‎Mathematics‎

‎"FATOU, PIERRE.‎

‎Séries trigonométriques et séries de Taylor. - [FIRST APPEARANCE OF THE FATOU SET]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1906. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 30, 1906. Entire volume offered. Stamp to title page, otherwise a fine and clean copy. Pp. 355-400. [Entire volume: 6, 410 pp].‎

‎First appearance of Fatou's seminal Ph.D. thesis in which he presented his famous Fatou theorem, which state that a bounded analytic function in the unit disc has radial limits almost everywhere on the unit circle. This theorem was at the origin of a large body of research in 20th-century mathematics under the name of bounded analytic functions. Fatou set is the 'regular' appearance of the chaotic Julia set and both if these initiated what was to be known as ""complex dynamics"" which eventually resulted in the Mandelbrot set.Fatou's thesis also include the first application of the Lebesgue integral to concrete problems of analysis, mainly to the study of analytic and harmonic functions in the unit disc. He furthermore studied for the first time the Poisson integral of an arbitrary measure on the unit circle and also made a major contribution to finding a solution to the related question of whether conformal mapping of Jordan regions onto the open disc can be extended continuously to the boundary.""He contributed important results on the Taylor series, the theory of the Lebesgue integral, and the iteration of rational functions of a complex variable. When studying the circle of convergence of the Taylor series, several points of view are possible: (1) one can look for criteria of convergence or divergence of the series itself on the circumference" (2) one can consider the limit values of the circle of the analytic function represented by the series and try to determine where these limit values are finite or infinite, as well as the properties of the functions of the argument represented by the real and imaginary parts of the series when these functions are well defined" (3) one can consider what points on the circumference, singular in the Weierstrass sense, also determine the analytic extension of the series. The link between these problems led Fatou to formulate a fundamental theorem in the theory of the Lebesgue integral."" (DSB).‎

Bookseller reference : 49610

‎"FECHNER, G.TH.‎

‎Ueber den Ausgangswerth der kleinsten Abweichungssumme, dessen Bestimmung, Verwendung und Verallgemeinerung.‎

‎Leipzig, S. Hirzel, 1874. Small 4to. Orig. printed wrappers. (4),76 pp. Offprint from ""Des XI. Bandes d. Abh. d. math.-phys. Classe d. Königl. Sächsischen Gesells. d. Wissensch. No. I"" A few pencil underlinings, otherwise fine and clean.‎

‎First edition in the scarce offprint. Fechner is known as the founder of psychophysics, his theory of psycho-physical paralellism, as the first universal indeterminist and by the so-called ""Fecnner-Weber Law"". - Freud said:""I was always open to the Ideas of Fechner and have followed that thinker upon many importent points."" (Freud, 1925 p. 86).‎

Bookseller reference : 28831

‎"FISHER, R.A. and WISHART, J.‎

‎The Derivation of the Pattern Formulae of Two-Way Partitions from those of Simpler Patterns. [Received 28 November, 1930. - Read 11 December, 1930]. [In: Proceedings of the London Mathematical Society. Second Series. Volume 33]. - [COINING ""CUMULANTS""]‎

‎London, Hodgson & Son, 1932. Royal 8vo. Entire volumes 33+34 of ""Proceedings of the London Mathematical Society. Second Series"" bound together in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris (""Belford College. Univ. London"") to spine. Very minor bumping to extremities. Binding tight and in excellent, very nice, clean, and fresh condition in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-paper and to title-page of volume 33 (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-paper. Pp. 195-208. [Entire volumes: (´Vol. 33, 1932:) (4), 563, (1) pp." " (vol. 34, 1932:) (6), 562 pp.].‎

‎"FISHER, RONALD.‎

‎The Analysis of Variance with Various Binomial Transformations.‎

‎(No place, Oxford University Press, 1954). 8vo. Stapled. Extracted from ""Biometrika"", 1954. before being bound. Presumingly serving the purpose of an offprint. A very fine a clean copy, near mint. Pp. 130, (1), 131-139.‎

‎"FLORIJN, JACOB.‎

‎Verhandeling over het Sommeren en Interpoleren van arithmetische Serien.‎

‎Amsterdam, Hengst en Zoon, 1816. 4to. No wrappers as issued. (4),68 pp. Offprint from ""Koninklijk Nederlandsch Institut van Wetenschappen, Letterkune...""‎

