‎Mathématiques‎

‎KARSTEN, WENCESLAUS JOH. GUSTAV.‎

‎Lehrbegriff der Mathematik. 8 Theile (in 9). Zweyte Aufl. (Theil 6-8 Erste Aufl.). 8 Bde. (Kpl.).‎

‎Greifswald, Ferdinand Röse, 1771-94. Bound in 8 fine contemp.hcalf. Gilt spines.Tome-and titlelabels with gilt lettering. A paperlabel pasted on top of spines. Stamps on front free endpapers. 9 engraved titlevignettes. Ca.5600 pp. and 129 folded engraved plates. Internally fine.‎

‎Poggendorff I, 1225.‎

Referenz des Buchhändlers : 51413

‎HEDEGAARD, JOHAN CHRISTIAN.‎

‎Noget om Decimal=Brøkers Behandling.‎

‎Kiøbenhavn, Brünnich, 1814. Blankt papomslag med shirtryg. Stempler på titelbladet. 30 pp.‎

‎Bibl.Danica II, 30.‎

Referenz des Buchhändlers : 51415

‎EULER, LEONHARD & LAGRANGE, JOSEPH LOUIS.‎

‎Einleitung in die Analysis des Unendlichen. Aus dem Lateinischen übersetzt und mit Anmerkungen und Zusätzen begleitet von Johann Andreas Christian Michelsen. Erstes- (Drittes Buch). 3 Bde. (Bd. 3 auch mit eigenen Titel: Die Theorie der Gleichungen. Au... - [THE INTRODUCTION OF THE NOTATION F(x)]‎

‎Berlin, Carl Matzdorff, 1788-91. Bound in 3 nice uniform contemp. calf. Spinesgilt. Tome-and titlelabels withgiltlettering. A paperlabel pasted on top of spines. Stampson title-pages. XXIV,626,(3)VIII,578"(8),530 pp., 2 tables (one folded) and 9 double-page folded engraved plates (8+1). A bit of soiling and browning to title-page in volume 1. Volume 3 has a rather faint dampstain to the lower third of leaves, causing a bit of yellowing to some leaves in the middle of the volume. A few scattered brownspots,but clean.‎

‎Scarce first German edition of his ""Introductio in analysin infinitorum"" from 1748, a work by which Euler lays the foundation of modern mathematical analysis, by summarizing his numerous discoveries in infinite series, infinite products, and continued fractions, and it is here he introduces the CONCEPT OF FUNCTION by the notation F(x), and defines it as any analytical expression formed in any manner from a variable quantity and constants. He includes polynomials, power series, and logarithmic and trigonometric expressions. He also defines a function of several variables. - ""Euler's book is one of the few books on mathematics that is mentioned by John Carter and Percy H. Muir in their Printing and the Mind of Man. There Euler is compared with Euclid: what Euclid did with his ""Elements"" for geometry, Euler did with his ""Introductio"" for analysis. It was by means of this textbook that analysis became an independent discipline within mathematics."" (Karin Reich in ""Landmark Writings in Western Mathematics""). Enestrom (Euler Archive): E 101-02 (Introductio) - Volume 3 is not listed by Enestrom, and it comprises 7 memoirs on equations, 2 by Euler and 5 by Lagrange. All 7 are first German translations as the memoirs originally appeared in Latin and French in St. Petersbourg Akad. der Wissenschaften and in Königl. Akademie der Wissenschaften zu Berlin. (Euler: translation of Enestrom E 30 (1738) and E 282 (1764)).The 5 memoirs by Lagrange consist of his famous contributions to the theory of algebraic equations originally published in French in Königl. Akademie der Wissenschaften zu Berlin 1769-73, here in the first German translations, and among these his groundbreaking ""Von der Auflösung der numerischen Gleichungen"" (Sur la Résolution des Équations Numèriques 1769), where he provides methods, by examining the roots of algebraic equations, of separating the real and imaginary roots of approximating the real roots with continued fractions.Enestrom E 101-102 (1. ed., not listing vol. 3) - PMM: 196 (Introductio).‎

Referenz des Buchhändlers : 51419

‎LACROIX, S.F. (SYLVESTRE FRANCOIS).‎

‎Élémens de Geometrie, a l'usage de L'Ecole Centrale des Quatre-Nations. Quatorzième Édition, revue et corrigée.‎

