‎Mathématiques‎

‎"HILBERT, DAVID. - WARING'S PROBLEM SOLVED.‎

‎Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl nter Potenzen (Waringische Problem).‎

‎Leipzig, B.G. Teubner, 1909. Orig. printed wrappers. No backstrip. In. ""Mathematische Annalen. Hrsg. von Felix Klein, Walther v. Dyck, David Hilbert, Otto Rosenthal"", 67. Bd., 3. Heft. Pp. 281-432 (=3. Heft). Hilbert's paper: pp. 281-300.‎

‎First printing of a groundbreaking work in Number Theory. Edward Waring (1734-98) stated, in his ""Meditationes Algebraicae"" (1770), the theorem known now as ""Waring's Theorem"", that every integer is either a cube or the sum of at most nine cubes"" also every integer is either a fourth power of the sum of at most 19 fourth powers. He conjectured also that every positive integer can be expressed as the sum of at most r kth powers, the r depending on k. These theoremes were not proven by him, but by David Hilbert in the paper offered.Hilbert proves that for every integer n, there exists an integer m such that every integer is the sum of m nth powers. This expands upon the hypotheis of Edward Waring that each positive integer is a sum of 9 cubes (n=3, m=9) and of 19 fourth powers (n= 4, m=19).This issue also contains F. Hausdorff's ""Zur Hilbertschen Lösung des Waringschen Problems"", pp. 301-305.(Se Kline p. 609).‎

Referentie van de boekhandelaar : 41656

‎"HILBERT, DAVID.‎

‎Die logischen Grundlagen der Mathematik. - [IMPORTENT HILBERT-PAPER ON METAMATHEMATICS]‎

‎Berlin, Julius Springer, 1923. Later full cloth. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 88. Bd. (4),312 pp. Hilbert's paper: pp. 151-165. The whole volume offered.‎

‎First edition as a continuation of his paper from 1922 ""Neubegründung der Mathematik. Erste Mitteilung"".""This articlee, delivered as a lecture to the deutsche Naturforscher Gesellschaft in Leipzig, September 1922, is a sequel to (neubegründung...), and brings Hilbert's proof theory to maturity. Hilbert here introduces several technical refinements and clarification to his theory. Specifically: (i) he improves the formal system by adding a special sign for formal negation...(ii) he refines his account of the distinction between formal language and the metalanguage....(iii) he outlines a consistency proof for an elementary, quantifier-free formal system of number-theory. (iv) he begins to extend his proof theory to analysis and set theory....sketches a strategy for proving the consistency of a version of Zermel's axiom of choice for real numbers...(etc. etc). (William Ewald in from Kant to Hilbert, vol. II, pp.1134-35).‎

Referentie van de boekhandelaar : 41351

‎"HILBERT, DAVID.‎

‎Grundlagen der Geometrie. Zweite, durch Zusätze vermehrte und mit fünf Anhängen versehene Auflage. Mit zahlreichen in den Text gedruckten Abbildungen.‎

‎Leipzig, B.G. Teubner, 1903. Lex8vo. Orig. full cloth. Very slightly rubbed, a few tiny stains on covers. Small stamp on titlepage.V,175 pp. + Publishers announcements (2) pp.‎

‎Scarce second edition of a work which went through 15 editions in 100 years as one of the most influential mathematical publications of the 20th century. ""The development of Hilberts Grundlagen der Geometrie was not finished with the first edition. The complete content was continously revised, especially during his lifetime. He considered new results, gave hints in articles and improved his own formulations."" (Michael Toepell in Landmarks Writings in Western Mathematics). This second edition is nearly 2 times larger than the first edition, expanded with 5 supplements (Anhänge).‎

Referentie van de boekhandelaar : 38687

‎"HILBERT, DAVID.‎

‎Hermann Minkowski. - [HILBERT'S OBITUARY OVER MINKOWSKI]‎

‎Leipzig, Teubner, 1910. 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 68. Band"". Pp. 445-471.‎

‎First edition of Hilbert's obituary over Herbert Minkowski. Minkowski, Hilbert's ""best and truest friend"" (Reid, Hilbert P. 121), died prematurely of a ruptured appendix in 1909. Minkowski and Hilbert, both natives of Königsberg would exercise a reciprocal influence over each other throughout their scientific careers.‎

Referentie van de boekhandelaar : 49482

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions. - [FOUNDING CONTEMPORARY EPISTEMIC LOGIC]‎

