‎Mathématiques‎

‎PASTON, TIM AND IAN STEWART.‎

‎Catastrophe Theory and its Applications.‎

‎London, San Francisco, (1978). 4to. Orig. boards with dustjacket.‎

Referentie van de boekhandelaar : 36671

‎JACOBSON, NATHAN.‎

‎Lectures in Abstract Algebra. 2 vols. (I. Basic Concepts. - 2. Linear Algebra).‎

‎Princeton, Van Nostrand, (1960). 2 orig. full cloth. XII,217280 pp. Fine and clean.‎

Referentie van de boekhandelaar : 36774

‎COHEN, PAUL J.‎

‎The Independence of the Continuum Hypothesis, Part I-II [In: Proceedings of the National Academy of Sciences, volume 5051, pp.1143-1148105-110] + Set Theory and the Continuum Hypothesis. - [THE AXIOM OF CHOICE AND THE CONTINUUM HYPOTHESIS]‎

‎Washington, 1963-64. 8vo. The two complete volumes 50 and 51 of the 'Proceedings of the National Academy of Sciences' in contemporary half cloth bindings + original printed wrappers.‎

‎First editions. In this work Cohen established the independence of the Axiom of Choice (AC) from ZF and the independence of the Continuum Hypothesis (CH) from ZFC. This result is among the most outstanding achievements in 20th century mathematics. For this work Cohen was awarded the Fields Medal in 1966 and the National Medal of Science in 1967 the 1966 Fields Medal continues to be the only Fields Medal to have been awarded for a work in mathematical logic.‎

Referentie van de boekhandelaar : 36938

‎BOREL, ÉMILE.‎

‎Principes et Formules classiques de Calcul des Probabilités. Deuxieme edition.‎

‎Paris, Gauthier-Villars, 1947. Orig. printed wrappers. XIV,161,(2) pp.‎

Referentie van de boekhandelaar : 37094

‎BOREL, ÉMILE.‎

‎Le Hasard.‎

‎Paris, Felix Alcan, 1928. Bound with orig. printed wrappers in solid private hcloth. IV,312 pp.‎

Referentie van de boekhandelaar : 37112

‎TALBOT, A. (ED.).‎

‎Aprroximation Theory. Proceedings of a Symposium held at Lancaster, July 1969.‎

‎LOndon: Academic Press, 1970 8vo. Publishers full cloth with dust jacket. VIII,356 pp.‎

Referentie van de boekhandelaar : 37439

‎LANCE, G.N.‎

‎Numerical Methods for High Speed Computers.‎

‎London: Iliffe & Sons, 1960. 8vo. Publishers full cloth. 166 pp.‎

Referentie van de boekhandelaar : 37442

‎HOUSEHOLDER, ALSTON S. & HERBERT D. LANDAHL.‎

‎Mathematical Biophysics of The Central Nervous System.‎

‎Bloomington: The Principia Press, 1945. Royal8vo. Publishers full cloth.‎

‎Mathematical Biophysics Monograph Series, No. 1.‎

Referentie van de boekhandelaar : 37444

‎NICHLIN, S.G.‎

‎Numerische Realisierung von Variationsmethoden.‎

‎Berlin: Akademie Verlag, 1969. 8vo. Publishers full cloth with dust jacket. XII,343,(1) pp.‎

Referentie van de boekhandelaar : 37446

‎HILBERT, D. und W. ACKERMANN.‎

‎Grundzüge der theoretischen Logik. Vierte Auflage.‎

‎Berlin, Göttingen..., Springer-Verlag, 1959. Orig. full cloth. VIII,188 pp. A few underlinings and notes.‎

Referentie van de boekhandelaar : 37513

‎HUSSERL, EDMUND.‎

‎Logische Untersuchungen. Zweite, umgearbeitete Auflage. 2 Bde. Erster Band: Prolegomena zur reinen Logik. Zweiter Band: ErsterTheil: Untersuchungen zur Phänomenologie und Theorie der Erkenntnis, Zweiter Theil: Elemente einer phänomenologischen Aufklär... - [THE FOUNDATION OF PHENOMENOLOGY]‎

‎Halle, Niemeyer, 1913 (Vol.1 and vol. 2, I) - 1921 (Vol 2, II). Royal 8vo. Bound in three original uniform black half cloth bindings w. gilt titles to spines. Gilding on vol. one worn off. Vol. one w. a repaired tear to spine. Vol. 2, II weak at inner front hinge. Overall traces of wear. Internally a nice and clean set. XXII, 257, (1) XI, (1), 508" XIII, (1), 244 pp.‎

