‎CASSOU-NOGUES PIERRE‎
‎HILBERT‎

‎LES BELLES LETTRES. 2005. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 169 pages. . . . Classification Dewey : 840-Littératures des langues romanes. Littérature française‎

Reference : R200047033
ISBN : 2251760369


‎ Classification Dewey : 840-Littératures des langues romanes. Littérature française‎

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5 book(s) with the same title

‎"SCHÃNFINKEL, M. (MOSES) + HILBERT, DAVID. - FOUNDING COMBINATORIAL LOGIC.‎

Reference : 47433

(1924)

‎Ãber die Bausteine der mathematischen Logik. (+ Hilbert:) Die Grundlagen der Physik.‎

‎Julius Springer, Berlin 1924. 8vo. Bound with the original front wrapper in contemp. full cloth with gilt lettering to spine. Top of spine worn. In ""Mathematische Annalen, 92 Band. (2), 316 pp. (Entire volume, bound together with volume 91 offered). SchÃnfinkel's paper: pp. 305-316. Hilbert's paper: pp. 1-32‎


‎Both papers first printing. SchÃnfinkel's paper is the founding work of combinatory logic, later called the lambda-calculus by Church. It is a fundamental systems of logic based on the concept of ageneralized function whose argument is also a function. It has a relatively small finite number of atoms, and elementary rules. Despite the fact that the system contains no formal variables, it can be used for doing anything that can be done with variables in more usual systems. Its details were developed by Curry.First printing of Hilbert's important contribution to the unification of gravitational theory and electrodynamics. Hilbert stated that the present paper essentially was a reprint with insignificant alterations. This is, however, not entirely true as several Hilbert biographers have pointed out, that this version contain ""major conceptual adjustments and a recognition of its deductive structure"" (Renn, The Genesis of General Relativity, p.930). ""...it was Hilbert's aim to give not just a theory of gravitation but an axiomatic theory of the world. This lends an exalted quality to his paper, from the title, 'Die Grundlagen der Physik', The Foundations of Physics, to the concluding paragraph, in which he expressed his conviction that his fundamental equations would eventually solve the riddles of atomic structure"" (Pais: Subtle is the Lord, pp. 257-258). In Hilbert's 1915-paper he falsly believed that electromagnetism was essentially a gravitational phenomenon. ""These and other errors are expurgated in an article Hilbert wrote in 1924 [the paper offered]. It is again entitled 'Die Grundlagen der Physik' and contains a synopsis of his 1915 paper and a sequel to it written a year later. Hilbert's collected works, each volume of which contains a preface by Hilbert himself, does not include these two early papers, but only the one of 1924"" (Pais, Subtle is the LordâŠ, p. 258)‎

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‎"FREGE, G.‎

Reference : 51210

(1903)

‎Ãber die Grundlagen der Geometrie + Ãber die Grundlagen der Geometrie II. - [THE FREGE-HILBERT CONTROVERSY]‎

‎Leipzig, B. G. Teubner, 1903. 8vo. Bound with the original wrappers in contemporary half cloth with gilt lettering to spine. In ""Jahresbericht der Deutschen Mathematiker-Vereinigung"", 12. Band. 6. Heft. Juni. Bound with all issues from December 1902 till December 1903 (all issues with wrappers). Pp. 319-324"" Pp. 368-375. [Entire volume: VI, 602 pp.].‎


‎First appearance of Frege's important paper on the role of axioms in mathematical theories, describing the correct way to demonstrate consistency and independence results for such axioms.The two papers was Frege's response to Hilbert's ""Grundlagen der Geometrie"" which inaugurated the famous Frege-Hilbert Controversy. ""Hilbert's lecture [Grundlagen der Geometrie] inspired a sharp reaction from his contemporary Gottlob Frege, who found both Hilbert's understanding of axioms, and his approach to consistency and independence demonstrations, virtually incomprehensible and at any rate seriously flawed. Frege's reaction is first laid out in his correspondence with Hilbert from December 1899 to September 1900, and subsequently in two series of essays (both entitled ""On the Foundations of Geometry"") published in 1903 and 1906. Hilbert was never moved by Frege's criticisms, and did not respond to them after 1900. Frege, for his part, was never convinced of the reliability of Hilbert's methods, and held until the end that the latter's consistency and independence proofs were fatally flawed.""(SEP). ""Frege felt that his view represented a traditional understanding of this notion, and that Hilbert's departure from this understanding led to a confusion about axioms that undermined many of the sorts of results, in particular, the independence of the axioms of geometry, that Hilbert saw as major mathematical achievements. Symptomatic of Hilbert's confusion, according to Frege, was Hilbert's claiming that axioms could serve to define"" the reason that this is a confusion, according to Frege, is that axioms and definitions are statements of wholly different types."" (Antonelli, Frege's New Science).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. In the preface of the ""Principia Mathematica"" Russell and Whitehead state that ""In all questions of logical analysis our chief debt is to Frege"" (p. VIII). His influence on 20th century philosophy has been deeply 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 until after 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. Instead of answering the question about meaning, Frege here sets out to explore the foundations of arithmetic, beginning with questions such as ""What is a number?"" In his solutions the answer to the question of meaning could also be found, though, and he permitted himself ""the hope that even the philosophers, if they examine what I have written without prejudice, will find in it something of use to them."" (p. XIi - Introduction). ‎

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‎Reid (Constance) - on David Hilbert and Richard Courant‎

Reference : 100507

(1986)

