‎Mathématiques‎

‎"JACOBI, C.G.J.‎

‎Zur Theorie der ellipschen Functionen (+) Sur l'elimination des noeuds dans le probleme . - [JACOBI ON THE THREE-BODY PROBLEM]‎

‎Berlin, G. Reimer, 1843. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 26. Band, zwanzigster Heft"". No backstrip. A fine and clean copy. Pp. 93-114" " Pp. 115-131.‎

‎"JACOBI, C.G.J.‎

‎Über die unmittelbare verification einer Fundamentalformel der Theorie der elliptischen Functionen (+) Über die partielle Differentialgleichung, welcher die Zähler und Nenner der elliptischen Functionen.‎

‎Berlin, G. Reimer, 1848. 4to. In the original wrappers, no backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 36. Band, Erstes [1] Heft"". Entire issue offered. A fine and clean copy. Pp. 75-89. [Entire volume: IV, (2), 96, (2) pp.].‎

‎"JACOBI, C.G.J.‎

‎Über die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und höhern Transcendenten (+) Über einige der Binomialreihe analoge Reihen (+) Über eine neue Methode zur Integration der hyperelliptischen Differentialgleichungen ...‎

‎Berlin, G. Reimer, 1846. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 32. Band, Drittes Heft"". No backstrip. A fine and clean copy. Pp. 185-196" Pp. 197-204 " Pp. 220-226.‎

‎"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.‎

‎"JACOBI, C.G.J. - KINETICS OF THE TOP.‎

‎Sur la rotation d'un corps.‎

‎(Berlin, Georg Reimer, 1850). 4to. Later marbled wrappers. In ""Journal für die reine und angewandte Mathematik, 39. Band, 24 Heft. Jacobi's paper takes up the whole issue . pp. 293-350.‎

‎First printing of main paper in Rigic Body Dynamics, where Jacobi studied the motion of a top and derived the analytic solution for the motion of a free body and defined the so-called ""Jacobi analytic functions"". The problem was first treated by Leonhard Euler in 1758 in the case where the fixed point is the centre of gravity of the top, but it was Jacobi who first solved the problem completely, making use of elliptic functions which he himself had introduced.‎

Riferimento per il libraio : 46889

‎"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).‎

Riferimento per il libraio : 41885

‎"JACOBI, CARL G.J.‎

‎Collection of 4 Memoirs: 1. De formatione et proprietatibus Determinantium. 2. De determinantibus functionalibus. 3. De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum. - 4. Zum combinatorischen Analysis. - [INTRODUCING ""DETERMINANTS"" AND ""JACOBIANS""]‎

‎Berlin, G. Reimer, 1841. 4to. Without wrappers as Heft 4 in ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 22, heft 4. Titlepage to Heft 4. and pp. 285-380 +(2) pp. and 1 engraved plate. Jacobis papers: 1. pp. 285-318, 2. pp. 319,359, 3. pp. 360-371 and 4. pp. 372-374.‎

‎First printing of 2 importent and influential papers by Jacobi. In 1841 ""Carl Jacobi (1804-1851) develops the theory of determinants, including mention of the ""functional determinant"" or ""Jacobian"" in his paper ""De formatione et proprietatibus Determinantium"" (the first paper offered here). Later in the same year hepublishes a further development specifically of the theory of acobians in the memoir ""De determinantibus functionalibus"" (the second paper offered here). He shows for instance,that the Jacobian of a set of n functions in n variables is identically zero if and only if the functions are mutually dependent. Although functional determinants had been used earlier, they are later named after Jacobi due to his extensive development of their properties."" (Claire L. Parkinson in Breakthroughs).‎

Riferimento per il libraio : 40627

‎"JESSEN, BØRGEN.‎

‎Bidrag til Integralteorien for Funktioner af uendelig mange Variable.‎

‎København, Gads Forlag, 1930. 4to. In the original printed wrappers. With author's presentation inscription to front wrapper: ""Hr Docent Dr Phil A. F. Andersen / fra deres hengivne / Børge Jessen"". Light sunning to extremities, otherwise fine and clean. 66 pp.‎

‎First edition of Jessen's doctoral thesis. He later elaborated the thesis into an article that was published in Acta Mathematica in 1934. The same year, he was appointed as a docent at The Royal Veterinary and Agricultural University in Denmark.Børge Christian Jessen (1907 – 1993) was a Danish mathematician best known for his work in analysis, specifically on the Riemann zeta function, and in geometry, specifically on Hilbert's third problem.‎

