"RIEMANN, BERNHARD. - FOUNDING A NEW GEOMETRY.Livre Rare Book
455 résultats
187353254London and New York, Macmillan and Co., 1873. 4to. Orig. full brown cloth, gilt spine, pictorial gilt frontcover. Near mint condition. Small embossed stamp at upper corner of title-page (David Dunlop ObservatoRy Library). In: ""Nature, a weekly illustrated Journal of Science."", Volume VIII, May 1873 to October 1873. XII,562 pp. (Entire volume offered). Riemann's paper: pp. 14-17 a. 36-37. Internally clean and fine, no traces of use.
187353254London and New York Macmillan and Co. 1873. 4to. Orig. full brown cloth gilt spine pictorial gilt frontcover. Near mint condition. Small embossed stamp at upper corner of title-page David Dunlop ObservatoRy Library. In: "Nature a weekly illustrated Journal of Science." Volume VIII May 1873 to October 1873. XII562 pp. Entire volume offered. Riemann's paper: pp. 14-17 a. 36-37. Internally clean and fine no traces of use. <br/><br/><em>First English translation of this milestone work on the foundations of geometry. It "is one of the key work from which derives the modern study of differential geometry and especially the study of manifolds of dimension greater than two. It was to prove central to the overthrow of Euclidean geometry as the source of geometrical ideas and to Einstein's general theory of relativity after 1915." Grattan-Guiness "Landmark Writings in Western Mathematics 1640-1940.It is a translation of Riemann's famous Habilitationsvortrag held in 1854 in secondary literature it is often misidentified as his Habilitationsschift but that was concerned with Fourier series and was delivered the year before. Riemann begins his lecture with a remark about a certain darkness that lies at the foundation of geometry. This darkness obscures the relations between that which geometry assumes i.e. the notion of space and the first principles of constructions in space. In Riemann's oponion one must take another approach towards this problem than the usual axiomatic method used ever since Euclid. The approach taken by Riemann is to a large extent guided by Gauss's work on the intrinsic geometry of surfaces; 'Disquisitiones generales circa superficies curvas' 1828. In this work Gauss showed that the curvature of a surface can be determined without reference to the ambient Euclidean space in which it lies i.e. that the curvature is an intrinsic property of the surface. Based on this Gauss showed several fundamental theorems about figures on the surface by referring only to the surface itself i.e. indicating that the surface itself is a space with its own geometry independent of the geometry of the ambient Euclidean space. Riemann argues that the true objects and properties of geometry are those which can be studied within the space itself and he defines a general n-dimensional space in a similar manner to the parametric representation of a surface. Riemann believed that we know space only locally he therefore bases his study of the geometry of such a general space or manifold as they are known today on the infinitesimal methods of calculus. This choice is a crucial departure from the classical axiomatic methods used by Euclid Lobachevsky and Bolyai. The notion of distance or metric on a manifold is a generalization of the usual Euclidean distance formula in n-dimensions. Particular choices of space and metric reveal both the hyperbolic geometries of Lobachevsky and Bolyai and elliptic or Riemannian geometry. Riemann's approach to geometry is of paramount importance this work "did more to change our ideas about geometry and physical space than any work on the subject since Euclid's Elements." Landmark Writings in Western Mathematics p.507. "The importance of this treatise is not confined to pure mathematics. Without it Einstein would not have been able to develop his general theory of relativity." Printing and the Mind of Man p.177. </em> hardcover
1826W107940Paris, Imprimerie Nationale 1826-1828 Ouvrage complet en 2 tomes, reliés en 1 volume : viii,400 + 123pp., Edition originale de 1826-1828, 28cm., reliure cart. d'amateur usée, quelques rousseurs occasionnelles, peu commun, [Augustin-Louis Cauchy, 1789-1857, était l'un des mathématiciens modernes les plus importants, ayant influencé fortement le développement des mathématiques au 19e siècle], W107940
185942296(London, Richard Taylor and William Francis, 1859). 4to. No wrappers as extracted from ""Philosophical Transactions"" Vol. 149 - Part I. Pp. 61-90. Clean and fine.
