(Leipzig, B.F. Teubner, 1871 a. 1873). Without wrappers, (wrappers blank to Second Part) as published in ""Mathematische Annalen. Hrsg. von Felix Klein, Walter Dyck, Adolph Mayer."" Vol. IV, pp. 573-625 and vol. VI, pp. 112-145. Kept in a cloth-portfolio.
First edition. In these groundbreaking papers Klein established that if Euclidean geometry is consistent then non-Euclidean geometry is consistent as well and he introduces the adjectives ""parabolic"", ""elliptic"", and ""hyperbolic"" for the respective geometries of Georg Riemann, of Nicolai Lobachevsky, of C.F. Gauss and Janos Bolyai. ""Cayley's idea (that metrical geometry is part of projective geometry) was taken over by Felix Klein (1849-1925) and generalized so as to include the non-Euclidan geometries. Klein, a professor at Göttingen, was one of the lading mathematicians in Germany during the last part of the nineeeeteenth and first part of the twentieth century. During the years 1869-70 he larned the work of Lobatchevsky, Bolyai, von Staudt, and Cayley"" however, even in 1871he did not know Laguerre's result. It seemed to him to be posible to subsume the non-Euclidean geometries, hyperbolic, and double elliptic geometry, under projective geometry byexploiting Cayley's idea. He gave a sketch og his thoughts in a paper of 1871, and then developed them in two papers (1871 a. 1873, the ppers offered here). Klein was the first to obtain models of non-Euclidean geometries."" (Morris Kline). - Sommerville, Bibliography of Non-Euclidean Geometry p.45 (1871) and p. 49 (1873).
Leipzig, B. G. Teubner, 1905. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 61. Band, 1. Heft, 1905"". Fine and clean. [Klein:] Pp. 50-71"" Pp. 72-76. [Entire issue: IV, 160 pp].
First printing of Felix Klein's paper on how to solve fifth and sixth degree equations. Klein considered equations of degree > 4, and was especially interested in using transcendental methods to solve the general equation of the fifth degree. Building on the methods of Hermite and Kronecker, he produced similar results to those of Brioschi and went on to completely solve the problem by means of the icosahedral group. This work led him to write a series of papers on elliptic modular functions, the present paper being one of the last and concluding.As editor of Mathematische Annalen Felix Klein set himself the task of collecting previously unstudied material of Gauss. He organized a campaign to collect materials and enlisted experts in special fields to study them. From 1898 until 1922 he rallied support with fourteen reports, published under the title ""Bericht über den Stand der Herausgabe von Gauss' Werken,"". The present being the sixth.
Lausanne, Imprimerie Bron, 1983. Grand in-8 en feuilles sous cartable illustré (un peu taché, voir image). 2 derniers feuillets très légèrement gondolés. Bien complet des 56 dessins de Félix Vallotton.
Edition originale au tirage limité à 850 exemplaires numérotés (dont 550 HC pour les Amis de l'imprimerie Bron), le nôtre numéro 86.
Genève, Pierre Cailler, collection Peintres et sculpteurs d'hier et d'aujourd'hui, 1953. In-12 broché, couverture illustrée. Petite tache à un mors, pour le reste en belle condition. 100 planches hors-texte en noir et en couleurs - ces dernière contrecollées.
Lausanne, Etudes de Lettres / Lettres et documents, 1975. In-8 broché, couverture imprimée. Illustré de photographies, documents et fac-similés. En très belle condition.
Pully, Maison Pulliérane, 1980. In-4 broché, couverture noire avec initiales argentées, rhodoïd. En belle condition.
Catalogue de l'exposition internationale de gravures de la maison pulliérane (EXPUL). 30 reproductions en noir.
Paris, Dentu, 1809. 8vo & Folio. Four text-volumes and one atlas-volume. Text-volumes uniformly bound (by Harry Larsen) uncut with contemporary blue blank wrappers in recent half calf with gilt lettering to spines. A stamp to title-page in all volumes. With repaired worm-tracts throughout, primarily affecting margins, but with occassional loss of text, otherwise internally clean. LX, 389 (4), 562 + three folding tables (4), 479" (4), 380 pp.Atlas-volume in contemporary half calf with gilt lettering to spine. Worm-tract to inner margin and light margin brownpostting. 25 numbered plates: An engraved portrait of the author, 5 detailed folded maps, 7 plates depicting animals, 8 city plans and views, including a double page plan and view of Buenos Aires, and four bird plates. A complete set.