‎Paris, Bachelier, 1830. Contemp. hcalf. Spine gilt and with gilt lettering. Stamp on title-page. XLVII,216 pp. and 9 folded engraved plates. A small wormtract in margin of the first few leaves. Internally clean and fine.‎

Referenz des Buchhändlers : 51521

‎LACROIX, S.F. (SYLVESTER FRANCOIS).‎

‎Traité élémentaire de calcul différentiel et de Calcul intégral. Quatrième Édition, revue et corrigée et augmebtée.‎

‎Paris, Bachelier, 1828. Contemp. hcalf. Spine gilt and with gilt lettering. A paperlabel pasted on top of spine. Stamps on title-page. XVI,685 pp. and 5 folded engraved plates. First and last leaves mildly brownspotted, otherwise fine.‎

Referenz des Buchhändlers : 51553

‎LACROIX, S.F. (SYLVESTER FRANCOIS).‎

‎Traité élémentaire de D'Arithmétique, a L'usage de L'Ecole Centrale des Uuatre-Nations. Dix-septième èdition, revue et corrigée.‎

‎Paris, Bachelier, 1826. Contemp. hcalf. Spine gilt and with gilt lettering. A paperlabel pasted on top of spine. Stamps on title-page. VIII,160 pp. A few leaves mildly brownspotted, otherwise fine.‎

Referenz des Buchhändlers : 51555

‎LACROIX, S.F. (SYLVESTER FRANCOIS).‎

‎Élémens D'Algèbre, a L'usage de L'Ecole Centrale des Quatre-Nations. Quinzième édition, revue et corrigée.‎

‎Paris, Bachelier, 1830. Contemp. hcalf. Spine gilt and with gilt lettering. Stamps on title-page. XII,372 pp. Internally clean.‎

Referenz des Buchhändlers : 51557

‎LACROIX, S.F. (SYLVESTRE FRANCOIS).‎

‎Élémens de Geometrie, a l'usage de L'Ecole Centrale des Quatre-Nations. Treizième Édition, revue et corrigée.‎

‎Paris, Bachelier, 1825. Contemp. hcalf. Spine gilt and with gilt lettering. Stamps on title-page. XLVII,216 pp. and 9 folded engraved plates. A few mild brownspots.‎

Referenz des Buchhändlers : 51559

‎CAMUS, (CHARLES ETIENNE LOUIS).‎

‎Cours de Mathématiques. Premiére Partie: Élémens D'Arithmetique. Quatrieme Édition.‎

‎Paris, Ballard, 1768. Contemp. full calf. Raised bands, richly gilt spine. A paperlabel pasted on upper compartment. VIII,(4),480 pp. and 1 folded engraved plate. Internally clean, printed on thick paper.‎

Referenz des Buchhändlers : 51649

‎EULER, LEONHARD.‎

‎Vollständige Anleitung zur Integralrechnung. Aus dem Lateinischen ind Deutsche übersetz von Joseph Salomon. 4 Bde. - [A LANDMARK TEXTBOOK ON THE INTEGRAL CALCULUS]‎

‎Wien, Carl Gerold, 1828-30. 8vo. Bound in 4 contemp. hcalf. Gilt spines with gilt lettering. Very light wear to top of spine on vol. 2. A stamp on title-pages and a previous owners name. A printed paperlabel on all 4 frontcovers. A few corners a bit bumped. VIII,439IV,424VIII,439"VI,520 pp. and 3 folded engraved plates. Internally clean and fine.‎

‎First German edition (a translation from the Latin ""Institutiones Calculi Integralis"", 1768-70) of this landmark work on the integral calculus, being the most complete and accurate work on the subject at the time. It ""contained not only a full summary of everything then known on this subject, but also the Beta and Gamma functions and other original investigations"" (Cajori). The work exhibits Euler's numerous discoveries in the theory of both ordinary and partial differential equations, which were especially useful in mechanics.""(Euler) presents methods of definite and indefinite integration, having invented many of the methods himself, such as the use of an ""Euler substitution"" for rationalizing particular irrational differentials. His treatment is near exhaustive for integrals expressive as elementary functions. He also develops the theory of ordinart and partial differential equations and presents many properties of the beta and gamma function Eulerian integrals introduced by Euler earlier.""(Parkinson ""Breakthroughs"" 1768 M).Enestroem E 342, E 385, E 385 (The Latin edition). - Poggendorff I, 690.‎