Riferimento per il libraio : 59467

‎"JOACHIMSTHAL, FERDINAND. - PRESENTATION COPY.‎

‎De Duabus Aequationibus quarti et sexti Gradus quae in Theoria linearum et superficierum Secundi Ordinis occurrunt. Commentatio Algebraica... Universitatum Litterarum Vratislaviensi..‎

‎Berlin, Typis Reimerianis, 1856. 4to.No wrappers as issued. (2),24 pp. Some additions in pencil on the first 3 pages. Inscribed on titlepage ""Viro amicissimo Kummer/ autore"" (Ernst Eduard Kummer, the famous mathematician, was Joachimsthal's teacher).‎

‎First edition of Joachimsthal's second ""Habilitationsschrift"" published the year when he was called to Breslau as professor in mathematics.Today Joachimsthal's name is associated with ""Joachimsthal Surfaces"", which possess a family of plane lines of curvature within the planes of a pencil" the Joachimsthal theorem concerning the intersection of two surfaces in three-dimensional real Euclidean space along a common line of curvature and a theorem on the four normals to an ellipse from a point inside it.‎

Riferimento per il libraio : 45811

‎"JORDAN, CAMILLE.‎

‎Commentaire sur Galois.‎

‎Leipzig, B.G. Teubner, 1869. 8vo. Bound in later half cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 1., 1869. Entire volume offered. Library stamp to front free end-paper and title-page. Internally a few light brown spots.. Pp. 141-160. [Entire volume: Pp. IV-636.]‎

‎First printing of the very first issue of the influential mathematical journal ""Mathematische Annalen"" containing Camille Jordan famous paper on Galois group theory. ""When Jordan started his mathematical career, Galois's profound ideas and results (Which had remained unknown to most mathematicians until 1845) were still very poorly understood. Jordan was the first to embark on a systematic development of the theory of finite groups and of its applications in the directions opened by Galois. Chief among his first results were the concept of composition series and the first part of the famous Jordan-Hölder theorem, proving the invariance of the system of indexes of consecutive groups in any composition series (up to their ordering). He also was the first to investigate the structure of the general linear group and of the ""classical"" groups over a prime finite field, and he very ingeniously applied his results to a great range of problems" in particular, he was able to determine the structure of the Galois group of equations having as roots the parameters of some well-known geometric configurations (the twenty-seven lines on a cubic surface, the twentyhypheneight double tangents to a quartic, the sixteen double points of a Kummer surface, and so on).Another problem for which Jordan's knowledge of these classical groups was the key to the solution, and to which he devoted a considerable amount of effort from the beginning of his career, was the general study of solvable finite groups. From all we know today (in particular about p groups. a field which was started, in the generation following Jordan, with the Sylow theorems) it seems hopeless to expect a complete classification of all solvable groups which would characterize each of them, for instance by a system of numerical invariants. Perhaps Jordan realized this" at any rate he contented himself with setting up the machinery that would automatically yield all solvable groups of a given order n."" (DSB)""There have been few mathematicians with personalities as engaging as that of Galois, who died at the age of twenty years and seven months from wounds received in a mysterious duel. He left a body of work-for the most part published posthumously less than 100 pages, the astonishing richness of which was revealed in the second half of the nineteenth century. Far from being a cloistered scholar, this extraordinarily precocious and exceptionally profound genius had an extremely tormented life. A militant republican, driven to revolt by the adversity that overwhelmed him and by the incomprehension and disdain with which the scientific world received his works, to most of his contemporaries he was only a political agitator. Yet in fact, continuing the work of Abel, he produced with the aid of group theory a definitive answer to the problem of the solvability of algebraic equations, a problem that had absorbed the attention of mathematicians since the eighteenth century"" he thereby laid one of the foundations of modern algebra. The few sketches remaining of other works that he devoted to the theory of elliptic functions and that of Abelian integrals and his reflections. on the philosophy and methodology of mathematics display an uncanny foreknowledge of modern mathematics.""‎

Riferimento per il libraio : 52165

‎"KARHUNEN, KARI.‎

‎Über die Struktur stationärer zufälliger Funktionen.‎

‎Stockholm, Almqvist & Wiksells Boktryckeri AB, 1949. 8vo. In the original printed wrappers. Offprint from: ""Arkiv för matemativ, Utgivet av Kungl. Svenska Vetenskapsakademien"", Band 1, Nr 13. Previous owner's name to top of front wrapper. Pp. 141-160.‎