‎Ithaca, New York, Cornell University Press, (1962). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. A bit of bumping to capitals. Original blue dust-jacket w. red lettering. Spine faded and some minor wear to capitals. A tear to front of dust-jacket, no loss. Not price-clipped. Old owner's name to front free end-paper. Internally very nice and clean. A very good copy. X, 179 pp.‎

‎The uncommon first edition, first issue of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Referentie van de boekhandelaar : 36631

‎"HINTIKKA, JAAKKO.‎

‎Knowledge and Belief. An Introduction to the Logic of the two Notions.‎

‎Ithaca, New York, Cornell University Press, (1967). 8vo. Orig. full blue cloth w. blue lettering to spine and front board. Original blue dust-jacket w. red lettering. Dust-jacket w. a long tear to lower back hinge, crossing spine. A few tears and general wear. Price-clipped. Internally very nice and clean. X, 179 pp.‎

‎First edition, third printing of Hintikka's seminal main work, which also constitutes the main work of contemporary epistemic logic.The Finnish born philosopher and logician, Jaakko Hintikka (born 1929), Professor of Philosophy at the University of Boston, is generally accepted as the founder of formal epistemic logic and of game semantics for logic. He has contributed seminally to the fields of philosophical and mathematical logic, philosophy of mathematics and science, language theory and epistemology. Independently of Evert Willem Beth he discovered the semantic tableau, and he is famous for his work on game semantics and logical quantifiers. In 2005 Hintakka was awarded the Schock Prize in logic and philosophy, the philosophical equivalent to the Nobel prize, ""for his pioneering contributions to the logical analysis of modal concepts, IN PARTICULAR THE CONCEPTS OF KNOWLEDGE AND BELIEF "". The first edition of this seminal work, which has founded contemporary epistemic logic, appeared in 1962 and is very difficult to find. The work was reprinted three times between 1962 and 1969, but after that the work was only printed again in 2005. The second issue appeared in 1964 and the third in 1967.""In 1962 Jaakko Hintikka published ""Knowledge and Belief: An Introduction to the Logic of the Two Notions"" with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief."" (Abstract of the re-issue edition, Prepared by Vincent F. Hendricks & John Symons, King's College Publications, 2005).In this breakthrough work, Hintikka sets out to understand and explain the logical behavior of the two fundamental epistemological notions, Knowledge and belief. ""The word ""logic"" which occurs in the subtitle of this work is to be taken seriously. My first aim is to formulate and to defend explicit criteria of consistency for certain sets of statements - criteria which, it is hoped, will be comparable with the criteria of consistency studied in the established branches of logic. What the statements in question are like is also indicated in the title [...]"" (Chapter One, Prolegomena, p.3).""Knowledge and Belief"" has been extremely influential from the time of its appearance and continues to be so to this day, also due to the fact that epistemic logic has greatly influenced the fields of game theory, artificial intelligence and distributed computing.‎

Referentie van de boekhandelaar : 36633

‎"HINDENBURG, CARL FRIEDRICH.‎

‎Novi systematis permutationum combinationum ac variationum primae lineae et logisticae serierum formulis analytico-combinatoriis per tabulas exhibendae conspectus et specimina. - [""FOUNDER OF THE COMBINATORIAL SCHOOL IN GERMANY""]‎

‎Leipzig, S. L. Crusium, 1781. 4to. Bound uncut in a nice recent cardboard-binding with red leather title-label to spine with gilt lettering. Title-page partly detached. Occassional brownspotting throughout. XII, LXXXIII, (1) pp.‎

‎Rare first edition of Hindenburg's paper on combinatorics, which partly earned him the title as ""founder of the combinatorial school"" (DSB) in Germany. Combinational mathematics was not new at that time: Pascal, Leibniz, Wallis, the Bernoullis, De Moivre, and Euler, among others, had contributed to it. Hindenburg and his school attempted, through systematic development of combinatorials, to give it a key position within the various mathematical disciplines. ""Combinatorial consideration, especially appropriate symbols, were useful in the calculations of probabilities, in the development of series, in the inversion series, and in the development of formulas for higher differentials. The utility led Hindenburg and his school to entertain great expectations: they wanted combinatorial operations to have the same importance as those of arithmetic, algebra, and analysis. They developed a complicated system of symbols for fundamental combinatorial concepts, such as permutations, variations, and combinations."" (DSB)‎

Referentie van de boekhandelaar : 59015

‎"HILBERT, DAVID.‎

‎The Foundations of Geometry. Authorized translation by E.J. Townsend.‎

‎Chicago, Open Court, 1902. Small 8vo. Orig. full red cloth, gilt. A rather faint dampstain along first hinge on frontcover, otherwise fine. VII,143 pp.‎

