‎Mathematics‎

‎"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.‎

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

Bookseller reference : 48892

‎"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.‎

Bookseller reference : 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.‎

Bookseller reference : 48894

‎"HORN, JACOB.‎

‎Über die asymptotische Darstellung der Integrale linearer Differentialgleichungen.‎

‎(Berlin, Stockholm, Paris, 1901). 4to. Without wrappers as ectracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", vol. 24, pp. 289-308.‎

‎First edition of this importent paper on Divergent Series. Horn's theorem included Poincare's results. ""The results of Poincaré and Horn have been extended to various other types of differential equations and generalized by inclusion of the cases where roots of the characteristic equation are not necessarely distinct."" (Morris Kline).‎

Bookseller reference : 39162

‎"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

‎"HOTELLING, HAROLD.‎

‎Differential Equations Subject to Error, and Population Estimates.‎

‎[No place, no printer], 1927. 8vo. Without wrappers (as issued). Offprint from: ""Journal of the American Statistical Association"", September, 1927. Fine and clean. Pp. 283-314.‎

‎Scarce offprint of Hotelling's paper on differential equations in statistics. ""Harold Hotelling, a creative thinker in both mathematical statistics and economics. [...] His influence on the development of economic theory was deep though it occupied a relatively small part of a highly productive scientific life devoted primarily to mathematical statistics"" only ten of some 87 published papers were devoted to economics, but of these sic are landmarks which continue to this to lead to further developments"" (New Palgrave).‎

Bookseller reference : 48846

‎"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.‎

‎First appearance of this collection of important papers which, amongst others, contains the questions to whether the involutes are algebraic.""Besides his two pedagogical works, it was through numerous memoirs (approximately 150, which have been collected) that Humbert held a major place in the mathematical discovery and production of his time. His writings were inspired by his interest in the study of algebraic curves and surfaces and were marked by the lucidity with which he related the problems biography in encountered in this area to questions of analysis and number theory.He thus enriched analysis and gave the complete solution of the two great questions of the transformation of hyperelliptic functions and of their complex multiplication. He also pointed out the resulting consequence: the existence of a group of transformations of certain surfaces into themselves constitutes an essential difference between the geometry of surfaces and that of curves. But, most important, he completed the work of Hermite by pursuing the applications to number theory throughout his life.""The present volume also contain contribution by Caspary and Hilbert.‎

Bookseller reference : 49018

‎"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.‎

Bookseller reference : 46504

‎"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.].‎

‎First printing of Hurwitz's paper on Riemann surface theory and hyperbolic geometry, today known as a Hurwitz surface" essentially a compact Riemann surface with precisely 84(g - 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of Hurwitz's theorem on automorphisms.The present volume contain several other papers by influential contemporary mathematicians.‎

Bookseller reference : 47139

‎"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.‎

Bookseller reference : 49150

‎"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,‎

Bookseller reference : 49761

‎"HÖLDER, OTTO.‎

‎Die einfachen Gruppen im erasten und zweiten Hundert der Ordnungszahlen.‎

‎Leipzig, B.G. Teubner, 1892 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XL. [40]. Band. 1. Heft."" Entire issue offered. Internally very fine and clean. [Hölder:] Pp. 55-88. [Entire issue: Pp. 1-156].‎

‎First printing of Hölder's paper on group theory. ""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)The issue also contains: 1. Klein, Felix. Ueber den Hermite'schen Fall der Lame'schen Differentialgleichung. Pp. 125-29.2. Klein, Felix. Ueber den Begriff des functionentheoretischen Fundamentalbereichs. Pp. 130-39.‎

Bookseller reference : 44529

‎"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).‎

Bookseller reference : 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""‎

Bookseller reference : 39472

‎"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.‎

‎First printing of a major paper by James Ivory.""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).‎

Bookseller reference : 42623

‎"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).‎

Bookseller reference : 42621

‎"JACOBI, C. G. J.‎

‎Auflösungen und Beweise einer Reihe von Aufgaben und Lehrsätzen der ebenen Geometrie (+) Beweis eines geometrischen Satzes.‎

‎Berlin, G. Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 31 Band, 2. Heft, 1846"". In the original printed wrappers, without backstrip. Fine and clean. [Jacobi:] Pp. 93-110" " Pp. 178-180. [Entire issue: Pp. 93-180, (2) + 2 plates.].‎

‎"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].‎

‎"JACOBI, C. G. J.‎

‎De tranformatione integralis duplicis indefiniti in formam simpliciorem (I + II).‎

‎[Berling, G. Reimer, 1831]. 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1831. Fine and clean. Pp. 253-279" Pp. 321-357.‎

‎"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.‎

‎"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.].‎

‎"JACOBI, C. G. J.‎

‎Nachrichten von Büchern. - [JACOBI'S REVIEW OF LEGENDRE]‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 413-17.‎

‎"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].‎

‎"JACOBI, C. G. J.‎

‎Note sur une nouvelle application de l'analyse des fonctions elliptiques à l'algèbre.‎

‎Berlin, G. Reimer, 1831. 4to. Contemporary binding with marbled paper over boards. In ""Journal für die reine und angewandte Mathematik"", 7. band, Heft 1, 1831. Entire heft 1. offered. Fine and clean. Pp. 41-43. [Entire offered volume: IV, 104 pp.].‎

‎"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.‎