‎Scace offprint of Karhunen's paper on the structure of stationary random functions. Karhunen is famous for the Karhunen-Loève theorem and Karhunen-Loève transform.‎

Riferimento per il libraio : 48891

‎"KEES, F. K. [FRIEDRICH KÖES].‎

‎Ratio Complanandi Superficies Curvas Corporum quorumlibet Geometricorum.‎

‎Leipzig, Grosse & Gleditsch, 1729. 4to. In: ""Actorum Eruditorum Supplementa Tomus IX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 45-50. [Entire volume: (2), 509, (24), + two engraved plates.].‎

‎First publication of perhaps the first attempt to create a formula describing curvature or curved surfaces, thus making it one of the most important Danish contributions to mathematical history. The result is given in a double-integral.Euler established the theory of surfaces in his 'Recherches sur la courbure des surfaces', 1767. Gauss later took a fundamentally different approach to the study of surfaces"" in contrast to Euler he represented the points of a surface in terms of two external parameters. Gauss then derived his own notions of the fundamental quantities of surfaces, e.g. arc length, angle between curves, and curvature.Niels Nielsen ""Matematikeni Danmark 1528-1800"", Koës No. 9. Observator i Berlin, privatdocent i Kiel, underviste artilleriofficererne i Rendsborg, blev 1721 ordinær professor i matematik ved Kiels Universitet.(Pihl, Københavns Universitet 1479-1979, Bind XII, P. 146)‎

Riferimento per il libraio : 45324

‎"KEILL, IOANNES [JOHN KEILL] (+) CHRISTIANUS WOLFFIUS [CHRISTIAN WOLFF].‎

‎Epistola ad Clarissimum Virum Christianum Wolfium in Academia Regio Fridericiana Mathematum Professorem [Keill] (+) Responsio ad epistolam viri clarissimi Johannis Keill (+) Monitum circa experimentum de circulatione aeris per poros ligni [Wolf].‎

‎Leipzig, Grosse & Gleditsch, 1710. 4to. In: ""Acta Eruditorum Anno MDCCX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 11-15" Pp. 78-80 Pp. 80-1. [Entire volume: Pp. (4), 535, (37) + seven engraved plates.].‎

‎First publication of the dispute between the mathematician Keill and philosopher Wolf about the existence of vacuum. Wolf is widely regarded the most eminent German philosopher between Leibniz and Kant.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎

Riferimento per il libraio : 44263

‎"KILLING, WILHELM.‎

‎Die Zusammensetzung der stetigen endlichen Transformationsgruppen. - [THE FOUNDATION OF A STRUCTURE THEORY FOR LIE ALGEBRAS]‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII. [33] Band. 1. Heft."" Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Killing:] Pp. 1-48. [Entire issue: Pp. IV,160 pp].‎

‎First publication of Killing's seminal paper in which he laid the foundation of a structure theory for Lie algebras.""In particular he classified all the simple Lie algebras. His method was to associate with each simple Lie algebra a geometric structure known as a root system. He used linear transformation, to study and classify root systems, and then derived the structure of the corresponding Lie algebra from that of the root system.""(Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences)Unfortunately for Killing a myth arose that his work was riddled with error, which later has been proved untrue. ""As a result, many key concepts that are actually due to Killing bear names of later mathematicians, including ""Cartan subalgebra"", ""Cartan matrix"" and ""Weyl group"". As mathematician A. J. Coleman says, ""He exhibited the characteristic equation of the Weyl group when Weyl was 3 years old and listed the orders of the Coxeter transformation 19 years before Coxeter was born.""The theory of Lie groups, after the Norwegian mathematician Sophus Lie, is a structure having both algebraic and topological properties, the two being related.‎

Riferimento per il libraio : 44433

‎"KILLING, WILHELM.‎

‎Die Zusammensetzung der stetigen endlichen Transformationsgruppen. - [THE FOUNDATION OF A STRUCTURE THEORY FOR LIE ALGEBRAS]‎

‎Leipzig, B.G. Teubner, 1888. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1888 durch Rudolf Friedrich Alfred Clebsch. XXXIII. [33] Band. 1. Heft."" Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Killing:] Pp. 1-48. [Entire issue: Pp. IV,160 pp].‎

‎"KILLING, WILHELM.‎

‎Zur projectiven Geometrie.‎

‎Leipzig, B.G. Teubner, 1893. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1893 durch Alfred Clebsch und Carl Neumann. 43. Band.41. Heft."" Entire issue offered. [Killing:] Pp. 569-90. [Entire issue: Pp. 457-601 pp].‎

