‎Mathématiques‎

‎"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....""‎

书商的参考编号 : 39160

‎"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....""‎

书商的参考编号 : 49620

‎"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.‎

‎"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.‎

‎"HILL, G. W.‎

‎On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sum and Moon. - [THE HILL DETERMINANT]‎

‎Berlin, Stockholm, Paris, Beijer, 1886. 4to. Bound with the original printed wrappers in contemporary half calf. In ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 8. Entires issue offered. Fine and clean. Pp. 1-36 [Entire volume: (4), 392 pp.].‎

‎Second printing (with some additions) of Hill's important paper in he introduced the the Hill Determinant or Hill's Equations""The memoir of 1877 entitled On the Part of the Motion of the Lunar Perigee Which Is a Function of the Mean Motions of the Sun and Moon contains the incontrovertible evidence of Hill’s mathematical genius. He was led to a differential equation, now called Hill’s equation, that is equivalent to an infinite number of algebraic linear equations. Hill showed how to develop the infianite determinant corresponding to these equations.""‎

书商的参考编号 : 50827

‎"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)‎

书商的参考编号 : 59015

‎"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.‎

‎"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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 36633

‎"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.‎

书商的参考编号 : 42640

‎"HOEM, JAN (+) NIELS KEIDING.‎

‎Stochastic stable population theory with continuous time. I.‎

‎[No place], (Almqvist & Wiksell), 1976. 8vo. In the original printed wrappers. Offprint from: ""Scandinavian Actuarial Journal "", 1976. Very fine and clean, near mint. Pp. 150-75.‎

‎Offprint of Norwegian actuarial scientist and statistician Jan Hoem's important paper on stochastic stable population theory. 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 : 48861

‎"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.‎

书商的参考编号 : 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.‎

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

‎"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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 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,‎

书商的参考编号 : 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.‎

书商的参考编号 : 44529