‎Mathématiques‎

‎"HOEM, JAN.‎

‎On the Optimality of Modified Minimum Chi-Square Analytical Graduation.‎

‎(Copenhagen), 1976. 8vo. Without wrappers (as issued). Offprint from ""Scand. J. Statist 3"", 1977: 1-20. A very fine and clean copy. 20 pp.‎

‎Offprint of Hoem's paper on Chi-Square analytical graduation. Hoem is best known for his work on event-history analysis - contributions that have helped shape demographic methodology.‎

书商的参考编号 : 48893

‎"HOEM, JAN.‎

‎Who first fitted a mortality formula by least squares?‎

‎Würzburg, Konrad Triltsch, 1980. 8vo. In the original blue printed wrappers. Offprint from: ""Deutsche Gesellschaft für Versicherungsmathematik"", Band XIV, Heft 3, April 1980. Very fine and clean.‎

‎Offprint.‎

书商的参考编号 : 48894

‎"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].‎

‎"HOEM, JAN.‎

‎A Markov Chain Model of Working Life Tables.‎

‎[Copenhagen], 1977. 8vo. Without wrappers (as issued). Offprint from ""Scand. Actuarial J."", 1977: 1-20. A very fine and clean copy. 20 pp.‎

‎"HOEM, JAN.‎

‎Who first fitted a mortality formula by least squares?‎

‎Würzburg, Konrad Triltsch, 1980. 8vo. In the original blue printed wrappers. Offprint from: ""Deutsche Gesellschaft für Versicherungsmathematik"", Band XIV, Heft 3, April 1980. Very fine and clean.‎

‎"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.‎

‎"HUSSERL, EDMUND.‎

‎Formale und transzendentale Logik. Versuch einer Kritik der logischen Vernunft. Sonderabdruck aus: ""Jahrbuch für Philosophie und phänomenologische Forschung"", Bd. X. Herausgegeben von E. Husserl, Freiburg I. Br. - [THE FINAL CONCEPTION OF LOGIC]‎

‎Halle, Niemeyer, 1929. 4to. A bit later blue full fabrikoid binding. Gilt lettering to spine. Clean and fresh copy. Old owner's signature to title-page. XI, (1), 298 pp.‎

‎First edition of Husserl's seminal work, which contains his philosophy of logic and mathematics. This important work entitled ""Formal and Transcendental Logic"" with the sub-title ""An Attempted Critique of the Logic Reason"" provides us with Husserl's final conception of logic. Though now famous as the father of phenomenology, Husserl was initially a student of mathematics, and in his two first works ""Über den Begriff der Zahl"" and ""Philosophie der Aritmetik"", his early philosophy is developed on the basis of mathematics with the aim to provide a sound foundation for mathematics by combining it with philosophy and psychology. His main work from 1900-1901, Logische Untersuchungen"", probably one of the two most important and influential philosophical works of the 20th century, Husserl 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.However, it is in his ""Formal and Transcendental Logic"" that Husserl most thoroughly introduces us to the formal character of logic and formulates his final conception of it. According to Husserl, logic is formal, because it is nothing more than the development of pure reason, and pure reason is a formal concept. As such, logic for Husserl becomes the self-interpretation of pure reason (die Selbstauslegung der reinen Vernunft) which is, again, a formal activity. Husserl also determines that there are two formal ways of conceiving logic, one being a tool for judging sentences true or false, and another, which includes knowledge.And so, this work not only provides us with a genetic-phenomenological investigation of philosophy and of the basis of logic, but it also provides us with an insight into the entire inner systematic structure of late Husserlian thought.‎

书商的参考编号 : 49150

‎"HURWITZ, A.‎

‎Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt. - [HURWITZ DETERMINANT]‎

‎Leipzig, B. G. Teubner, 1895. 8vo. In the original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch and Carl Neumann. 46. Band. 2. Heft."" Entire issue offered. Internally very fine and clean. Pp. 273-285. [Entire volume: Pp. 161-320].‎

‎First printing of Hurwitz's important paper in which he presented the ""Hurwitz determinant"" for the first time. They are used to give a criterion for all roots of a polynomial to have negative real part.‎