‎First printing of German mathematician Killing's paper on projective geometry. Killing is famous for his contributions to the theories of Lie algebras, Lie groups, and non-Euclidean geometry.‎

Riferimento per il libraio : 44434

‎"KIRCHHOFF, GUSTAVE ROBERT - KIRCHHOFF'S HYDRODYNAMICS.‎

‎Ueber die Bewegung eines Rotationskörpers in einer Flüssigkeit. + Ueber die Kräfte. welche zwei unendlich dünne, starre Ringe in einer Flüssigkeit scheinbar auf einander ausüben können. (2 Papers).‎

‎Berlin, G. Reimer, 1870. 4to. Without wrappers. In: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 71. Bd., Heft 3, pp. (2),201-304. Entire issue offered with titlepage. Kirchhoff's papers: pp. 237-262 and pp. 263-273. Light browning to titlepage. A few scattered brownspots to margins.‎

‎First printing of these two importent papers, forming the substance of Kirchhoff's hydrodynamics.Kirchhoff was the first to show how the differential equations as used on rigid bodies, could elegantly be used on ideal fluid bodies, to. (The Kirchhoff-Clebsch equations).The issue contains further R. Lipschitz: Entwicklung einiger Eigenschaften der quadratischen Formen von n Differentialen. 1.-2. Mittheilung. Pp. 274-287 and 288-304.‎

Riferimento per il libraio : 41673

‎"KLEENE, S. C. [STEPHEN COLE].‎

‎On Notation for Ordinal Numbers.‎

‎Wisconsin, The Association for Symbolic Logic, 1938-39. Lev8vo. Entire volume one of ""Journal of Symbolic Logic"" (i.e. number 1-4), March 1938, June 1938, October 1938, January 1939. Bound in blue half cloth with gilt lettering to spine. Crossed-out library paper-label to lower part of spine and top left corner of front board. Two library stamps (in Chinese) to verso of title page. Internally a very fine and clean copy of the entire volume. [Kleene:] Pp. 150-55. [Entire volume: IV, 212 pp.].‎

‎First printing Kleene's milestone paper in which Kleene's O (Ordial numbers), a recursive function, is introduced. In set theory and computability theory, Kleene's is a canonical subset of the natural numbers when regarded as ordinal notations.""In the seventeenth century, Leibniz envisaged a universal language that would allow one to reduce mathematical proofs to simple computations. Then, during the nineteenth century, llgicians such as Charles Babbage, Boole, Frege and Peano tried to formalize mathematical reasoning by an ""algebraization"" of logic. Finally, [...] Gödel, Church and Stephen Kleene introduced the notion of recursive functions. (The Princeston Companion to Mathematics. P. 111).The volume also contains the following papers of interest:1. Quine, W. V. Completeness of the propositional calculus. Pp. 37-402. Quine, W. V. On the theory of types. Pp. 125-39.3. Church, Alonzo. Additions and corrections to A bibliography of symbolic logic. Pp. 178-92.‎

Riferimento per il libraio : 44273

‎"KLEENE, S. C. [STEPHEN COLE].‎

‎On Notation for Ordinal Numbers.‎

‎Wisconsin, The Association for Symbolic Logic, 1938-39. Lev8vo. Entire volume one of ""Journal of Symbolic Logic"" (i.e. number 1-4), March 1938, June 1938, October 1938, January 1939. Bound in blue half cloth with gilt lettering to spine. Crossed-out library paper-label to lower part of spine and top left corner of front board. Two library stamps (in Chinese) to verso of title page. Internally a very fine and clean copy of the entire volume. [Kleene:] Pp. 150-55. [Entire volume: IV, 212 pp.].‎

‎"KLEIN, FELIX‎

‎Beweis für die Nichtauflösbarkeit der Ikosaedergleichung durch Wurzelzeichen.‎

‎Leipzig, B.G. Teubner, 1905. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. 61. Band. 3. Heft."" Entire issue offered. Internally very fine and clean. Pp. 369-371. [Entire issue: Pp. 289-452].‎

‎First printing of Klein's paper on the Icosahedron.""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎

Riferimento per il libraio : 46191

‎"KLEIN, FELIX.‎

‎Neue Untersuchungen im Gebiete der elliptischen Functionen.‎

‎Leipzig, B.G. Teubner, 1886. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XXVI. [26]. Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 455-464. [Entire issue: Pp. 309-464].‎

‎First printing of Klein's paper on elliptic functions. ""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎

