‎Mathematics‎

‎"HILBERT, DAVID.‎

‎Zur Variationsrechnung. - [HILBERT'S 23RD PROBLEM]‎

‎Leipzig, B. G. Teubner, 1906. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 62. Band., 3. Heft., 1906."". A fine and clean copy. Pp. 351-370. [Entire issue: Pp. 329-448.].‎

‎First printing of Hibert's important paper in which he addressed a number of topics in the Calculus of Variations and thereby extended the ideas given in his account of the 23rd problem. In contrast with Hilbert's other 22 problems, his 23rd is not so much a specific ""problem"" as an encouragement towards further development of the calculus of variations. His work in the present paper led to a modern definition of the field.‎

Bookseller reference : 45202

‎"HILBERT, DAVID.‎

‎Über die Transcendenz der Zahlen e und pi. - [ANTICIPATION OF HILBERT'S SEVENTH PROBLEM]‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1868 durch Rudolf Friedrich Alfred Clebsch. 43. Band. 2. und 3. (Doppel-)Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 216-19. [Entire issue: Pp. 145-456].‎

‎First publication of Hilbert's important contribution to transcendental number theory which anticipates Hilbert's seventh problem, the seventh of twenty-three problems proposed by Hilbert in 1900 which became of seminal importance to 20th century mathematics. A transcendental number is a number which is not algebraic-that is, it is not a root of a non-constant polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are pi and e. Euler was the first person to define transcendental numbers - The name ""transcendentals"" comes from Leibniz in his 1682 paper where he proved sin x is not an algebraic function of x.‎

Bookseller reference : 44495

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎Stockholm, Beijer, 1893. 4to. As extracted from ""Acta Mathematica, 17. Band]. No backstrip. Fine and clean. Pp. 169-197.‎

‎First edition. This important 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....""‎

Bookseller reference : 45838

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎Stockholm, Beijer, 1893. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 17, 1883. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 169-197. [Entire volume: (6), 416 pp].‎

‎First edition. This important 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....""‎

Bookseller reference : 49620

‎"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.].‎

‎"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.‎

‎"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.‎

‎"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.‎

‎"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.‎

‎"HILBERT, DAVID.‎

‎Ueber binäre Formen mit vorgeschriebener Discriminante.‎

‎Leipzig, B. G. Teubner, 1888. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 31., 1888. 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. 482-492. [Entire volume: IV, 606 pp.].‎

‎"HILBERT, DAVID.‎

‎Ueber die Darstellung definiter Formen als Summen von Formenquadraten.‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXXII. [32] Band. 3. Heft."" Entire issue offered. [Hilbert:] Pp. 342-50. [Entire issue: Pp. 309-456].‎

‎"HILBERT, DAVID.‎

‎Ueber die Endlichkeit des Invariantensystems für binäre grundformen (+) Ueber Büschel von binären Formen mit vorgeschriebener Functionaldeterminante. - [""WITHOUT DOUBT THIS IS THE MOST IMPORTANT WORK ON GENERAL ALGEBRA""]‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 223-6" " Pp.227-36 [Entire issue: Pp. 161-316].‎

‎"HILBERT, DAVID.‎

‎Ueber die reellen Züge algebraischer Curven.‎

‎Leipzig, B.G. Teubner, 1891. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 38. Band. 1. Heft."".(Entire issue offered). Titlepage to Bd. 38. IV,160 pp. a. 1 folded plate. Hilbert's paper: pp. 115-138.‎

‎"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].‎

‎"HILBERT, DAVID.‎

‎Zur Variationsrechnung. - [HILBERT'S 23RD PROBLEM]‎

‎Leipzig, B. G. Teubner, 1906. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 62. Band., 3. Heft., 1906."". A fine and clean copy. Pp. 351-370. [Entire issue: Pp. 329-448.].‎

‎"HILBERT, DAVID.‎

‎Über die Transcendenz der Zahlen e und pi. - [ANTICIPATION OF HILBERT'S SEVENTH PROBLEM]‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1868 durch Rudolf Friedrich Alfred Clebsch. 43. Band. 2. und 3. (Doppel-)Heft.""Entire issue offered. Internally very fine and clean. [Hilbert:] Pp. 216-19. [Entire issue: Pp. 145-456].‎

‎"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.‎

‎"HILBERT, DAVID.‎

‎Über ternäre definite Formen.‎

‎Stockholm, Beijer, 1893. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 17, 1883. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 169-197. [Entire volume: (6), 416 pp].‎

‎"HILBERT, DAVID. - METAMATHEMATICS.‎

‎Die logischen Grundlagen der Mathematik.‎

‎Berlin, Julius Springer, 1923. 8vo. Full cloth. Spine gone. In: ""Mathematische Annalen begründet durch Alfred Clebsch und Carl Neumann."", 88. Bd. (4),312 pp. (Entire volume offered). Hilbert's paper: pp. 151-165. Internally clean and fine.‎

‎"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.‎

‎"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.‎

‎"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.‎

‎"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.‎

‎"HOTELLING, HAROLD.‎

‎Causes of Birth Rate Fluctuations.‎

‎[No place, no printer], 1931. 8vo. Without wrappers (as issued). Offprint from: ""Journal of the American Statistical Association"", June, 1931. Fine and clean. Pp. 135-149.‎

‎Scarce offprint of Hotelling's important paper on in which it for the first time is statistically demonstrated that a delayed dip in birthrates will occur with populations iwhen subjected to harvest failures or epidemics.‎

Bookseller reference : 48847

‎"HODGE, W. V. D.‎

‎Harmonic Integrals Associated with Algebraic Varieties [Received 9 February, 1934. - Read 15 February, 1934.] [In: Proceedings of the London Mathematical Society. Second Series. Volume 39]. - [""ONE OF THE LANDMARKS OF TWENTIETH CENTURY MATHEMATICS""]‎

‎London, Hodgson & Son, 1935. Royal 8vo. Volume 39 + 40 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. 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-papers and to title-page (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-papers. [Vol. 39:] pp. 249-271. [Entire volume: (Vol. 39:) (4), 546 pp. + (Vol. 40:) (4), 558 pp].‎

‎First publication of Hodge's seminal work on harmonic integrals.In the article Hodge showed that most of the elementary properties of harmonic functions could be extended to harmonic functional.""Hodge is famous for his theory of harmonic integrals (or forms), which was described by Weyl as ""one of the landmarks of twentieth century mathematics."" [...] Hodge's work straddles the area between algebraic geometry, differential geometry, and complex analysis. It can be seen as a natural outgrowth of the theory of Riemann surfaces and the work of Lefschetz on the topology of algebraic varieties. It put the algebraic geometry on a modern analytic footing and prepared the ground for the spectacular breakthroughs of the postwar period of the 1950s and 1960s."" (Gowers, The Princeton Companion to Mathematics, 2008).Hodge himself states in the introduction to the present work: ""In two papers I have defined integrals, which I have called harmonic integrals, which are associated with an analytic variety to which a metric is attached, and have established an existence theorem for them. More recently I have applied the theory of these integrals to the Riemannian manifold of an algebraic surface with the topological invariants of the Manifold. There is reason to believe that this method of considering the Abelian integrals attached to an algebraic variety will prove a powerful one, and I have thought it advisable to set out in the following pages an account of the principles on which the method is based."" In 1941 Hodge published the book ""The theory and applications of harmonic integrals"" which expanded and elaborated the ideas presented in the present article.‎

Bookseller reference : 42640