The preferred first French edition of Azara's highly influential and important work on the region around Río de la Plata, here he charted the region while delineating the boundary between Spanish and Portuguese interests. His work, however, also included his observations on many topics ranging from the geography of the region to characteristics of the many indigenous groups and to zoology in the region. Consequently, he became a naturalist of some note, and Charles Darwin had a high regard for his work. In 1777, Spain and Portugal signed the Treaty of San Ildefonso. As dictated by the treaty, each nation would send a delegation to the Río de la Plata region to negotiate the border dispute between the Portuguese and Spanish colonies. Azara, being a Spanish military officer and engineer, was selected as a member of this delegation and departing quickly for the New World. The Portuguese delegation, however, never arrived, and Azara ended up remaining in the region from 1781 to 1801. In the 20 year period Azara ventured on several expedition in which he began observing the nature of the region. Over the course of his time there, he ""described 448 birds...This number is reduced to 381 when duplications of sex, age, and plumage are taken into account (eight remain unidentified), and 178 of them are the types upon which the scientific names are based."" (Beddall, ""Isolated Spanish Genius. He also identified 78 quadrupeds, 43 of which were new. A number of animals were named after him, including Azara's night monkey (Aotus azarae), Azara's agouti (Dasyprocta azarae), Azara's grass mouse (Akodon azarae), Azara's spinetail (Synallaxis azarae), and Azara's tree iguana (Liolaemus azarai ). Dorsum Azara on the Moon is also named after him.The present work is by far the most extensive and wide-ranging work he published. Vol 3-4 and to a large extend translated from his ""Apuntamientos para la historia natural de los pa?jaros del Paraguay y Rio de la Plata"" (Madrid, 1802-05). Palau 20975 Sabin 2541 Wood, p. 214.
Lausanne, Galerie Paul Vallotton, 1987. In-8 broché à l'italienne. Catalogue d'exposition de 16 pages, illustré de nombreuses reproductions.
Lausanne, Galerie Paul Vallotton, 1987. In-4 broché sur agrafes, couverture couleurs.
Catalogue d'exposition, illustré de nombreuses reproductions.
Leipzig, B.G. Teubner, 1882. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1882 durch Rudolf Friedrich Alfred Clebsch. XIX. [19] Band. 4. Heft."" Entire issue offered. [Poincaré:] Pp. 553-64. [Entire issue: Pp. 435-594].
First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite, discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic, and in the 1881, Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This, however, turned out to be an invitation to at mathematical dispute:""Before the article went to press, Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular, Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's, a leading exponent of the Berlin school. The importance he attached to this matter, however, went far beyond the bounds of conventional priority dispute. True, Klein was concerned that his own work received sufficient acclaim, but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition."" Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein, Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard, Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87.3. Cantor, Georg. Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen. Pp. 588-94.
Leipzig, B.G. Teubner, 1877. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. XII. [12]. Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Klein:] Pp. 503-60. [Entire issue: Pp. pp. 433-576].
Frist printing of Klein's paper on the icosahedron.""A problem that greatly interested Klein was the solution of fifth-degree equations, for its treatment involved the simultaneous consideration of algebraic group theory, geometry, differential equations, and function theory. Hermite, Kronecker, and Brioschi had already employed transcendental methods in the solution of the general algebraic equation of the fifth degree. Klein succeeded in deriving the complete theory of this equation from a consideration of the icosahedron, one of the regular polyhedra known since antiquity. These bodies sometimes can be transformed into themselves through a finite group of rotations. The icosahedron in particular allows sixty such rotations into itself. If one circumscribes a sphere about a regular polyhedron and maps it onto a plane by stereographic projection, then to the group of rotations of the polyhedron into itself there corresponds a group of linear transformations of the plane into itself. Klein demonstrated that in this way all finite groups of linear transformations are obtained, if the so-called dihedral group is added. By a dihedron Klein meant a regular polygon with n sides, considered as rigid body of null volume."" (DSB VII, p. 400).The icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids.
Leipzig, B. G. Teubner, 1908. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1908 durch Alfred Clebsch und Carl Neumann. 65. Band. 4. Heft."" Entire issue offered. Wrappers with a few nicks, internally fine and clean. [Hausdorff:] Pp. 435-505. [Entire issue: Pp. 433-575].