‎"FOURIER, (JEAN BAPTISTE JOSEPH).‎

‎Analyse des Équations Déterminées. Premiere Partie (Livre Premiere- Deuxieme, all published). - [FOURIER'S THEORY OF EQUATIONS]‎

‎Paris, Firmin Didot Frères, (1830) 1831. 4to. Contemp. hcalf. Richly gilt spine. A paperlabel pasted on top of spine. (4),XXIV,258 pp. and 1 folded engraved plate. A few minor brownspots. A fine, wide-margined copy.‎

‎"FOURIER, (JEAN BAPTISTE JOSEPH). - TOWARDS THE ANALYTICAL THEORY OF HEAT.‎

‎7 Papers on Radiant Heat: 1. Théorie de la chaleur (Extrait) - 2. Note sur la Chaleur rayonnante. - 3. Sur la Théorie-Physique de la Chaleur rayonnante. - 4. Extrait d'un Mémoire sur la Refroidissement séculaire du globe terrestre. - 5. Remarques géné... - [THE GREEN-HOUSE EFFECT]‎

‎(Paris, Crochard, 1816, 1817,1817,1820, 1824, 1824, 1825). Without wrappers as issued in: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."". Vol. 3, pp. 350-375. - Vol. 4, pp. 128-145. - Vol. 6, pp. 259-303. - Vol. 13, pp. 418-38. - Vol. 27, pp. 136-167. - Vol. 27, pp. 236-281. - Vol. 28, pp. 337-365.‎

‎"FREDHOLM, IVAR.‎

‎Sur les équations de l'équilibre d'un corps solide élastique. - [FREDHOLM'S DOCTORAL DISSERTATION]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1900. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 23, 1900. Entire volume offered. Stamps to title page and wear to extremities, otherwise a fine and clean copy. Pp. 1-42.[Entire volume: (4), 416 pp].‎

‎"FREDHOLM, IVAR.‎

‎Sur les équations de l'équilibre d'un corps solide élastique. - [FREDHOLM'S DOCTORAL DISSERTATION]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1900. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 23, 1900. Entire volume offered. Stamps to title page and wear to extremities, otherwise a fine and clean copy. Pp. 1-42.[Entire volume: (4), 416 pp].‎

‎First appearance of Fredholm's doctoral thesis (finish in 1898 but not published till 1900) and his first major work in partial differential equations. His doctoral dissertation involved a study of partial differential equations, the study of which was motivated by an equilibrium problem in elasticity. He solved his operator equation in the particular cases which arise in the study of the physical problem in his thesis (and in the paper which appeared in 1900 based on that thesis)""Fredholm's first major work was in partial differential equations. His doctoral thesis, written in 1898 and published in 1900, involved the study of the equation-written in Fredholm's own operator notation. [...] This equation is significant because it occurs in the study of deformation of anisotropic media (such as crystals) subjected to interior or exterior forces. Initially, Fredholm solved only the particular equations associated with the physical problem"" in 1908 he completed this work by finding the fundamental solution to the general elliptical partial differential equations with constant coefficients."" (DSB).‎

Bookseller reference : 49773

‎"FREDHOLM, IVAR.‎

‎Sur une classe d'equations fonctionnelles. - [ANTICIPATION OF HILBERT SPACES]‎

‎Stockholm, Beijer, 1903. 4to. As extracted from ""Acta Mathematica, 27. Band]. No backstrip. Fine and clean. Pp. 365-390.‎

‎First printing of Fredholm's landmark paper which is considered to be the publication which established operator theory, thereby anticipating Hilbert Spaces. David Hilbert developed the abstraction of Hilbert space in association with research on integral equations prompted by Fredholm's.‎

Bookseller reference : 45837

‎"FREGE, GOTTLOB.‎

‎The Thought: a Logical Inquiry (Translated by A.M. and Mercelle Quinton). (In: Mind. A quarterly Review of Psychology and Philosophy. Edited by Gilbert Ryle. Vol. LXV. No. 259. July, 1956). + Negation. Translated by P.T. Geach. (In: Translations from ... - [THE LOGICAL INVESTIGATIONS]‎

‎Edinburgh & Oxford, 1952, 1956 + 1963. All three articles are present in the entire orig. volumes, all in the orig. wrappers. The two volumes of ""Mind"" are in the orig. printed grey wrappers and the ""Philosophical Essays"" is in the orig. green full cloth w. the orig. d-j. in very good condition w. only a few smaller tears to upper capital and upper front wrapper, not price-clipped. Internally mint. Mind Vol. LXXII, No. 285 w. a tear to back, else very fine. Mind Vol. LXV, No. 259 w. some signs of wear, especially to extremities, but a fine and internally very clean copy.‎