书商的参考编号 : 46504

‎"HUMBERT, MARIE-GEORGES.‎

‎Sur les courbes algébriques planes rectifiables (+) Sur quelques propriétés des aires sphériques (+) Sur le théorème d'Abel et quelques-unes de ses applications a la geometrie (+) Sur une classe de courbes planes, et sur une surface remarquable du qua...‎

‎Paris, Gauthier-Villars, 1888-1890 4to. Bound with the front wrappers in contemporary half cloth. In ""Journal de Mathématiques pures et appliquées"". With two paper labels to spine and with the author's name to top of each wrapper. A stamp to front free end paper and first wrapper. Otherwise fine.‎

‎"HURWITZ, ADOLF.‎

‎Über algebraische Gebilde mit Eindeutigen Transformationen in sich. - [HURWITZ SURFACE]‎

‎Leipzig, B. G. Teubner, 1893. 8vo. Bound with the original wrappers in contemporary half calf. In ""Mathematische Annalen"", Volume 41., 1893. Entire volume offered. Library label to upper part of spine. Extremities with wear, internally very fine and clean. Pp. 403-442. [Entire volume: IV, 604 pp.].‎

‎"HÖLDER, OTTO.‎

‎Bildung zusammengesetzter Gruppen.‎

‎Leipzig, B. G. Teubner, 1895. 8vo. In the original printed wrappers. In ""Mathematische Annalen, Begründet 1868 durch Alfred Clebsch und Carl Neumann"", 46. band, 3 heft. Entire heft 3 offered. No backstrip and a small tear to back wrapper, otherwise fine and clean. Pp. 321-422. [Entire heft: Pp. 321-480].‎

‎First printing of Hölder's extensive and important paper on symmetric groups.Hölder owed his interest in group theory and Galois theory primarily to Kronecker, but also to Felix Klein, in whose seminar at Leipzig Hölder participated soon after receiving his doctorate. Hölder turned his attention first to simple groups. Besides the simple groups of orders 60 and 168 already known at the time, he found no new ones with a composite order less than 200. Nevertheless, he considered his method to be ""of some interest so long as we do not possess a better one suitable for handling the problem generally."" Such a general method is still lacking, despite the progress and great efforts of recent years. (DSB).He is famous for many things including: Hölder's inequality, the Jordan-Hölder theorem, the theorem stating that every linearly ordered group that satisfies an Archimedean property is isomorphic to a subgroup of the additive group of real numbers,‎

书商的参考编号 : 49761

‎"HÖLDER, OTTO.‎

‎Bildung zusammengesetzter Gruppen.‎

‎Leipzig, B. G. Teubner, 1895. 8vo. In the original printed wrappers. In ""Mathematische Annalen, Begründet 1868 durch Alfred Clebsch und Carl Neumann"", 46. band, 3 heft. Entire heft 3 offered. No backstrip and a small tear to back wrapper, otherwise fine and clean. Pp. 321-422. [Entire heft: Pp. 321-480].‎

‎"IBM.‎

‎Electric Punched Card Accounting Machines. Customer Engineering Manual of Instruction. Card Sorting Machine 82-80-75.‎

‎New York, International Business Machines Corporation, (1957). Royal8vo. Bound in the original printed grey wrappers. Minor wear to extremities, otherwise a very nice and clean copy. 84 pp. (herein 3 plates included) + large folded unattached diagram.‎

‎Original scarce printing of the engineering manual to the IBM 75, 80 and 82 Card Sorting Machine.In the 40ties and 50ties a major time consuming activity was sorting of information represented by punched cards. IBM was the leading manufacturer of the card sorting machine and the company was founded by Herman Hollerith on the basis of his 1901 Hollerith Automatic Horizontal Sorter.The two main requirements of the Card Sorting Machine were lowering of error risk and sorting speed. Both features were continuously improved which resulted in a number of different issue of the engineering manual.""The three machines necessary to perform the basic operations required in punched card accounting are the punch, the sorter, and the accounting machine. The punch establishes the records, the sorter arranges or classifies them, and the accounting machine produces the printed reports."" (From the introduction to the present manual).The 1957-manual gives a fascinating insight into how a fully development card sorting machine is developed and how it functioned.OOC 694. (the 1952-issue).‎