‎The uncommon second edition (Zweite Auflage) of Husserl's main work, one of the most important philosophical works of the 20th century. The ""Logical Investigations"" fundamentally changed philosophy and invoked the new philosophical era of the 20th century, -with this work Husserl founds phenomenology. Together with Heidegger's ""Sein und Zeit"" this must be considered the most important work of modern philosophy. The work was originally published 1900-1901, and the first edition is very difficult to come by. The second edition, which is enlarged and revised, is also not common.Husserl opens this fundamental work by attacking psychologism, and he then introduces his brand new philosophical method, which he had still by then not fully developed, but which came to influence all philosophy ever since -Phenomenology! Husserl himself calls this a ""Work of Breakthrough"" (see his preface to the second edition).In short, psychologism taught that logic itself was not an independent discipline, but a part of psychology, and it is this notion that Husserl gives its final blow in his logical investigations, -far more definitely than Frege had tried to some years earlier. Husserl now establishes a philosophy that asks the question of the essence of the matter of perception as opposed to the form of perception, as well as the meaning of the difference between formal or pure and material laws, truths and determinations, -all based on his strong interest in the relationship between the formalities of arithmetic and of logic. The work is the starting point for mereology, the formal first order theory of wholes and their parts. Mereology is both an application of predicate logic and a branch of formal ontology.Husserl is now famous as the father of phenomenology, and he decisively influenced the likes of Heidegger, Sartre, Carnap, Merleau-Ponty, Levinas, Ricoeur, Derrida etc. etc.‎

Referentie van de boekhandelaar : 37530

‎NICOD, JEAN.‎

‎Foundations of Geometry & Induction. Containing Geometry in the Sensible World and The Logical Problem of Induction. With a Preface by Bertrand Russell & André Lalande.‎

‎London, Routledge & Kegan Paul, (1950). Orig. full cloth. 286 pp.‎

Referentie van de boekhandelaar : 37591

‎"QUINE, WILLARD ORMAN VAN.‎

‎A System of Logistic. - [MAGNIFICENT PRESENTATION-COPY]‎

‎Cambridge, Massachusetts, Harvard University Press, 1934. Original full red cloth with gilt line-borders to boards, original dust-jacket, somewhat worn, with a red label over the price and chips and nicks to extremities. Minor loss to corners of dust-jacket, and a large loss of upper part of spine of dust-jacket (ca. 6 x 2 cm), thus lacking the title to spine of dust-jacket, and leaving the cloth of the same part of the spine sunned and the gilding of the title on spine almost faded off. Some soiling to dust-jacket. Internally nice and clean. X, (2), 204 pp.‎

‎An excellent presentation copy of this scarce first edition of the great logician's first book, which is the published version of his doctoral thesis, hailed by Whitehead as a landmark in the history of symbolic logic.Inscribed by Quine ""To F. Gomes Cassidy, historian of/ languages, from Van Quine, manu-/ facturer of one. Mathematical/ truth is linguistic convention,/ and logic is the [four Chinese characters]"".Frederic Gomez Cassidy (1907-2000) was a great capacity within wold language scholarship and a close friend of Quine, whom he had known since school and been to Oberlin College with. He was a talented linguist specialized in Early English, Creoles, Lexicography, and American language, who is now primarily famous for his lately begun monumental project, the ""Dictionary of American Regional English"" (known as DARE). Cassisy was born in Jamaica to a Canadian father and a Jamaican mother and grew up hearing their varieties of standard British English as well as the Cleole variety of the Black majority. When Cassidy was eleven years old, the whole family moved to Ohio. ""Here the young Jamaican was introduced to yet another variety of English and was dismayed to learn that it was he who sounded ""funny."" But that distinction was to have a significant benefit. It piqued the curiosity of a classmate who sought to know and befriend the boy who looked, acted, and sounded so different. That classmate was Willard Van Orman (""Van"") Quine, later to become one of America's most distinguished philosophers. The friendship he and Fred began as boys was to last their lifetimes, nourished by shared experiences at Oberlin College, regular correspondence through the decades, and frequent summer hiking trips."" (Memorial Resolution of the Faculty of the University of Wisconsin-Madison on the Death of Professor Emeritus Frederic Gomes Cassidy). The time at Oberlin College was of specific joy to him, and it was here he came to explore his interest in languages, philosophy, and science. He obtained his BA in 1930 and his MA, also at Oberlin, in 1932, and in 1938 he was given his PhD from the University of Michigan. Quine graduated from Oberlin College in 1930. He then won a scholarship to study for his doctorate at Harvard University, where he wrote the important thesis that was to constitute his first book. Quine's supervisor at Harvard was Alfred North Whitehead, who has also written the Foreword to his first book and who introduced him to Bertrand Russell, who visited Harvard during this time. From then on, Quine kept an ongoing correspondence with Russell. Quine finished his doctorate in two years and was awarded his Ph.D. in philosophy from Harvard in 1932. After that he received a travelling fellowship, which he used to travel to Vienna, where he got acquainted with the members of the Vienna Circle. During his travels he also met Gödel and Ayer. In Warsaw he spent six weeks with Tarski, and in Prague he studied under Carnap, who greatly inspired him. After his year of travelling, he returned to Harvard, where he published the present version of his doctoral dissertation, his first book.""In this book Dr. Quine has effected an extension of the scope of Symbolic Logic. The advance is more than an improvement in symbols. It extends to fundamental notions. He has introduced a generality adequate to the complexity of the subject matter"" and the symbolism embodies the generality of its meaning. I have no hesitation in stating by belief that Dr. Quine's book constitutes a landmark in the history of the subject."" So Whitehead writes in his Foreword (p. (IX) ). The logic that Quine takes into consideration is that of Russel and Whitehead's ""Principia Mathematica"", and when Whitehead towards the end of the Foreword states that ""Dr. Quine does not touch upon the relationship of Logic to Metahysics. He keeps strictly within the boundaries of his subject. But - if in conclusion I may venture beyond these limits - the reformation of Logic has an essential reference to Metaphysics. For Logic prescribes the shapes of metaphysical thought"" (p. X), the metaphysics he is talking about is nominalism. For Russell and Whitehead, Quine's work represented an unusual illustration of their own logic.The work was also under much influence of the Polish logicians, and as Whitehead concludes in his Foreword, ""it is interesting to note the influence of of the work of Professor H. M. Scheffer, and of the great school of Polish mathematicians. There is continuity in the progress of ordered knowledge."" (P. X).‎

