767. But Euler's treatment of surfaces is not invariant under a natural notion of isometry with his notion of curvature, for example, the plane and cylinder have different curvatures, although one surface can be bent into the other without stretching or contracting. Such two surfaces are locally alike and one would naturally demand that geometry on these two isometric surfaces are the same. Another way of viewing this is to say that geometry on the surface depends on the geometry of the particular space, in which the surface is embedded.In this work Gauss took a fundamentally different approach to the study of surfaces" in contrast to Euler he represented the points of a surface in terms of two external parameters. Gauss then derived his own notions of the fundamental quantities of surfaces, e.g. arc length, angle between curves, and curvature. The Gauss curvature is related to the Euler curvature, but possesses a fundamentally different property, namely that it is intrinsic, e.g. isometric surfaces have the same curvature at all points. Or, in other words: Geometry (in Gauss' notion) on the surface is independent of the particular geometry of the ambient space. This remarkable result is known as Gauss' ""theorema egregium"". With this work Gauss established a whole new (and more proper) theory of surfaces. In the paper Gauss derived several important theorems about the length, area, and angles of figures on surfaces. But the ""theorema egregium"" has deep roots in the foundation of geometry and was to initiate one of the greatest breakthroughs in geometry since Euclid. To Bernhard Riemann (a student of Gauss) this result suggested that a surface could be regarded as a space in itself with its own geometry, having its own notion of distance, angles, etc. independent of the geometry of some other space containing the surface. This idea became the corner stone of Riemann's famous 'Ueber die Hypothesen, welche der Geometrie zu Grunde liegen', 1867.Norman 880.‎

Referenz des Buchhändlers : 34861

‎LOBATSCHEFSKIJ - ENGEL, FRIEDRICH. (LOBACHEVSKY, LOBACHEVSKII, LOBACEVSKIJ, LOBATSCHEWSKJI)‎

‎Nikolaj Iwanowitch Lobatschefskij. Zwei geometrische Abhandlungen, aus dem Russischen übersetz, mit Anmerkungen und mit einer Biographie des Verfassers. 1. Teil: Die Uebersetzung. Mit einem Bildnisse Lobatschefskijs und 194 Fig. 2. Teil: Anmerkungen, ...‎

‎Leipzig, B.G. Tuebner, 1898-99. Royal8vo. Uncut and unopened in original printed wrappers. Wrappers with some tears. Front wrapper loose. Lithographed portrait of Lobachevsky, XVI,236,(3),237-476 pp.‎

‎First edition. Contains the first translation of Lobachevsky's seminal 1829 paper 'O Nachalakh Geometrii / On the Principles of Geometry' (see Sommerville Bibliography 1829).‎

Referenz des Buchhändlers : 35025