‎Mathematics‎

‎"EULER, LEONHARD - FIRST ANNOUNCEMENT OF ""LAGRANGE'S EQUATION"".‎

‎Recherches sur le Mouvement des Rivieres.‎

‎(Berlin, Haude et Spener, 1767). 4to. No wrappers, as issued in ""Memoires de l'Academie Royale des Sciences et Belles-Lettres"" Tome XVI, pp. (101)-118. Clean and fine.‎

‎"EULER, LEONHARD - ON COMPOUND OBJECT-GLASSES.‎

‎Sur les Avantages des Verres Objectifs composés de deux Verres simples. (On the advantages of telescopic glasses built with two lenses)‎

‎(Berlin, Haude et Spener, 1769). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", Année 1762, tome XVIII, pp. 249-264 and 1 engraved plate.‎

‎"EULER, LEONHARD.‎

‎De Minimis oscillationibus Corporum tam rigidorum qvam flexibilium. Methodus nova et facilis. (On the smallest oscillations of rigid and flexible bodies. A new and easy method.)‎

‎(Petropoli, St. Petersburg, Typis Academiae, 1740). 4to. No wrappers. In: ""Classes Prima continens Mathematica. Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tomus VII ad Annum 1735, &..... Euler's paper: pp. 99-122 a. 2 engraved plates. Wide-margined, clean.‎

‎"EULER, LEONHARD.‎

‎Exposition de quelques paradoxes dans le calcul integral.‎

‎(Berlin, Haude et Spener, 1758). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome XI, 1756 pp. 300-321 and 1 folded engraved plate.‎

‎"EULER, LEONHARD.‎

‎Principes de la Trigonometrie Spherique tirés de la Méthode des plus Grands et plus Petits (Principles of spherical Trigonometry deduced from the Method of Maxima and Minima). (And same author:) Élémens de la Trigonometrie spheroidique tirés de la Met... - [EULER'S SPHERICAL GEOMETRY]‎

‎(Berlin, Haude et Spener, 1755). 4to. Without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome IX, pp. 223-257 and 1 folded engraved plate (a tear to plate, no loss), and pp. 258-293 and 1 folded engraved plate.‎

‎"EULER, LEONHARD.‎

‎Recherches sur la Déclination de L'Aiguille aimantée. (And:) Corrections Nécessaires pour la Théorie de la Déclination. (And the same author:) Sur la Force de Colonnes.(Research concerning the declination of the magnetized needle - The necessary corre...‎

‎(Berlin, Haude et Spener, 1759-68). 4to. Without wrappers extracted from ""Mémoires de l'Academie Royale des Science et Belles-Lettres"", tome XIII, pp. 175-251 and 4 folded engraved plates, tome XXII, pp. 213-264 and 2 engraved plates., tome XIII, pp.and 1 folded engraved plate.‎

‎"EULER, LEONHARD.‎

‎Recherches sur les plus Grand et plus Petits qui se trouvent dans les Actions des Forces.‎

‎(Berlin, Haude et Spener, 1750). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome IV, pp. 149-188 and 2 folded engraved plates..‎

‎"EULER, LEONHARD.‎

‎Sur la Probabilité des Séquences dans la Lotterie Génoise (On the Probability of Sequences in the genoise Lottery). - [THE GENOISE LOTTERY]‎

‎(Berlin, Haude et Spener, 1767). 4to. Without wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XXI, pp. 191-230.‎

‎"EULER, LEONHARD.‎

‎Sur une Contradiction apparente dans la Doctrine des Lignes courbes (On an apparent contradiction in the theory of curves) + (continuation:) Demonstration sur le Nombre des Points, ou deux Lignes des Ordres quelques peuvent se couper (A proof concerni...‎

‎(Berlin, Haude et Spener, 1750). 4to. No wrappers, as issued in ""Mémoires de L'Academie Royale des Sciences et Belles-Lettres"", tome IV, pp. (219)-233 and (234)-248.‎

‎"EULER, LEONHARD. - DEVELOPING THE TURBINE THEORY.‎

‎Recherches sur l'effet d'un machine hydraulique proposée par M. Segner, professeur à Goettingue. (Research concerning the effects of a hydraulic machine proposed by M. Segner, professor at Gottingen)‎