‎This set comprises the entire ""Logische Untersuchungen"" in the first English language translations. In the foreword to ""Compound Thoughts"", the translator notes: ""This article, entitled ""Logische Untersuchungen. Dritter Teil: Gedankenfüge"", was published in the ""Beiträge zur Philosophie des deutschen Idealismus, III (1923), 36-51. The first two parts of these ""logical investigations"" were ""Der Gedanke"" (Beiträge I (1819), trans. ""The Thought"" in MIND LXV (1956) ) and ""Die Verneinung"" (Beiträge I (1919), trans. ""Negation"" in Geach and Black (ed.) ""Translations from the Philosophical Writings of Gottlob Frege.""). The three articles that constitute the Logical Investigations are some of the most important, influential and widely discussed of Frege's philosophical papers. In 1875 the entire ""Logical Investigations"" appeared together in English translation for the first time. It was Frege's wish that these three articles were viewed as a whole and published together under the title of ""Logische Untersuchungen"", now considered a work of the utmost importance. These three volumes also comprise many other articles by Frege in the first English translations (in Translations from the Philosophical Writings of Gottlob Frege) as well as original contributions by P.T. Geach: ""On Frege's Way Out"" (in Mind Vol. LXV, No. 259. and ""Mr. Strawson on Symbolic and Traditional Logic"" (in Mind Vol. LXXII, No. 285).Friedrich Ludwig Gottlob Frege (1848 - 1925) was a German mathematician, but his main contributions lie in his becoming a logician and a philosopher, who influenced the fields of logic and analytic philosophy immensely. Together with Wittgenstein, Russel and Moore, Frege is considered the founder of analytic philosophy, and a main founder of modern mathematical logic. His influence on 20th century philosophy has been profound, especially in the English speaking countries from the middle of the 20th century and onwards" in this period most of his works were translated into English for the first time.The philosophical papers of Frege were published in Germany in scholarly journals, which were barely read outside of German speaking countries. The first collections of his writings did not appear untill after the the Second World War, and Frege was little known as a philosopher during his lifetime. He greatly influenced the likes of Russel, Wittgenstein and Carnap, though, and bears a great responsibility for the turn modern philosophical thought has taken. Due to his contributions to the philosophy of language, analytic philosophy could be founded as it were.‎

Bookseller reference : 31618

‎"FUSS, NICOLAUS (NIKOLAI IVANOVICH FUS). - A PRIZE WINNING MEMOIR ON COMETS.‎

‎Recherches sur le Dérangement d'une Comète qui passe prés d'une Planete.‎

‎(Paris, Moutard, 1785). 4to. Extracted from ""Mémoires fe Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome X. Pp. 1-64 (having its own titlepage). 1 folded engraved plate. Wide-margined, clean and fine.‎

‎"Gardner Martin"‎

‎The Scientific American Book of Mathematical Puzzles & Diversions‎

‎New York: Simon & Schuster 1959. "First Edition First Printing". Hardcover. Very Good/Good -. Cream cloth covers with black lettering and red designs on spine; Dark Brown Endpapers; Book interior is clean and tight; top book edge is stained red by publisher and has faded; covers are soiled from age and use; 8vo; 178 pages including reference for further reading; illustrated; dustjacket is protected by a mylar wrapper; front dustjacket panel has some scuffing and a chip and closed tear at bottom edge; dustjacket corners are rubbed and upper spine end has creasing and small chips; rear dustjacket panel has a small closed tear at top and bottom edge and creasing with a closed tear at upper right corner; white background of dustjacket shows moderate soiling; spine has sunned <br/><br/>0.83#; P3; Simon & Schuster hardcover‎

Bookseller reference : 20060220

‎"GAUSS, CARL FRIEDRICH‎

‎Theoria motus corporum coelestium in sectionibus conicis solem ambientium. - [THE METHOD OF LEAST SQUARES REVEALED]‎

‎Hamburg, Frid. Perthes & I.H. Besser, 1809. 4to (224 x 261 mm). In a later full cloth binding with gilt lettering to spine and blindtooled borders to boards. Very few occassional brownspots. A fine and clean copy. [Blank], XI, (1), 227, (1), 20, [blank] pp. + 1 folded plate.‎