Referentie van de boekhandelaar : 37638

‎EUCLID (EUKLID) OF ALEXANDRIA.‎

‎Euclidis Elementorum libri XV. Una cum scholiis antiqvis a Federico Commandino Urbinate in latinum conuersi. Ac nuper a multis mendis quibus antea scatebat vendicati....‎

‎Pisavri (Pesaro), Typis Flaminij Concordiæ, 1619. Folio. Contemp. hcalf. Fronthinge nearly broken, but still holding. Titlepage in red a. black. (8) of 10 leaves, lacking first leaf of the foreword and last leaf of Index. Text complete. 255 leaves with many figures in the text. First 16 leaves with some browning and foxing in lower right corners. 5 leaves mended, no loss of text and 8 with smaller repairs, no loss. A few annotations in margins in old hand.‎

‎Scarce second (expanded) edition of Federico Commandino's importent translation of the Elements. Commandino's first translation was published in 1572, and this translation was made use of by subsequent editors for centuries. The first Italian translation was also done from the Latin text of Commandino. - Riccardi 1619,2. - Max Steck: IV 19.‎

Referentie van de boekhandelaar : 37801

‎PÓLYA, G. und G. SZEGÖ.‎

‎Aufgaben und Lehrsätze aus der Analysis. 2 Bde. (1. Reihen. Integralrechnung. Funktionentheorie - 2. Funktionentheorie. Nullstellen. Polynome. Determinanten. Zahlentheorie.‎

‎Berlin, Göttingen, Heidelberg. Springer-Verlag, (1954). 2 orig. full cloth. XVI,338X,407 pp.‎

Referentie van de boekhandelaar : 37836

‎KOWALEWSKI, GERHARD.‎

‎Einführung in die Analytische Geometrie. Dritte, unveränderte Aufl.‎

‎Berlin, Walter de Gruyter, 1929. Orig. full cloth. A small tear at upper part of fronhinge. (8),360 pp., 112 textdiagrams. Clean and fine.‎

Referentie van de boekhandelaar : 37842

‎CARNAP, RUDOLF.‎

‎Einführung in die symbolische Logik mit besonderer Berücksichtigung ihrer Anwendungen. Zweite neubearbeitete und erweiterte Auflage. Mit 5 Textabbildungen. - [MAX BLACK'S COPY]‎

‎Wien, Springer=Verlag, 1954. 8vo. Orig. grey cloth w. blue lettering, capitals a bit bumped" orig. white and black dust-jacket w. some soiling, and a bit of loss to upper capital. X, 209, (1), (2, -advertisements) pp.‎