‎(Berlin, Haude et Spener, 1752). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome VI, Année 1750. Pp. 311-354 and 5 folded engraved plates.‎

‎"EULER, LEONHARD. - INTRODUCING ""THE EULER CONSTANT"" AND ""THE FUNCTION NOTATION""‎

‎De Linea celerrimi descensus in Medio qvocunqve resistente. (On the curve of fastest descent in whatever resistent medium). (+) De progressionibus harmonicis observationes. (On harmonic progressions). (+) De infinitis curvis iusdem generis seu methodu...‎

‎(Petropoli, St. Petersburg, Typis Academiae, 1740). 4to. No wrappers. In: ""Classes Prima continens Mathematica. Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tomus VII ad Annum 1735, &..... Euler's papers: pp. 135-149, 150-161, 174-183 a. 184-200 and 2 engraved plates. Clean and fine.‎

‎"EULER, LEONHARD. - THE EULER-FERMAT THEOREM PROVED.‎

‎De Superficie Conorum Scalenorum, aliorumqve corporum conicorum. (On the surface of scalene cones and of other conic bodies). (+) Theoremata circa divisores numerorum. (Theorems on divisors of numbers). (2 papers by Euler).‎

‎(Petropoli (St. Petersbourg), 1750). 4to. Uncut, without wrappers. Extracted from ""Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae"", Tom. I. ad Annum 1747 et 1748. Pp. 3-19 a. 1 engraved plate., and pp. 20-48.‎

‎"EULER, LEONHARD. - THE GAME PHARON.‎

‎3 works by Euler: Nouvelle Méthode d'Éliminer les Quantités inconnues des Equations. - Recherches sur les Microscopes a´Trois Verres et les Moyens de les Perfectionner. - Sur L'Avantage du Banquier au Jeu du Pharaon.‎

‎(Berlin, Haude et Spener, 1766). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", tome XX, pp. 91-164 (91-116" 117-143 "144-164). 1 engraved plate ( belonging to ""Microscope..."")‎

‎"EULER, LEONHARD. - THE OPTICAL THEORY OF COMPOUND LENSES FOR TELESCOPES AND MICROSCOPES.‎

‎Régles générales pour la Construction des telescopes et de Microscopes, de quelque nombre de Verres qu'ils soient composés. (Rules for the construction of telescopes and microscopes).‎

‎(Berlin, Haude et Spener, 1759). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", Année 1757, tome XIII, pp. a. 1 engraved plate.‎

‎"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

‎"FABER, G.‎

‎Über stetige Funktionen. (In ""Mathematische Annalen. 66. Band. 1909""). - [FIRST PUBLICATION OF THE 'HIERARCHICAL BASIS' WITHIN MATHEMATICS]‎

‎Berlin, Julius Springer, 1909. 8vo. Bound with the original wrappers in black full cloth. A small white barcode pasted on to top left corner of front board. Library stamp pasted on the pasted down front free end-paper and stamp to verso of title page. A very nice and clean copy. [Faber:] Pp. 81-94. [Entire issue: IV, 575, (1) pp.].‎

‎"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].‎

‎"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.‎

‎"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.].‎

‎First printing of this important paper which coined the term ""cumulant"" within probability theory and statistics.Cumulants were first introduced by the Danish mathematician and statistician Thorvald N. Thiele in 1889. He, however, called them ""half-invariants"", a name that was not to be used for them in the future. It was not until the present work by the great statistical geneticist Ronald Fisher and the famous statistician John Wishart (eponym of the Wishart distribution) that these ""cumulants"" were given their name, the name that we still use today. According to the historian Stephen Stigler, the name ""cumulant"" was suggested to Fisher by Harold Hotelling. In another paper published in 1929, Fisher had called them cumulative moment functions.The present volume contains many other interesting and important mathematical papers, e.g. Carmichael's ""Expansions of Arithmetical Functions in Infinite Series"" (vol. 34), Mulholland's ""The Generalization of Certain Inequality Theorems Involving Powers."" (vol. 33), etc., etc.‎

Bookseller reference : 42680

‎"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.].‎

‎"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...""‎

Bookseller reference : 45803

‎"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].‎

‎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 : 49645

‎"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