‎First edition of this epochmaking work in mathematical statistics and mathematical and computational astronomy. Here, Gauss revealed for the first time his method of least squares which became “the dominant theme – the leitmotif – of nineteenth-century mathematical statistics” (Stigler, p. 11). Together with his ‘Disquisitiones Arithmeticae’ this work “established his reputation as a mathematical and scientific genius of the first order.” (DSB) Here he presented “an analysis of the problems arising in the determination of the motions of the planets and comets from a limited number of observational data"" (PMM 257 note). ""In this work Gauss systematically developed the method of orbit calculation from three observations he had devised in 1801 to locate the planetoid Ceres, the earliest discovered of the 'asteroids,' which had been spotted and lost by G. Piazzi in January 1801."" (Norman 879). On January 1, 1801, the Italian astronomer Giuseppe Piazzi discovered the planetoid Ceres, but could only observe it for few days before it was lost in the glare of the Sun until the end of the year. After so many months of not being observed it was not possible to calculate with existing methods at which position it should reappear. Gauss, however, at an age of 24, astounded the world, when in December of that same year he predicted the exact location at which Ceres could again be observed. He did not reveal how he had calculated the orbit of Ceres. Only in 1809, when Gauss published his second book ""Theoria motus corporum coelestium in sectionibus conicis solem ambientium"" (the offered item), did he reveal his new method of orbit calculation. In the first part he dealt with differential equations, conic sections and elliptic orbits, while in the second part, the main part of the work, he showed how to estimate and then to refine the estimation of a planet's orbit using a new method involving minimizing the sum of squared residuals, i.e. the method of least squares. He was able to prove the correctness of the method under the assumption of normally distributed errors. It is here that the Gaussian curve, expressing statistical distribution in probability, makes its first appearance. Sparrow 81. Barchas 792.Norman 879. Dibner 114n. PMM 257 (Mentioned in note). Hald: History of Mathematical Statistics 1750-1930, pp.351-357.‎

Bookseller reference : 60237

‎"GAUSS, CARL FRIEDRICH & NIELS HENRIK ABEL - ANNOUNCING ""THE PRINCIPLE OF LEAST CONSTRAINT"".‎

‎Über ein neues allgemeines Grundgesetz der Mechanik (Gauss) + (Abel:) Précis d'une théorie des fonctions elliptiques + Précis dúne théorie des fonctions elliptiques. (Suite du mémoire 19. cah. dern.). 3 Memoirs.‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. - Gauss' paper: pp. 232-35. - Abel's papers: pp. 236-278 and pp. 309-348.‎

‎"GAUSS, CARL FRIEDRICH.‎

‎Abhandlungen zur Methode der kleinsten Quadrate. In deutscher Sprache herausgegeben von A. Börsch und P. Simon.‎

‎Berlin, P. Stankiewicz, 1887. Cont. hcloth, rebacked with old spine preserved and with original printed wrappers pasted on covers. V,(2),290 pp. A few pencil underlinings.‎

‎First German edition of Gauss' ""Theoria Combinationis observationum erroribus minimis obnoxiae"" (2819-22) and with 7 supplements on the ""method of least squares"" from Gauss' other writings.‎

Bookseller reference : 30702

‎"GAUSS, CARL FRIEDRICH.‎

‎Demonstratio Nova Theorematis Omnem Functionem Algebraicam Rationalem Integram unius Variabilis in Factores Reales Primi vel Secundi Gradus resolvi posse (i.e. English: ""A new proof of the theorem that every integral rational algebraic function of one... - [GAUSS'S DOCTORAL THESIS - HIS FIRST GREAT WORK]‎

‎Helmstadt, C. G. Fleckeisen, 1799. 4to. Bound uncut in a very nice recent pastiche-binding in brown half calf with elaborately gilt spine and marbled paper covered boards. With repair to title-page, not affecting text. Small restorations to upper margin of leaf A2 and A3. Brownspotted throughout. 39, (1) pp. + engraved plate.‎