‎First English edition of Hilbert's ""Grundlagen der Geometrie"" from 1899, one of the most influential publications in 2oth Century mathematics.Throughout the 19th century geometry was developed far beyond our intuitive conception of space" hyperbolic geometry was discovered by Gauss, Bolyai, and Lobachevsky and elliptic geometry by Riemann. However, Euclidean and non-Euclidean geometry still involved an intuitive idea about the concepts 'point', 'line', 'lies on', 'between', etc. In his 'Grundlagen' Hilbert set out to give a strictly formal formulation of geometry were points, lines, planes are nothing more than abstract symbols and concepts as 'lies on' are simply algebraic relations between these symbols. Through his method Hilbert could analyse independence and completeness of the axioms for geometry and he presented a new smaller set of axioms for Euclidean geometry. It can not be said that the 'Grundlagen' contains new and surprising discoveries, its importance lies in the great influence which Hilbert's method had on all fields of mathematics, and even other sciences as physics, chemistry, and biology. The 'Grundlagen' initiated a whole new paradigm shift and eventually evolved mathematics, throughout the 20th century, into a network of axiomatic formal systems.‎

Referentie van de boekhandelaar : 35061

‎"HILBERT, DAVID.‎

‎Ueber die Theorie des relativquadratischen Zahlkörpers. - [A MAIN WORK ON ALGEBRAIC NUMBER-THEORY]‎

‎Leipzig, B.G. Teubner, 1898. Orig. printed wrappers, no backstrip. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 51. Bd., 1. Heft. The whole issue offered (=Heft 1). IV,160 pp. Hilbert's paper pp. 1-127.‎

‎First edition of Hilbert's famous report on algebraic numbers.""The work on algebraic number theory was climaxed in the nineteenth century by Hilbert's famous report on algebraic numbers. This report is primarely an account of what had been done during the century. However Hilbert reworked all of this earlier theory and gave a new, elegant and powerfull methods of securing these results. He had begun to create new ideas in algebraic number theory from about 1892 on and one of the new creations on Galoisian number fields was also incorporated in the report."" (Morris Kline in ""Mathematical Thoughts..."" pp. 825).‎

Referentie van de boekhandelaar : 41356

‎"HILBERT, DAVID.‎

‎Ueber die Vollen Invariantensysteme.‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1893 durch Alfred Clebsch und Carl Neumann. 42. Band. 3. Heft."" Entire issue offered. [Hilbert:] Pp. 314-73. [Entire issue: Pp. 314-604].‎

‎First printing of Hilbert's fundamental landmark paper in which he ""INTRODUCED STUNNING NEW IDEAS WHICH HAVE DEEPLY INFLUENCED THE DEVELOPMENT OF MODERN ALGEBRA AND ALGEBRAIC GEOMETRY."" (Buchberger. Gröbner bases and applications. P. 63). The ideas presented in the present paper was introduced in his 1890-paper, but here he ""called attention to the fact that his earlier results failed to give any idea of how a finite basis for a system of invariants could actually be construted. [...] To show how these drawbacks could be overcome, Hilbert thus adopted an even more general standpoint [...]. He described the guiding idea of this culminating paper of 1893 as invariants could actually be constructed"". (Hendricks. Proof theory: history and philosophical significance. P. 59) Hilbert's first work on invariant functions led him to the demonstration in 1888 of his famous finiteness theorem. Twenty years earlier, Paul Gordan had demonstrated the theorem of the finiteness of generators for binary forms using a complex computational approach. Attempts to generalize his method to functions with more than two variables failed because of the exceedingly complicated calculations involved. Hilbert realized that it was necessary to take a completely different path. Hilbert sent his results to the Mathematische Annalen. Gordan, the expert on the theory of invariants for the Mathematische Annalen, did not appreciate the revolutionary nature of Hilbert's theorem and rejected the article. His - now famous - comment was: Das ist nicht Mathematik. Das ist Theologie. (i.e. This is not Mathematics. This is Theology).Klein, on the other hand, recognized the importance of the work immediately, and guaranteed that it would be published without the slightest alterations. Encouraged by Klein and by the comments of Gordan, Hilbert extended his method in a second article, providing estimations on the maximum degree of the minimum set of generators, and he sent it once more to the Annalen. After having read the manuscript, Klein wrote to him, saying: ""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA that the Annalen has ever published.""Later, after the usefulness of Hilbert's method was universally recognized, Gordan himself said: ""I have convinced myself that even theology has its merits"".(Klein. Development of mathematics in the 19th century. P. 311).‎