‎Hilbert-Courant - This Edition joined 2 books from Constance Reid (1. David Hilbert - 2. Richard Courant in Gottingen and New York - The Story of an Improbable Mathematician) - (About Methods of Mathematical Physics).‎

‎Springer Verlag Malicorne sur Sarthe, 72, Pays de la Loire, France 1986 Book Condition, Etat : Bon paperback, editor's orange wrappers illustrated by a black view of 2 cities fort et grand In-8 1 vol. - 562 pages‎


‎ new edition, 1986 with both volumes together Contents, Chapitres : Preface, place of illustrations, 1. David Hilbert, foreword, preface, contents, xv, Text, 220 pages, 25 plates (Königsberg and Göttingen, album) - 2. Richard Courant, pages 225 to 547, 16 plates (Göttingen and New York, album) - Index of names - David Hilbert, né en 1862 à Königsberg et mort en 1943 à Göttingen, est un mathématicien allemand. Il est souvent considéré comme un des plus grands mathématiciens du xxe siècle. Il a créé ou développé un large éventail d'idées fondamentales, que ce soit la théorie des invariants, l'axiomatisation de la géométrie ou les fondements de l'analyse fonctionnelle (avec les espaces de Hilbert). L'un des exemples les mieux connus de sa position de chef de file est sa présentation, en 1900, de ses fameux problèmes qui ont durablement influencé les recherches mathématiques du xxe siècle. Hilbert et ses étudiants ont fourni une portion significative de l'infrastructure mathématique nécessaire à l'éclosion de la mécanique quantique et de la relativité générale. Il a adopté et défendu avec vigueur les idées de Georg Cantor en théorie des ensembles et sur les nombres transfinis. Il est aussi connu comme l'un des fondateurs de la théorie de la démonstration, de la logique mathématique et a clairement distingué les mathématiques des métamathématiques. - Richard Courant (né le 8 janvier 1888 à Lublinitz, mort le 27 janvier 1972 à New York) est un mathématicien germano-américain. - Il poursuit ses études à Zurich et Göttingen. Il devient l'assistant de David Hilbert à Göttingen et y obtient son doctorat en 1910. Il a dû se battre pendant la Première Guerre mondiale, mais il fut blessé et rendu à la vie civile peu après son incorporation dans l'armée. Il continue ses recherches à Göttingen, passant aussi deux ans comme professeur à Münster. Il fonde là l'Institut mathématique, dont il est le directeur de 1928 à 1933. - Courant est connu pour son uvre mathématique. Il a publié, en collaboration avec David Hilbert, le livre Methoden der mathematischen Physik qui systématise la formulation variationnelle des équations aux dérivées partielles. C'est pour cette raison que son nom est associé à la méthode des éléments finis née du calcul des structures, à laquelle il apporte une formalisation mathématique et que, parallèlement à Richard V. Southwell, il applique à divers problèmes de physique mathématique. (source : Wikipedia) "minor discoloration of the spine of wrappers (sun-faded), else wrappers in rather fine condition, inside is fine, no markings, a very good copy of this edition joining two title of Constance Reid on David Hilbert and Richard Courant, few very light foxings on the right side of the books but it's not wearing inside - Please note that this book is NOT the title ""Methods of Mathematical Physics"" but a study on the 2 mathematicians who wrote it."‎

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‎"HILBERT, DAVID.‎

Reference : 44580

(1895)

‎Ueber die gerade Linie als kÃŒrzeste Verbindung zweier Punkte. (Aus einem an Herrn F. Klein gerichteten Briefe). - [FIRST PUBLICATION OF THE HILBERT METRIC]‎

‎Leipzig, B.G. Teubner, 1895. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. BegrÃŒndet durch Alfred Clebsch und Carl Neumann. 46. Band. 1. Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 91-96. [Entire issue: IV, 160 pp].‎


‎First printing of Hilbert's groundbreaking paper in which ""Hilbert's Metric"" (or Hilbert's projective metric) - and the metric in general - was introduced. The Hilbert metric an a closed convex cone that can be applied to various purposed in non-Euclidean geometryThe usefulness of Hilbert's metric were made clear in 1957 by Garrett Birkhoff who showed that the Perron-Frobenius theorem for non-negative matrices and Jentzch's theorem for integral operators with positive kernel could both be proved by an application of the Banach contraction mapping theorem in suitable metric spaces. (Serrin. Hilbert's Matric. P. 1). ‎

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‎"POINCARÃ, H. [DAVID HILBERT].‎

Reference : 49614

(1912)

‎Rapport sur le Prix Bolyai. - [POINCARÃ APPRAISAL OF HILBERT]‎

‎Berlin, G. Reimer, 1912. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 35, 1912. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 1-28. [Entire volume: (4), 398, (1), 27, 19 pp].‎


‎First appearance of PoincarÃ's report on 1910 Bolyai Prize which was awarded to David Hilbert in recognition of his work in fields of invariant theory, transcendent number (e constant after Lindemann), arithmetic, the (Hilbert-)Waring theorem, geometry, integral equations and the Dirichletâs principle.In 1910, Hilbert became only the second winner of the Bolyai Prize of the Hungarian Academy of Sciences. It was the recognition of the fact that Hilbert was one of the leading mathematicians of his time. The first winner of the prize in 1905 was Henri Poincare, the most prolific mathematician of the 19th century.Poincarà about the works and achievements of David Hilbert in fields of invariant theory, transcendent number (e constant after Lindemann), arithmetic, the (Hilbert-)Waring theorem, geometry, integral equations and the Dirichletâs principle.‎

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