‎Rare first edition of Gauss's first book in which he proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. Gauss received his doctorate degree for this work, which is considered his first great work. It marks the beginning of an extraordinary ten years often referred to as his 'Triumphal Decade' with landmark achievements such as the publication of 'Disquisitiones Arithmeticae' and the calculation of the orbit of the newly discovered planet Ceres. On june 16, 1799, even before the thesis was published, Gauss was awarded the title Doctor Philosophiae after the usual requirements of an oral examination, particularly tedious to Gauss, was dropped. In a letter to Bolyai, Gauss's close friend, Gauss described his thesis: ""The title describes the main objective of the paper quite well though I devote to it only about a third of the space. The rest mainly contains history and criticisms of the works of other mathematicians (name d'Alembert, Bougainville, Euler, de Foncenex, Lagrange, and the authors of compendia - the latter will presumably not be too happy) about the subject, together with diverse remarks about the shallowness of contemporary mathematics"" ""Professor Pfaff, Gauss's formal research supervisor, shared with Gauss an interest in the foundations of geometry, but it is mere speculation that the two discussed this topic. Gauss's dissertation is about the fundamental theorem of algebra. The proof and discussion avoid the use of imaginary quantities through the work is analytic and geometric in nature"" its underlying ideas are most suitably expressed in the complex domain. Like the law of quadratic reciprocity, the fundamental theorem of algebra was a recurring topic in Gauss's mathematical work - in fact, his last mathematical paper returned to it, this time explicitly using complex numbers."" (Gauss, A Biographical Study, p. 41). ""There is only one thing wrong with this landmark in Algebra. The first two words in the title would imply that Gauss had merely added a 'new' proof to others already known. He should have omitted ""nova"". His was the first proof . Some before him had published what they supposed were proofs of this theorem - usually called the fundamental theorem of algebra - but logical and mathematical rigor Gauss insisted upon a proof, and gave the first"" (Bell, Men of Mathematics, p. 32) ""Gauss ranks, together with Archimedes and Newton, as one of the greatest geniuses in the history of mathematics."" (Printing & the Mind of Man). Dibner 114‎

Bookseller reference : 59012

‎"GAUSS, CARL FRIEDRICH.‎

‎Recherches Arithmétiques. Traduites par A.-C.-M. Poullet-Delisle. - [FIRST TRANSLATION OF THE DISQUISITIONES ARITHMETICAE]‎

‎Paris, Courcier, 1807. 4to.(248x208mm.). A little later half calf binding with richly gilt back. XX,(2),502 pp.(incl. htitle and Errata). Light browning to first and and last leaves. A good copy with broad margins.‎

‎"GAUSS, CARL FRIEDRICH. - THE CALCULUS OF VARIATIONS.‎

‎Principia generalia theoriae figurae fluidorum in statu aequilibrii.‎

‎(Göttingen, Dieterich, 1830). 4to. Partly uncut. Spine closed with paperlabel. In: ""Commentarii Societatis Regiae Scientiarum Gottingensis. Classes Mathematica"", Bd. VII. Pp. (39-) 88. Clean and fine.‎

‎First appearance of an importent paper in which Gauss introduced a new method in the calculus of variations and a mathematical treatment of forces of attraction.Gauss had worked on physics already before 1831, publishing ""Uber ein neues allgemeines Grundgesetz der Mechanik"" , which contained the principle of least constraint, and ""Principia generalia theoriae figurae fluidorum in statu aequilibrii"" which discussed forces of attraction. These papers were based on Gauss's potential theory, which proved of great importance in his work on physics. He later came to believe his potential theory and his method of least squares provided vital links between science and nature.""In 1830 appeared Principia generalia theoriae figurae fluidorum in statu aequilibrii, his one contribution to capillarity and an important paper in the calculus of variations, since it was the first solution of a variational problem involving double integrals, boundary conditions, and variable limits.""(DSB).Dunnington, no. 95.- The memoir was reprinted in Ostwald's Klassiker No. 135.‎

Bookseller reference : 44965

‎"GAUSS, CARL FRIEDRICH. - THE METHOD OF LEAST SQUARES IN GERMAN.‎

‎Theorie der Bewegung der Himmelskörper welche in Kegelschnitten die Sonne umlaufen. Ins Deutsche übertragen von Carl Haase. Mit einem Anhange sowie mit einer photographisches Abbildung...Gauss-Medaille...Facsimile der Gauss'schen lateinischen und deut...‎

‎Hannover, Carl Meyer, 1865. 4to. Contemp. modest hcloth. 2 orig. photographs mounted as frontispiece (Gauss-medal). 279,72,(2) pp. 3 plates, 6 tables. Internally clean.‎