Riferimento per il libraio : 44526

‎"KLEIN, FELIX.‎

‎Ueber die Auflösung gewisser Gleichungen vom siebenten und achten Grade.‎

‎Leipzig, B. G. Teubner, 1879. 8vo. In the original wrappers without backstrip. In ""Mathematische Annalen"", Volume 15, heft 2, 1879. Entire issue offered. Very fine and clean. Pp. 251-282. [Entire issue: 161-304].‎

‎First printing of Klein's paper on the solution to seven and eight grade equations.‎

Riferimento per il libraio : 47140

‎"KLEIN, FELIX.‎

‎Ueber die sogenannte Nicht-Euklidische Geometrie (+) Ueber die sogenannte Nicht-Euklidische Geometrie. (Zweiter Aufsatz). - [TWO MAIN WORKS ON NON-EUCLIDEAN GEOMETRY]‎

‎Leipzig, B.G.Teubner, 1871 u. 1873. Bound in 2 later full cloth. Small stamp on foot of titlepages.In. ""Mathematische Annalen. In Verbindung mit C. Neumann begründet durch Rudolf Friedrich Alfred Clebsch"", IV. und VI. Band. (4),637 pp. a. (4),642 pp., 6 plates. Klein's papers: pp. 573-625 a. pp. 112-145. Both volumes offered.‎

‎First edition of these 2 papers which unifies the Euclidean and Non-Euclidean geometries, by reducing the differences to expressions of the ""distance function"", and introducing the concepts ""parabolic"", ""elliptic"" and ""hyperbolic"" for the geometries of Euclid, Riemann and of Lobatschewski, Gauss and Bolyai. He further eliminates Euclid's parallel-axiom from projective geometry, as he shows that the quality of being parallel, is not invariant under projections.Klein build his work on Cayley's ""distant measure"" saying, that ""Metrical properties are not properties of the figure per se but of the figure in relation to the absolute."" This is Cayley's idea of the general projective determination of metrics. The place of the metric concept in projective geometry and the greater generality of the latter were described by Cayley as ""Metrical geometry is part of projective geometry."" Cayley's idea was taken over by Felix Klein....It seemed to him to be possible to subsume the non-Euclidean geometries, hyperbolic and double elliptic geometry, under projective geometry by exploring Cayley's idea. He gave a sketch of his thoughts in a paper of 1871, and then developed them in two papers (the papers offered here).Klein was the first to recognize that we do not need surfaces to obtain models of non-Euclidean geometries....The import which gradually emerged from Klein's contributions was that projective geometry is really logically independent of Euclidean geometry....By making apparent the basic role of projective geometry Klein paved the way for an axiomatic development which could start with projective geometry and derive the several metric geometries from it.""(Morris Kline).The offred volumes cntains other importen mathematical papers by f.i. by Klebsch, Lipschitz, Neumann, Noether, Thomae, Gordan, Lie, Du Bois-Raymond, Cantor (Über trigonometrische Reihen),etc.(Sommerville: Bibliography of Non-Euclidean Geometry p. 45 a. 49.)‎

Riferimento per il libraio : 41204

‎"KLEIN, FELIX.‎

‎Ueber die Transformation elfter Ordnung der elliptischen Functionen. (i.e. ""On the eleventh order transformation of elliptic functions""). - [BELYI'S THEOREM]‎

‎Leipzig, B. G. Teubner, 1879. 8vo. In the original wrappers without backstrip. In ""Mathematische Annalen"", Volume 15, heft 3 + 4, 1879. Entire issue offered. Very fine and clean. Pp. 533-554. [Entire issue: 305-576 + 1 folded plate].‎

‎First printing of what later was to be known af Belyi's theorem or Belyi functions named after G. V. Belyi in 1979. Belyi functions and dessins d'enfants dates to the work of Felix Klein" he used them in this study an 11-fold cover of the complex projective line with monodromy group PSL.‎

Riferimento per il libraio : 47155

‎"KLEIN, FELIX.‎

‎Ueber einen liniengeometrischen Satz (+) Zur Interpretation der complexen Elemente in der Geometrie (+) Eine Uebertragung des Pascal'schen Satzes auf Raumgeometrie (+) Ueber den allgemeinen Functionsbegriff und dessen Darstellung durch eine willkürlic...‎

‎Leipzig, B. G. Teubner, 1883. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 22., 1883. 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. VI, 592 pp.‎

‎First printing of Klein's papers on geometry.""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎

Riferimento per il libraio : 48043