Referenz des Buchhändlers : 51817

‎KREBS, HENDRIK JOHANNES.‎

‎Begyndelses=Grunde til den høiere Geometrie, eller Afhandling om Keglesnittene, efter Unterbergers Begyndelses Grunde i Mathematiken. Forandret og videre udført af Hendrik Johannes Krebs. Fordansket af Friderik Wilhelm Henrik Mourier.‎

‎Kiøbenhavn, Schubothe, 1799. Samtidigt hldrbd,, rygforgyldning og forgyldt skindtitel. En papirsetiket påsat øverst på ryg. Stempler på titelbladet. 120 pp. samt 10 kobberstukne foldeplancher. Indvendig ren, trykt på skrivepapir.‎

Referenz des Buchhändlers : 51858

‎SALNEUVE, J.F.‎

‎Cours de Topographie et de Géodésie fait a L'École D'Application du Corps royal d'Etat-Major.‎

‎Paris, (Maison Anselin), 1841. Contemp. hcalf. Gilt spine, titlelabel with gilt lettering. A paperlabel pasted on upper part of spine. Stamps on title-page. XXVI,(2),409 pp. and 18 folded engraved plates.‎

‎First edition.‎

Referenz des Buchhändlers : 51867

‎"ROSENTHAL, G.E. (HRSG.).‎

‎Encyklopädie aller mathematischen Wissenschaften, ihrer Geschichte und Literatur in alphabetischer Ordnung. Erste Abtheilung enthaltend: die reine Mathematik und praktische Geometrie. 1.-4. Bd. (A-F). Mit einer Vorrede von Kästner. Hrsg. von G. E. Ros...‎

‎Gotha, Ettinger, 1794-96. Lex8vo. Bound in 4 contemp. hcalf. Gilt spines, title- and tomelabels with gilt lettering. A paperlabel pasted on upper part of spines. Stamp on title-pages. With 48 folded engraved plates.‎

‎Seems to be all published volumes of ""Erste Abtheilung"". - Poggendorff II, 697.‎

Referenz des Buchhändlers : 52134

‎TARSKI, ALFRED.‎

‎Logic, Semantics, Metamathematics. Papers from 1923 to 1938. Translated by J.H. Woodger.‎

‎Oxford, Clarendon Press, 1956. 8vo. Original publisher's cloth with dust jacket. XIV,471,(1) pp. Clean and fine.‎

‎First English edition of 17 papers by Tarski including 'The Concept of Truth in Formalized Languages'. The papers have been revised by Tarki himself, bibliographical and historical notes have been added.‎

Referenz des Buchhändlers : 52154

‎GERSTNER, JOHANN.‎

‎Trigonometrische Tafel für Land- und Feldmesser, auch Markscheider etc. zur Erleichterung und Abkürzung der beym Reduciren auf den Horizont vorkommenden Rechnungen eingerichtet nebst einigen andern gemeinnützigen Tafeln. Mit einer Tafel.‎

‎Baireuth, Grauischen Buchhandlung, 1829. 4to. Contemp. clothbacked boards. Stamps on titlepage. Browning to title-page. VII,(2),38 pp. and 1 plate.‎

Referenz des Buchhändlers : 52179

‎FRANCOEUR, L.B.‎

‎Cours Complet de Mathématiques Pures, dédié A. S. M. Alexandre Ier, Empereur de Russie. Seconde Édition. revue et considerablement augmentée. Tome premier (of 2).‎

‎Paris, Courcier, 1819. Contemp. blank boards. Wear to top of spine. Stamp on halftitle and title-page. XX,479,(1) pp. and 12 folded engraved plates.‎

Referenz des Buchhändlers : 52246

‎CRAMER, CHRISTIAN.‎

‎Algebra Tyronica. 1.-2. Part. Første Part. I hvilken Algebra Numerosa saa udførlig og tydelig forestilles, at Begyndere derved kand være deres egen Lærere... Andet, og til anførte Øiemed meget forbedret Oplag. (+) Anden Part. Indeholdende I. De 4 Spec...‎