185942296London Richard Taylor and William Francis 1859. 4to. No wrappers as extracted from "Philosophical Transactions" Vol. 149 - Part I. Pp. 61-90. Clean and fine. <br/><br/><em>First appearance of this pathbreaking paper in which Cayley unites 'Metrical Geometry' and 'Projectice Geometry' by introducing "imaginary" elements to metrical properties."The fundamental notions in metrical geometry are the distance between two points and the angle between two lines. Replacing the concept of distance by another also involving "imaginary" elements Cayley provided the means for unifying Euclideangeometry and the common non-Euclidean gemoetries into one comprehensive theory."Bell in "Men of Mathematics".In non-Euclidean geometry prepared the way for Klein's splendid discovery that the geometry of Euclid and the non-Euclidean geometries of Lobatchewsky and Riemann are all threee merely different aspects of a more general kind of geometry which includes them as special cases.Dealing with the relations between metrical and projective geometry Klein remarks In "Entwicklung der Mathematik" Teil I p. 148: "Vor allem kommt für uns sein Cayley's berühmtes 'A Sixth Memoir upon Quantics" im betrachtt. Quantioc heisst soviwel "Form" d.h. homogenes Polynom von zwei drei oder mehr Variablen wonach man binäre tertiäre usw. Formen unterscheidet." </em> unknown
180517590Paris, Bernard (imprimerie de H.L. Perronneau), XIII-(1805) ; in-4, demi-basane marbré, dos lisse, titre en long (reliure moderne) ; (4), 56 pp., 1 planche hors texte gravée par Aubertin d'après L.J. Girard.
182422024Berlin, Reimer, 1824/25. XXX, 482 SS.; 2 n.n. Bll., 384 SS., 16 ausfaltbare Tafeln. 8°, Pappbände der Zeit, handschr. Rückenschildchen, Bibliothekslaufschildchen, gesprenkelter Schnitt, Einbände mit Kleisterpapier der Zeit bezogen. Berieben und an den Kanten etwas bestoßen.
1837PHO-786Bruxelles, Hayez ,1837 , in-4 (275x220) relié demi basane époque , dos lisse avec pièce de titre et auteur , charnière fendue , coiffe arasée.
1874158772 vol. in-folio relié demi-chagrin noir, plats de percaline bordeaux avec mention au plat sup. "Ecole Polytechnique 1874-1875 ou 1875-1876 - P. J. Gaillac", 44 ff. et 33 ff. (en grand nombre de dessins et de lavis sont en double page)
1886104062BBParis, Gauthier-Villars, 1886. Gr.-8°. X, 156 S. 94 Holzstichen im Text. OHln. mit goldgepr. Rückentitel (vord. Orig.-Umschlag beigebunden). [8 Warenabbildungen]
185335896BBDelft 1853. 4° nicht paginiert. Halbleder. Leicht berieben und bestossen, ansonsten sauber und gut erhalten.
1887163361887 4 volumes, reliure demi-basane marron-clair grand in-octavo (half binding sheepskin in-octavo) (17 x 25 cm), reliure d'époque, dos à nerfs (spine with raised bands), décoration or (gilt decoration) à filets et roulettes or (gilt lines and fillets) et filets à froid (blind-stamping decoration), pièce de titre et pièce de tomaison sur fond rouge avec filet or (label of title with gilt line and label of volume numbering), titre et tomaison frappés or (gilt title and volume numbering), roulettes en place des nerfs (fillets on the place of raised bands), dos très légèrement frotté (spine very lightly rubbed), papier peigné aux plats (cover with painting paper), sans illustrations, vi,513,(ii); iv,522; 512; 548pp , 1887/1896 Paris Gauthier- Villars Editeur,
18395629Mit 3 gefalt. lithogr. Tafeln. Prag, Druck u. Papier von G. Haase Söhne, 1839. 4to. (27,5 x 22,1 cm). Titel, 78 S. Neuer Pappband.
18435630Mit 9 gefalt. lithogr. Tafeln. [Prag, Akademie, 1843]. 4to. (27,3 x 22,2 cm). (531)-700 S. Neuer Pappband.
182242079ABBerlin, Maurerschen Buchhandlung, 1822. Dt. EA. 8°. VIII, 518 S. Mit 15 gef. Kupfertaf. Halbleder. Rückenvergold. Ber. u. best. Gebr., tls. wasserrandig. Selten.
1888PHO-823Cambridge ,Deighton, Bell & Co., 1888. 2 volumes , in-8° , relié percale éditeur , XII-264pp , XVI-328pp , première édition rare, cachet ,bon état.