First printing of Hausdorff important paper in which a generalization of Cantor's Continuum Hypothesis was presented for the first time. This is equivalent to what is now called the Generalized Continuum Hypothesis.The continuum hypothesis is a hypothesis, put forth by Georg Cantor in 1877, about the possible sizes of infinite sets. It states: ""There is no set whose cardinality is strictly between that of the integers and that of the real numbers.""Felix Hausdorff is considered to be one of the founders of modern topology and he contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.
Leipzig, B. G. Teubner, 1879. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 14., 1879. 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. 111-172"" Pp. 428-471. [Entire volume: Pp. (4), 576].
First printing of Felix Klein's two hugely influential papers in which he for the first time presented the first recognizable modern ""dessins d'enfants"". Klein called these diagrams Linienzüge (German, plural of Linienzug ""line-track"", also used as a term for polygon).Dedekind did in 1877 publish a paper in which part of the mathematical background for the ""dessins d'enfants"" was present. It was, however, Klein that fully explored, both mathematical and visual, its potential.
Lausanne, Rencontre, collection Monographies des grands artistes suisses, 1970. In-8 carré, pleine toile grège, jaquette. Illustré de nombreuses reproductions en noir et en couleurs.
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.)
Leipzig, B. G. Teubner, 1877. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 12., 1877. 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. Title page missing a small piece of paper to the right margin, not affecting text. Very fine and clean. Pp. 503-60. [Entire volume: IV, 576 pp.].
Frist printing of Klein's paper on the icosahedron.""A problem that greatly interested Klein was the solution of fifth-degree equations, for its treatment involved the simultaneous consideration of algebraic group theory, geometry, differential equations, and function theory. Hermite, Kronecker, and Brioschi had already employed transcendental methods in the solution of the general algebraic equation of the fifth degree. Klein succeeded in deriving the complete theory of this equation from a consideration of the icosahedron, one of the regular polyhedra known since antiquity. These bodies sometimes can be transformed into themselves through a finite group of rotations. The icosahedron in particular allows sixty such rotations into itself. If one circumscribes a sphere about a regular polyhedron and maps it onto a plane by stereographic projection, then to the group of rotations of the polyhedron into itself there corresponds a group of linear transformations of the plane into itself. Klein demonstrated that in this way all finite groups of linear transformations are obtained, if the so-called dihedral group is added. By a dihedron Klein meant a regular polygon with n sides, considered as rigid body of null volume."" (DSB VII, p. 400).The icosahedron is a regular polyhedron with 20 identical equilateral triangular faces, 30 edges and 12 vertices. It is one of the five Platonic solids.The volume contain many other papers by contemporary mathematicians.
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.
Etudes vivantes, 1980. In-4, cartonnage couleurs.
Les paroles de la chansons de Félix Leclerc, mises en images par Gilles Tibo.
Gallimard, 1938. Petit in-8, demi-chagrin bordeaux, dos à 5 nerfs avec titre doré, couvertures conservées, gardes décorées rouge et or. Inscription au premier feuillet, précédant la couverture, reliure très légèrement frottée.
Edition originale sur papier courant, mention fictive de vingtième édition. Cet ouvrage obtint le Prix Femina 1938.
Genève, Fondation pour l'écrit, 2002. In-4 broché, couverture illustrée, très très légèrement défraîchie. Abondamment illustré.
Lausanne, Favre, 2002. In-4 broché, couverture illustrée, très légèrement défraîchie. Abondamment illustré.
Neuchâtel / Paris, Delachaux & Niestlé, sans date. In-8, pleine toile titrée et illustrée (un peu frottée en bords). Longue inscription en face de la première page de texte. Illustré de nombreux dessins à la plume par Philippe Arlen.
Du Genestoux Magdeleine, Félix Lorioux (ill.), Disney Walt:
Reference : 17053
(1934)
Hachette, 1934. In-8, cartonnage couleurs. La liste des défauts est hélas bien longue: dos manquant, bords frottés, manque de papier au premier contreplat, certains dessins en noir ont été coloriés, petit dessin au crayon d'un très jeune artiste sur le dernier feuillet virege). En l'état donc, mais néanmoins très sympathique !
Genève/Paris/Amsterdam, Cherbuliez / Van Bakkenes, 1863. Petit in-8, demi-chagrin, dos lisse orné de filets, roulettes et titre dorés. Reliure un peu passée et frottée, quelques rousseurs.
Leipzig, B. G. Teubner, 1883. 8vo. Bound with the original wrappers in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen"", Volume 22., 1883. Entire volume offered. Wear to extremities. Library label pasted on to top of spine. Small library stamp to lower part of 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).