Referentie van de boekhandelaar : 44428

‎"HILBERT, DAVID.‎

‎Ueber die gerade Linie als kürzeste 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. Begründet 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).‎

Referentie van de boekhandelaar : 44580

‎"HILBERT, DAVID. - HABILITATIONS THESIS.‎

‎Ueber einen allgemeinen Gesichtspunkt für invariantentheorietische Untersuchungen im binären Formengebiete.‎

‎Leipzig, B.G. Teubner, 1887. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 28. Band. 3. Heft."". (Entire issue offered). Pp. 309-456. Hilbert's paper: pp. 381-446.‎

‎This is Hilbert's ""Habilitationsschrift"", a fundamental work on algebraic invariants.‎

Referentie van de boekhandelaar : 45870

‎"HILBERT, DAVID.‎

‎Ueber die Darstellung definiter Formen als Summen von Formenquadraten.‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 32., 1888. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of verso of title page. Very fine and clean. Pp. 342-350. [Entire volume: Pp. IV-600.]‎

‎First publication of Hilbert's fundamental and exceedingly important paper on real algebraic geometry. ""In 1888, David Hilbert published an influential paper [the present] which became fundamental for real algebraic geometry, and which remains an inspiring source for research even today."" (Pfister & Scheiderer). David Hilbert, one of the most influential mathematicians of the 19th and early 20th centuries, is probably best known for the ""Hilbert Problems"" - a list of twenty-three problems in mathematics all unsolved at the time, and several of them were very exceedingly influential for 20th century mathematics.He is regarded as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.""Hermann Weyl described his teacher Hilbert's style: ""It is as if you were on a swift walk through a sunny open landscape" you look freely around, demarcation lines and connecting roads are pointed out to you, before you must brace yourself to climb the hill" then the path goes straight up."" (Princeton Companion to Mathematics). The volume contain several other papers by influential contemporary mathematicians such as Felix Klein, Hurwitz, Lie, Lilienthal and Peano.‎

Referentie van de boekhandelaar : 47123

‎"HILBERT, DAVID.‎

‎Ueber den Dirichlet'schen biquadratischen Zahlenkörper. - [THE THEORY OF QUADRATIC NUMBER FIELDS]‎

‎Leipzig, B. G. Teubner, 1894. 8vo. Bound with the original wrappers in contemporary half calf. In ""Mathematische Annalen"", Volume 45., 1894. Entire volume offered. Library label to upper part of spine. Extremities with wear, internally very fine and clean. Pp. 309-340. [Entire volume: IV, 599 pp.].‎

‎First printing of Hilbert's influential paper on the theory of quadratic number fields. Hilbert's work enabled mathematicians to attack successfully the theory of quadratic forms with any number of variables and with any algebraic numerical coefficients. This lead in particular to the interesting problem: to solve a given quadratic equation with algebraic numerical coefficients in any number of variables by integral or fractional numbers belonging to the algebraic realm of rationality determined by the coefficients.The present volume contain several other papers by influential contemporary mathematicians.‎

Referentie van de boekhandelaar : 47138

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎(Berlin, Stockholm, Paris, 1893). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Vol. 17, pp. 169-197.‎

‎First edition. This importent paper constitutes Hilbert's own version of part of the solution of his ""Mathematische Probleme"" listed at the International mathematical Congress in Paris 1900 (as problem 17) on the ""Expression of definite forms by squares"". ""....But since as I have shown, not every definite form can be compounded by addition from squares of forms, the question arises - which I have answered affirmatively for ternary forms (the paper offered here)- whether every definite form may be expressed as a quotient of sums of squares of forms....""‎

Referentie van de boekhandelaar : 39160

‎"HILBERT, DAVID.‎

‎Über den Begriff der Klasse von Differentialgleichungen.‎

‎Leipzig, B.G. Teubner, 1912. 8vo. Bound in half cloth with the original wrappers. Marbled boards. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 73. Band, Heft 1-4, 1912"". Black leather title label to spine with gilt lettering. Library label pasted on to top of spine and library stamp to title page. Light writing in pencil to front wrapper. [Hilbert:] Pp. 95-108. [Entire issue: IV, (2), 599, (1)].‎

‎First printing of Hilbert's paper on on the concept of the class of differential equations.The issue contain many other papers by contemporary mathematicians.‎