188512-1-269Stuttgart, Wilhelm Kohlhammer, 1885. 8°, XV, 434 S., HLn. d. Zt
1896123317Gauthier-Villars, Paris 1887 - 1896. vi, 513 pages - 522 pages - VIII, 512 pages, VIII, 548 pages, Groß 8°, marmorierte Halblederbände der Zeit mit Rückentitel, Bibliotheks-Exemplare (ordnungsgemäß entwidmet) mit leichten Rückständen vom Rückenschild, Stempel auf Titel, Einband leicht berieben und bestoßen, insgesamt gute und innen saubere Exemplare, (Exemplaires de bibliothèque en bon état général),
1823MATH0310Wien, Überreuter 1819/1823. 5 Bl., 396 S., 1 Bl.; 3 Bl., 636 S., 1 Bl. Mit zus. 52 gef., gest. Tafeln. Halblederbände der Zeit, Kanten beriebven, Kap. mit Einrissen u. Fehlstellen. Titelbl. mit Eignereintrag. Poggendorf I,1037. - Erstmals 1778 erschienen, in unserer Ausgabe wesentlich erweitert. Kluger v. Teschenberg war Offizier und Mathematik-Lehrer an der k.k.Ingenieurs-Akademie. - Die von Bernahrd Biller gestochenen Tafeln zeigen geometrische Figuren, einige Pläne u. detailgetreu Meßinstrumente. [2 Warenabbildungen]
181447988Boston: T.B. Wait and Sons 1814. Second American Edition With Improvements. Octavo 23cm.; contemporary calf recently rebacked new red morocco spine label retaining original endpapers; 2xxviii4315152pp. Boards rather rubbed small dampspot to upper cover some browning to endpapers a few tiny holes to rear free endpaper else Good or better internally sound. Provenance: Copy of seventeen-year-old Samuel Joseph May 1797-1871 future reformer abolitionist and women's rights advocate with his ownership signature dated November 4 1814 to title page front pastedown p. 1 together with his gift inscription to fellow Harvard student Warren Goddard to rear flyleaf verso with Goddard's lengthy ownership inscription as a student at Harvard on front free endpaper a second ownership inscription of Goddard's on front flyleaf noting that the book was actually bought off of May. May graduated from Harvard in 1817 and went on to serve as a Unitarian clergyman collaborating with his friend William Lloyd Garrison in co-founding the New England Anti-Slavery Society the American Anti-Slavery Society and the pacifist New England Non-Resistance Society. SHAW & SHOEMAKER 32520. T.B. Wait and Sons unknown
181921560Planches de l'Atlas imprimées par Tardieu, 1 vol. in-4 relié , rel. d'époque demi-basane marron, Mme Vve Courcier, Paris, 1819, 1 f. blanc, XX-355 pp. (avec insertion de 2 ff. supplémentaires modifiés, correspondant aux pp. 203 à 206) et 8 pp. (catalogue) ; titre, 8 pp. et 60 planches hors texte (dont 3 pl. dépliantes)
180613506Paderborn, Joseph Wesener, 1806. 8°, XVI, 620 Seiten, 2 Blätter (unbeschnitten). mit vielen Figuren im Text und 6, teils mehrfach gefalteten Tafeln (5 Tafeln mit geometrischen Figuren und 1 Übersichtstafel). Späterer Leinen.
1860783871860 Paris, Lacroix, Comon, Baudry, Hachette, 1860, in folio relié demi-chagrin ; quelques petites rousseurs ; dos usé, plats frottés.
18473158Nach dem neuesten Standpuncte der Wissenschaft bearbeitet. Zweite verbesserte und vermehrte Auflage. Mit 14 gefalt. lithogr. Tafeln. Weimar, B. F. Voigt, 1847. 8vo. (20,3 x 11,7 cm). XXVI S., 1 Bl. Berichtigungen, 564 S. Marmorierter Halblederband d. Zt.
1887PHO-789Gauthier-Villars, Paris, 1887/1890 , in-8 (250x170), relié demi cuir époque , dos lisse avec titre,auteur et tomaison, accident à une coiffe, griffures aux dos . XX-263,XI-312,XXVI-269,XX-580 , 4 parties en 2 tomes.Tome I. Calcul différentiel. Fascicule I. Partie élémentaire. Fascicule II. Compléments; Tome II. Calcul intégral. Fascicule I. Partie élémentaire, Fascicule II, Compléments .