‎Kiøbenhavn, L.N. Svare, 1762 og 1765. 8vo. Samtidigt papbd. permernes overtrækspapir bortslidt. Permer delvis løse. 112"160 pp. samt 2 kobberstukne plancher (den ene med orig. håndkolorering). Begge plancher med brugsspor og begge signeret af Cramer selv, den sidste med lidt tab i øverste venstre hjørne. Indvendig med lidt brugsspor og nogle spredte svage skjolder.‎

‎Første samlede udgave af den første danske lærebog i algebra, hvor den første part udkom i 1744 som Cramers Regne-Bogs anden Part (men her af mindre omfang). Anden Part er originaludgaven. På side 160 er trykt ""Hermed følger 2de Tabeller, en med Couleurer, hvorpaa mit Navn og Signet, og en trykt Dito, som paa 2de Blade limes for at kaste ud til Eftersyn."" - Bibl. Danica II, 22.‎

Referenz des Buchhändlers : 52297

‎"ORE, ØYSTEIN.‎

‎Über die Reduzibilität von Algebraischen Gleichungen.‎

‎Kristiania, Jacob Dybwad, 1923. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers detached from book-block, otherwise fine. 37, (1) pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the reducibility of algebraic equations.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

Referenz des Buchhändlers : 52312

‎"ORE, ØYSTEIN.‎

‎Kriterien für Gleichungen mit Primitiven Gruppen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 16 pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the criteria for equations with primitive groups.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

Referenz des Buchhändlers : 52314

‎BOHR, HARALD.‎

‎Bidrag til de Dirichlet´ske Rækkers Theori.‎

‎Copenhagen, G.E.C. Gad, 1910. Royal 8vo. Uncut in the original printed wrappers. Previous owner's name to half title. Spine with wear, top 1 cm of spine with loss of paper, otherwise fine. 136 pp.‎

‎First edition of Harald Bohr's doctoral dissertation‎

Referenz des Buchhändlers : 52360

‎WLOCHATIUS, AUGUST WILHELM.‎

‎Elementar-geometrische Auflösungen des Delischen Problems, der Aufgabe vom Dreischnitt des Winkels und einiger anderen Sätzen, als ein reguläres 7, 11, 13, 17, 19, 23, 29 Eck geometrisch zu zeichnen, nebst einer neuen und sehr leichten Methode, eine L...‎

‎Königsberg, Heinrich Degen, 1804. Small8vo. Contemp. hcalf. Gilt spine. Titlelabel with gilt lettering on top of frontcover. Stamp. on title-page. (8),103,(1) pp. and 2 folded engraved plates. A few scattered brownspots.‎

‎First edition.‎

Referenz des Buchhändlers : 52648

‎"ARCHIMEDES.‎

‎De iis quae vehuntur in Aqua Libri Duo. A’ Federico Commandino Urbinate in pristinum nitorem restituti, et commentariis illustrati. - [THE FOUNDING WORK ON HYDROSTATICS]‎

‎Bologna, Alessandreo Benacci, 1565. 4to. In contemporary blank cardboards with marbled paper back-strip. Ff 8-12 with small brown dot to lower outer margin, not affecting text. A fine copy. [4], 43 ff. + 1 blank. (Erroneously paginated f. 33 as 25 and f. 44 as 43).‎