书商的参考编号 : 42871

‎"INDRA, ALOIS. - BALLISTICS.‎

‎Die wahre Gestalt der Spannungscurve. Experimentelle Untersuchungen über die Spannung-Verhältnisse der Pulvergase in Geschützrohren.‎

‎Wien, R.v. Waldheim, 1901. Contemp. hcalf. Gilt spine. Somewhat rubbed. Stamps on titlepage. X,(1),310 pp. and 5 large folded lithographed plates. Internally fine and clean.‎

‎(Sonderabdruck aus den ""Mittheilungen über gegenstände des Artillerie- U. Genie-Wesens""‎

书商的参考编号 : 39472

‎"IVORY, JAMES.‎

‎On the Grounds of the Method which Laplace has given in the second Chapter of the third Book of his Mécanique Céleste for computing the Attractions of Spheroids of every Description. Read July 4, 1811. (+) II. On the Attractions of an extensive Class ...‎

‎(London, W. Bulmer and Co., 1812). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1812 - Part I. Pp. 1-45 a. 46-82. A small loss of paper in inner margin of first leaf. No loss of text. Fine and clean.‎

‎First printing of an importent paper in which Ivory comments the methods used by Laplace and substitutes analytical methods for some of Laplace's geometrical considerations. Laplace himself paid tribute to Ivory's work. ""Ivory's scientific reputation, for which he was awarded many honours during his lifetime, including knighthood of the Order of the Guelphs, Civil Division (1831), was founded on the ability to understand and comment the work of the French analysts rather than any great originality of his own...Ivory's work, conducted with great industry over a long period, helped to foster in England a new interest in the application of analysis to physical problems."" (DSB VII. p. 37).‎

书商的参考编号 : 42621

‎"IVORY, JAMES.‎

‎On the development of the disturbing Function, upon which depend the inequalities of the motions of the Planets, caused by their mutual attraction. Received May 30, - Read June 20, 1833.‎

‎(London, Richard Taylor, 1833). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1833 - Part II. Pp. 559-592. Clean and fine.‎

‎"IVORY, JAMES. - THE INTRODUCTION OF IVORY'S THEOREM.‎

‎On the Attraction of homogenous Ellipsoides. Read June 15, 1809.‎

‎(London, W. Bulmer and Co., 1809). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1809 - Part II. Pp. 345-372. Clean and fine.‎

‎"JACOBI, C. G. J.‎

‎Auszug aus einem Schreiben des Herrn Prof. Dr. C. G. J. Jacobi zu Königsberg i. Pr., an den Herrn Prof. Dr. J. Steiner zu Berlin.‎

‎[Berlin, G. Reimer, 1834]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1834, Pp. 137-140. [Entire offering: Pp. 137-180].‎

‎First printing.‎

书商的参考编号 : 48005

‎"JACOBI, C.G.J. - ABELIAN TRANSCENDENTAL FUNCTIONS.‎

‎Considerationes generales de transcendentibus Abelianis. - [ABELIAN TRANSCENDENTAL FUNCTIONS]‎

‎Berlin, G. Reimer, 1832. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 9. Bd., Heft 4, pp. 313-403. Jacobi's paper pp. 394-403. With titlepage to vol. 9.‎

‎First printing of this important paper, bringing the problem with the Abelian integral to a solution. ""The further step was made by Jacobi in the short but very importent memoir ""Considerationes generales..."" (the paper offered): viz. he here shows for the hyper-elliptical integrals of any class (but the conclusion may be stated generally) that the direct functions to which Abel's theorem has reference are not functions of a single variable, such as the elliptic sn, cn, or dn, but functions of ""p"" variables...(Arthur Cayley in his ""Presidential Address to the British Association 1883).""Carl Jacobi in reviewing Adrien Legendre's third supplement to his ""Traite des fonctions elliptiques et des integrales Euleurienne"", suggests renaming Legendre's ""hyperelliptical transcendental functions"" as ""Abelian transcendental functions"" after Niels Henrik Abel. acobi, whiose work on hyperelliptic integrals helps lead to the extensive nineteenth-century development of the theory of abelian functions of n variables, suggests, in partial analogy to doubly periodic functions, that hyperelliptic integrals can be inverted to hyperelliptic functions through a generalization of elliptic theta functions."" (Parkinson in ""Breakthroughs (1832"").‎