‎Second issue of Carnap's important Introduction to Symbolic Logic with Applications, which constitutes a highly important introduction to this foundational science of the 20th century, Max Black's copy with his signature to front free end-paper.""Die symbolische Logik ist eine Grundlagenswissenschaft ersten Ranges geworden, deren Bedeutung heute vor allem in angelsächsischen Ländern eingeschätzt wird. Nach den Worten des Verfassers, der, aus dem ""Wiener Kreis"" kommend, selbst massgeblich an der Gestaltung dieser Wissenschaft mitgewirkt hat, ist die Symbolik eine unter genauen Regeln stehende Sprach, durch deren Verwendung die Formen des eigenen Denkens verschärft werden können..."" (Front flap).The British-American Max Black (1909-1988) was one of the leading analytic philosophers of the first half of the 20th century. He has contributed with important works within the fields of philosophy of language, mathematics and science as well as studies on and translations of Frege. He studied mathematics at Queens' College, Cambridge, where he met Russell, Wittgenstein, G. E. Moore, and Ramsey and developed a profound interest in the philosophy of mathematics.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.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.This copy of Carnap's important introduction to this field so important for the analytic philosophers, unites two of the giants of the period. In his autobiography, Carnap writes ""I also had interesting discussions with some of the younger philosophers, among them Alfred Ayer, who had been in Vienna for some time when I was already in Prague, R.B. Braithwaite, and Max Black"" they were interested in recent ideas of the Vienna Circle, such as physicalism and logical syntax."" (In Schilpp, ""The Philosophy of Rudolf Carnap"", 1963, p.34).‎

Referentie van de boekhandelaar : 37993

‎VON NEUMANN, JOHANN (JOHN).‎

‎Eine Axiomatisierung der Mengenlehre. [In: Journal für die reine und angewandte Mathematik, vol. 154, pp.219-240]. - [THE VON NEUMANN AXIOMS OF SET THEORY]‎

‎Berlin & Leipzig: Walter de Gruyter, 1925. Large 4to. (300x234mm). The entire volume 154 [(4),259,(1) pp.] offered here in original blank wrappers. Exceptionally fine.‎

‎First edition of von Nuemann's first significant publication, in which he introduced the concept of classes, and gave the first finite axiomatisation of set theory.‎

Referentie van de boekhandelaar : 38042

‎HALL, A. RUPERT.‎

‎Philosophers at War. The Quarrel between Newton and Leibniz.‎

‎Cambridge, London etc., Cambridge University Press, (1980). Orig. full cloth with dustjacker. XIII,338 pp.‎

Referentie van de boekhandelaar : 38162

‎"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.‎

Referentie van de boekhandelaar : 38464

‎"GULDBERG, ALF.‎

‎Om integration af Differentialligninger af 2den orden.‎

‎Christiania, Jacob Dybwad, 1895. Uncut in orig. printed wrappers. Offprint from ""Christiania Videnskabs-Selskabs Forhandlinger 1895. No. 6"". 48 pp.‎

‎First edition. Offprint issue.‎

Referentie van de boekhandelaar : 38572

‎STURM, (JOHANN CHRISTOPH).‎

‎Mathesis Compendiaria sive Tyrocinia Mathematica Tabulis. Matheseos Generalis. Arithmeticis. Algebraicis. Geometricis. Trigonometrica. Opticis. Architecturæ Militaris. Architecturæ Civilis. Chronologicis. Statica sive Mechanica. Horologiographica. Chi...‎

‎Leipzig & Coburg, Pauli Güntheri Pfotenhaueri, 1707. Bound to style in a fine later full calf., raised bands, gilt compartments and titlelabel. 69 pp., 19 full-page engraved illustrations and 2 half-page. 2 nicks to the right part of titlepage neathly repaired, no loss of text.‎

‎Fifth edition of Sturm's excellent illustrated work on the different branches of pure and applied mathematics, such as geometry, arithmetics, algebra, trigonometry, optics, statics, mechanics etc.‎

Referentie van de boekhandelaar : 38637

‎"LEBESGUE, HENRI.‎

‎Lecons sur les Séries Trigonométriques.‎

‎Paris, Gauthier-Villars, 1906. Contemp. full cloth, gilt lettering on spine. (8),128 pp. A few faint brownspots in the margins of the first leaves, otherwise fine and clean.‎

‎First edition. Lebesgue is known for ""The Lebesgue Integral"" and his invention of measure, called ""The Lebesgue Measure"". The item offered is his second book.‎

Referentie van de boekhandelaar : 38673

‎BOREL, ÉMILE.‎

‎Lecons sur les Fonctions de Variables Réelles et les Developppements en Séries de Polynomes. Avec des Notes par Paul Painleve et Henri Lebesque.‎

‎Paris, Gauthier-Villars, 1905. Royal8vo. Orig. printed wrappers. Backstrip with small tears. VIII,(1),160 pp.‎

‎First edition.‎

Referentie van de boekhandelaar : 38681

‎FRECHET, MAURICE.‎

‎Méthode des fonctions arbitraires.Theorie des évenements en chaine dans le cas d'un nombre fini d'états possibles.‎

‎Paris, Gauthier-Villars, 1938. Royal8vo. Uncut in orig. printed wrappers. (24),315 pp.‎

‎First edition.‎

Referentie van de boekhandelaar : 38688