‎First edition of Commandino's translation, and accompanying mathematical additions, of Archimedes' work on floating bodies, being the foundational work of hydrostatics. Commandino's own mathematical additions include the very first attempt to fill the gap in the incomplete proof of propositions 2 in book II of the Latin translation made by the Flemish Willem Moerbeke in 1269. ""This edition of Commandino remained the reference until the early twentieth century and the work of Heiberg after the discovery of the Archimedes palimpsest"". (D.B.I).""In hydrostatics [Archimedes] described the equilibrium of floating bodies and stated the famous proposition - known by his name - that, if a solid floats in a fluid, the weight of the solid is equal to that of the fluid displaced and, if a solid heavier than a fluid is weighed in it, it will be lighter than its true weight by the weight of the fluid displaced. We owe to Archimedes the full exposition of the doctrine of levers and pulleys."" (PMM, p. 44)The work consists of two parts: The first is to the effect that the pressure excerted by any part of a fluid on the fluid is downward. The second postulate states that the pressure of the fluid on a body placed in it is exerted upward along the perpendicular through the center of the body.However, Book II contained many sophisticated ideas and complex geometric constructions and did not have the appeal of Book I. Only after Greek geometry was combined with algebra, trigonometry, and analytical geometry, the present work being one of the earliest attempts to do this, and the field of mechanics reached the maturity to handle the concepts of equilibrium and stability that Archimedes introduced was Book II seriously studied. It then became the standard starting point for scientists and naval architects examining the stability of ships and other floating bodies.""Archimedes left to posterity his famous treatise ""On Floating Bodies"", which establishes the physical foundations for the floatability and stability of ships and other maritime objects. Yet since this treatise was long lost and also simply ignored by practitioners, it took many centuries before Archimedes' brilliant insights were actually applied in ship design and ship safety assessment."" (Nowacki, The Heritage of Archimedes in Ship Hydrostatics: 2000 Years from Theories to Applications).A Greek manuscript dating from about the ninth century and containing both books of On Floating Bodies was translated into Latin by the Flemish Dominican William of Moerbeke in 1269, along with other works of Archimedes from other manuscripts. The tracks of the Greek manuscript were lost in the fourteenth century, but Moerbeke's holograph remains intact in the Vatican library (Codex Ottobonianus Latinus 1850) [5, 8]. Moerbeke's Latin translation was the source of all versions of On Floating Bodies from his time until the twentieth century.""In 1543 Tartaglia [...] the Moerbeke translations of On the Equilibrium of Planes and Book I of On Floating Bodies (leaving the erroneous impression that he had made these translations from a Greek manuscript, which he had not since he merely repeated the texts of the Madrid manuscript with virtually all their errors). Incidentally, Curtius Trioianus published from the legacy of Tartaglia both books of On Floating Bodies in Moerbeke's translation (Venice, 1565). The key event, however, in the further spread of Archimedes was the aforementioned editio princeps of the Greek text with the accompanying Latin translation of James of Cremona at Basel in 1544. Since the Greek text rested ultimately on manuscript A,On Floating Bodies was not included. A further Latin translation of the Archimedean texts was published by the perceptive mathematician Federigo Commandino [...], which the translator supplemented with a skillful mathematical emendation of Moerbeke's translation of On Floating Bodies (Bologna,1565) but without any knowledge of the long lost Greek text."" (DSB)Adams, 1533 Riccardi, I, 42- 5Honeyman 131" Macclesfield 183D.B.I., XXVII, p. 604.Bibliotheca Mechanica 78Graesse I, 180.BM 000105842‎

Referenz des Buchhändlers : 52966

‎HJELTE, C.‎

‎Lærebog i den elementære Algorithmie eller Arithmetik og Algebra for Eleverne af det kongelige Landcadetacademie.‎

‎Kjøbenhavn, Schultz, 1841. Samtidigt hldrbd. i rød maroquin i gavebindsudstyr. Rig rygforgyldning, brede forgyldte borter på permer. Helt guldsnit. Smårevner ved false. XII,367 pp. Indvendig ren og frisk, trykt på velinpapir.‎

Referenz des Buchhändlers : 53023

‎SCHULZE, JOHANN CARL.‎

‎Neue und erweiterte Sammlung logarithmischer, trigonometrischer und anderer zum Gebrauch der Mathematik unentbehrlichen Tafeln. 2 Bde.‎

‎Berlin, August Mylius, 1778. 2 contemp. hcalf. Spines gilt. Tome-and titlelabels with gilt lettering. Spines rubbed. Stamp on title-pages.(2),VIII,(12),260,(48)(2),319 pp., 1 folded table. Internally fine.‎

Referenz des Buchhändlers : 53032

‎CRAMER, CHRISTIAN.‎

‎Colloqvium Arithmeticum, eller Veiviisning i Regnekonstens Grunde ved Spørgsmaal og Gjensvar... 3.Oplag.‎

‎Kiøbenhavn, Schultz, 1817. Samtidigt hldrbd. Forgyldt rygtitel. Kapitæler slidte. (6),127 pp. samt 1 tavle.‎

Referenz des Buchhändlers : 53079