Referentie van de boekhandelaar : 45060

‎"HILBERT, DAVID.‎

‎Über eine Darstellungsweise der invarianten Gebilde in binären Formengebiete (+) Ueber die Singularitäten der Discriminantenfläche (+) Ueber binäre Formenbüschel mit besonderen Combinanteneigenschaften.‎

‎Leipzig, B. G. Teubner, 1887. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 30, 1887. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 15-29" 437-441" Pp. 561-570. [Entire volume: IV, 596 pp.].‎

‎First printing of these early three papers by Hilbert. David Hilbert, one of the most influential mathematicians of the 19th and early 20th centuries, is probably best known for the ""Hilbert Problems"" - a list of twenty-three problems in mathematics all unsolved at the time, and several of them were very exceedingly influential for 20th century mathematics.He is regarded as one of the founders of proof theory and mathematical logic, as well as for being among the first to distinguish between mathematics and metamathematics.""Hermann Weyl described his teacher Hilbert's style: ""It is as if you were on a swift walk through a sunny open landscape" you look freely around, demarcation lines and connecting roads are pointed out to you, before you must brace yourself to climb the hill" then the path goes straight up."" (Princeton Companion to Mathematics). The present volume contain several other papers by influential contemporary mathematicians.‎

Referentie van de boekhandelaar : 47158

‎"HILBERT, D. (+) H. POINCARÉ.‎

‎Über die Theorie der relativ-Abel'schen Zahlkörper [Hilbert] (+) Sur les fonctions abéliennes [Poincaré].‎

‎Berlin, Stockholm, Paris, Beijer, 1902. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol. 26, 1802. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 99-132" Pp. 48-98. [Entire volume: (4), 400 pp.].‎

‎First printing of these two important papers on the theory of quadratic number fields.‎

Referentie van de boekhandelaar : 49641

‎"HILBERT, DAVID.‎

‎Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl n-ter Potenzen (Waringsches Problem). Dem Andenken an Hermann Minkowski Gewidmet. - [Hilbert-Kamke problem]‎

‎Leipzig, B. G. Teubner, 1909. 8vo. Bound in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen"", 67 band. 1909. Bookplates to pasted down front free end-paper and library stamp to verso of title page. Top half of spine is detached. Bookblock, however, still firmly attached. Fine and clean. Pp. 281-300. [Entire volume: IV, 575 pp.].‎

‎"HILBERT, DAVID.‎

‎Ein Beitrag zur Theorie des Legendre'schen Polynoms. - [HILBERT MATRIX]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1894. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 18, 1894. Entire volume offered. Stamps to title page and light wear to extremities, otherwise a fine and clean copy. Pp. 155-59.[Entire volume: (4), 421, (2) pp].‎

‎"HILBERT, DAVID.‎

‎Hermann Minkowski. - [HILBERT'S OBITUARY OVER MINKOWKI]‎

‎Leipzig, B.G. Teubner, 1910. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 68. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 445-71. [Entire issue: Pp. 445-572].‎

‎"HILBERT, DAVID.‎

‎Neue Begründung der Bolyai-Lobatschefskyschen Geometrie.. - [A]‎

‎Leipzig, B.G. Teubner, 1903. Orig. printed wrappers, no backstrip. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 57. Bd., 2 Heft. Pp. 137-264. The whole issue offered (Heft 2). Hilbert's paper:pp. 137-150 a. 7 textfigs.‎

‎"HILBERT, DAVID.‎

‎The Foundations of Geometry. Authorized translation by E.J. Townsend.‎

‎Chicago, Open Court, 1902. Small 8vo. Orig. full red cloth. Wear to topof spine. Old owners name on title-page. VII,143 pp., textfigs. Clean and fine.‎

‎"HILBERT, DAVID.‎

‎Ueber den Dirichlet'schen biquadratischen Zahlenkörper. - [THE THEORY OF QUADRATIC NUMBER FIELDS]‎

‎Leipzig, B. G. Teubner, 1894. 8vo. Bound with the original wrappers in contemporary half calf. In ""Mathematische Annalen"", Volume 45., 1894. Entire volume offered. Library label to upper part of spine. Extremities with wear, internally very fine and clean. Pp. 309-340. [Entire volume: IV, 599 pp.].‎

‎"HILBERT, DAVID.‎

‎Ueber die Darstellung definiter Formen als Summen von Formenquadraten.‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 32., 1888. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of verso of title page. Very fine and clean. Pp. 342-350. [Entire volume: Pp. IV-600.]‎