书商的参考编号 : 41658

‎"JACOBI, C.G.J. - PAVING THE WAY FOR DOUBLE PERIODIC FUNCTIONS.‎

‎De functionibus duarum variabilium quadrupliciter periodicis, quibus theoria transcendentium Abelianarum innititur.‎

‎(Berlin, G. Reimer, 1835) 4to. No wrappers as extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 13. Jacobi's paper: pp. 55-78.‎

‎First appearance of an importent paper on the functions of a complex variable.In an importent paper of 1835 (the item offered) Jacobi showed that a single-valued function of a single variable which for every finite value of the argument has the character of a rational function (that is, is a meromorphic function) cannot have more than two periods, the ratio of the periodics is necessarily a nonreal number. This discovery opened up a new direction of work, namely, the problem of finding all double periodic functions."" (Morris Kline).‎

书商的参考编号 : 41885

‎"JACOBI, C.G.J.‎

‎De resolutione aequationum per series infinitas.‎

‎(Berlin, G. Reimer, 1830). 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 6. Band"". No backstrip. A fine and clean copy. [Jacobi:] pp. 257-286. [Entire issue: Pp. 215-310 + 1 folded plate.].‎

‎First printing of Jacobi's paper on infinit series. ""Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame."" (DSB)‎

书商的参考编号 : 45096

‎"JACOBI, C. G. J.‎

‎De usu legitimo formulae summatoriae Maclaurinianae.‎

‎Berlin, G. Reimer, 1834. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 12 Band, 1834"". Fine and clean. Pp. 263-72.‎

‎First printing of Jacobi's short but highly important paper in which he prooved Faulhaber's formula.‎

书商的参考编号 : 47256

‎"JACOBI, C. G. J.‎

‎Elementarer Beweis einer merkwürdigen analytischen Formel, nebst einigen aus ihr folgenden Zahlensätzen.‎

‎Berlin, G. Reimer, 1840. 4to. In ""Journal für die reine und angewandte Mathematik, 1848."". Without backstrip. Fine and clean. Pp.: 13-32 [Entire volume: 13-100 pp.].‎

‎First printing of Jacobi's proof an analytical formula. ""Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame."" (DSB)‎

书商的参考编号 : 46406

‎"JACOBI, C. G. J.‎

‎Nota de erroribus quibusdam geometricis, qui in theoria fonctionum leguntur.‎

‎Berlin, G. Reimer, 1837. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 16. band, Heft 4, 1837. Entire fourth heft offered. Fine and clean. Pp. 342-3. [Entire volume: Pp. 285-376 + 1 folded plate].‎

‎First printing. ""Most of Jacobi’s fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle’s Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame."" (DSB).‎

书商的参考编号 : 47531

‎"JACOBI, C. G. J.‎

‎Observatio arithmetica de numero classium divisorum quadraticorum formae yy + Azz, designante A numerum primum formae 4n+3.‎

‎[Berlin, G. Reimer, 1832]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1832, Pp. 189-192.‎

‎First appearance of Jacobi's very first paper on class number formula. The search for a class number formula probably began with Gauss, but the first formula in print was proposed by Jacobi (1832). He conjectured it on the evidence of some results of Cauchy in the theory of circle division, and his own brilliant extrapolation (or einduction"" as they called it then) from numerical results. Jacobi's formula was correct, but by no means proved by him. In a memorial speech for Jacobi, Dirichlet later said ""I believe it should be mentioned, regarding the previously unknown origin of this result, that Jacobi's communication is a noteworthyexample of shrewd induction, even though it is not possible to base a rigorous proof on circle division" it appears necessary to use essentially different principles, involving integral calculus and the theory of series, which were only later introduced into the subject. (Dirichlet, 1852).‎

书商的参考编号 : 49762