‎First German edition of this milestone in mathematical statistics, first published in Latin as ""Theoria motus corporum coelestium in sectinibus conicis solem ambientum. 1809."" - In this work Gauss revealed for the first time his method of least squares. On January 1, 1801, the Italian astronomer Giuseppe Piazzi discovered the planetoid Ceres, but could only observe it for few days before it was lost in the glare of the Sun until the end of the year. After so many months of not being observed it was not possible to calculate with existing methods at which position it should reappear. However Gauss, at an age of 24, astounded when he in December predicted the exact location at which Ceres again could be observed. Gauss did not reveal how he had calculated the orbit of Ceres. First in 1809 Gauss published his second book ""Theoria motus corporum coelestium in sectionibus conicis solem ambientium"" (the offered item) in which he revealed his new method of orbit calculation. In the first part he dealt with differential equations, conic sections and elliptic orbits, while in the second part, the main part of the work, he showed how to estimate and then to refine the estimation of a planet's orbit using a new method involving minimizing the sum of squared residuals, e.g., the method of least squares. He was able to prove the correctness of the method under the assumption of normally distributed errors. It is here that the Gaussian curve, expressing statistical distribution in probablility, makes its appearance. This work, along with the 'Discuisitiones', was the fruit of the triumphal decade in Gauss' life and established his reputation as a mathematical and scientific genius of the first order. Hald: History of Mathematical Statistics 1750-1930, pp.351-357.‎

Bookseller reference : 38464

‎"GORDAN, P.‎

‎Ueber einen Satz von Hilbert. - [COINING ""HILBERT'S THEOREM""]‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 42. Band. 1. Heft."" Entire issue offered. Library-stamp to verso of title page. A fine and clean copy. [Gordan:] Pp. 132-42. [Entire issue: IV, 152 pp.].‎

‎"GORDAN, PAUL.‎

‎Die partiellen Differentialgleichungen des Valentinerproblems.‎

‎Leipzig, B. G. Teubner, 1906. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 61. Band, 4. Heft, 1906"". Fine and clean. [Gordan:] Pp. 453-526. [Entire issue: Pp. 453-560]. Attached is, also in the original wrappers ""Verzeichnis Mathematischer Modelle"". 28, (4) pp.‎

‎"GORDAN. [PAUL ALBERT].‎

‎Die Simultanen Systeme binärer Formen. - [GORDAN ON BINARY FORMS]‎

‎Leipzig, B. G. Teubner, 1870. 8vo. Bound with the original wrappers in black full cloth with gilt lettering to spine. In ""Mathematische Annalen, 2. band, 1870"". Entire issue offered. Two library labels pasted on to pasted down front free end-paper and library stamt to verso of title page. [Gordan:] Pp. 227-280. [Entire issue: IV, 649, (1), pp.].‎

‎"GRAFFENRIED, JOHAN RUDOLFF von.‎

‎Arithmeticae Logisticae. Popularis Libri IIII. In welscher der Algorithmus in ganzen Zahlen und Fracturen/ sampt der Proportionen... Allen freyen Mathematischen Kunstbegierigen/ und jedermenniglich zu gutem auss den fürnembsten Authoren zusammen getra...‎

‎Bern, Abraham Weerli, (1618) - 1619. 4to. Contemporary full calf binding with brass clasps. Five raised bands and single gilt line-ornamentation to back. Single gilt line-borders to boards. Professional, very neat restorations to back. Some browning and a, mostly marginal, damp-stain to first leaves, but overall a very nice and attractive copy. Many diagrams and computations in the text. Title-page in red and black, with woodcut ornamental border. Woodcut title-pages to second, third, and fourth parts (all part of the collation, all dated 1618). 1/3 page woodcut at end. (56), 704, (16) pp. + two folded diagrams.‎

‎"GREEN, GEORG.‎

‎Ein Versuch die Mathematische Analysis auf die Theorieen der Elektricität und Magnetismus anzuwenden. (Veröffentlich 1828 in Nottingham.). Hrs. von A.J. von Oettingen und A. Wangerin.‎

‎Leipz, Wilhelm Engelmann, 1895. Orig. printed boards. Spine ends worn. 140 pp. (Ostwald's Klassiker der exacten Wissenschaften. Nr.61).‎

‎First German edition of Greens importent work on themathematication of electricity and magnetism from 1828, in which he published the ""Green Theorem"", -""Although published very obscurely, this book became recognized as a major text in potential theory after gaining publicity from the 1850s. The integral theorem and function which came to carry Green's name gained special attention.""(Grattan-Guiness).‎

Bookseller reference : 39705