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185560473Kazan, Kazan University Press, 1855-56. 4to (263 x 216 mm). In a nice later half calf binding with four raised bands and marbled paper covered boards. Extracted from ""Uchenye zapiski, Imperatorskago Kazanskago Universiteta"", 1855, vol. 1. Two library-stamps to p. 51 with offsetting to p. 50 and small stamp to last free end-paper. With very light creasing to outer margin, otherwise a fine and clean copy. 56 pp.
184360233Marosvásárhely, Kali Simon, 1843. 8vo. In a simple contemporary half calf with gilt ornamentation to spine forming five compartments. Later paper title-label with gilt lettering pasted on to spine, partly detached in right margin. Light wear to extremities. Stamp to front free end-paper. First leaves evenly lightly browned. An overall fine and clean copy. XLIV, 386 pp. + 2 folded plates, one with 12 folding flaps with partial grey colouring.
188814319Braunschweig: Vieweg 1888. WITH: O. Fischer Matyas Lerch E. Phragmen C. Neumann C. Meray. 1. DEDEKIND Richard <br /> <br /> Was sind und was sollen die Zahlen. Braunschweig: Vieweg and Son 1888.<br /> <br /> 8vo. xviii 58 pp. including half-title.<br /> <br /> First edition rare of Dedekind’s important work on set theory. His epochal 1872 publication Stetigkeit und irrationale zahlen gave the first rigorous definition of the system of real numbers laying the foundation for much of modern day real analysis and point-set topology. This his follow-up work elaborates on his attempts “to derive a purely logical foundation for arithmetic and devised a number of axioms that formally and exactly represented the logical concept of whole numbers†DSB. Dedekind 1831-1916 a German mathematician friend and colleague of Georg Cantor claimed all of mathematics to be a branch of logic. In this work The nature and meaning of numbers he “presents a theory of the integers using set-theoretic concepts and outlines a possible approach to placing the rationals on a logistically well-founded axiomatic basis†Parkinson p. 415.<br /> <br /> <br /> 2. FISCHER Otto<br /> <br /> Konforme abbildung sphärischer dreiecke auf einander mittelst algebraischer funktionen. Leipzig: von Metzger & Wittig 1885.<br /> <br /> 8vo. 76 pp. Complete with half-title and 2 large folding plates on heavier stock.<br /> <br /> First edition of the author’s thesis on conforming images of spherical triangles by means of algebraic functions. Fischer 1861-1916 was a German physiologist and mathematician earning a doctorate degree from the Franke Foundation in Halle an der Saale in 1885 under Felix Klein. His main interest was the mechanics of the muscles and joints of the human musculoskeletal system. He was a professor at the University of Leipzig where he taught both medicine and mathematics.<br /> <br /> <br /> <br /> <br /> <br /> 3. PHRAGMÉN Lars Edvard<br /> <br /> Über die Berechnung der einzelnen Glieder der Riemann’schen primzahlformel. Stockholm: Kongliga vetenskaps-Akademiens Förhandlingar 1891.<br /> <br /> 8vo. pp. 721-744.<br /> <br /> First edition of this famous work on the calculation of the individual members of the Riemann prime number formula.<br /> <br /> The son of mathematics teachers Phragmén 1863-1937 also taught mathematics before obtaining his degree at the University of Uppsala. He was an editor at the Acta Mathematica where he corresponded with Poincare to correct a book in which he found a number of errors. He was also president of the Swedish Society of Actuaries. He is best known however for the Phragmén-Lindelöf principle an extension of the maximum modulus principle of complex analysis to unbounded domains. <br /> <br /> 4. NEUMANN Carl<br /> <br /> Ueber den Satz der virtuellen verrückungen; Ueber das princip der virtuellen oder facultativen verrückungen. Leipzig: von Breitkopf und Härtel 1869.<br /> <br /> Two separate papers. 8vo. pp. 257-280; 53-64. In Konigl. Sachs. Gesellschaft der Wissenchaften. With annotations on the first couple of pages. At the end of the second paper a thank you by C.F. Gauss.<br /> <br /> Two works on virtual displacements. Neumann created the second-type boundary which when imposed on an ordinary or partial differential equation if specifies the value that the derivative of a solution is to take on the boundary of the domain. <br /> <br /> Neumann 1832-1925 was professor of mathematics at both the Universities of Tübingen and Leipzig. His main interests were in applied mathematics and he wrote on mathematical physics potential and electrodynamics. He was also editor of Mathematische Annalen.<br /> <br /> 5. LERCH Matyáš<br /> <br /> Contributions à la théorie des fonctions; Addition au mémorie présenté dans la séance du 15 Octobre Prag 1886.<br /> <br /> Two separate papers. 8vo. pp. 571-582; pp.423-432. With a 4 page letter containing mathematical <br /> <br /> <br /> symbols handwritten by Lerch to Karl Weierstrass 1815-1897 tipped in between the two papers. The letter is signed by Lerch and dated October 1890. A small section of page 582 is crossed out in the same hand.<br /> <br /> First printings of Lerch’s contributions to general mathematical functions. These papers are the first in a series dealing with the general theory of functions the most significant of which constitutes construction of continuous functions having no derivative. These works were written quite early. Lerch 1860-1922 showed exceptional abilities while still studying at the Czech Technical University at Prague. Before 1896 he published more than 110 scientific papers in domestic as well as prominent foreign journals. Much of his work concerned mathematical analysis including theories of infinite series of the gamma function of elliptic functions and the integral calculus.<br /> <br /> Weierstrass is generally referred to as the father of modern analysis. He made significant contributions and advancements in the field of calculus of variations. Numerous theories and functions bear his name.<br /> <br /> 6. MÉRAY Hugues Charles Robert<br /> <br /> Théorie des radicaux fondée exclusivement sur les propriétés générales des séries entières. Dijon Darantiere 1885.<br /> <br /> 8vo. 75 1 pp. Title page in manuscript signed by Méray and dated Dijon 1891. With annotations throughout probably by the author for another edition.<br /> First edition of Méray’s famous work Radical theory based exclusively on the general properties of power series. <br /> <br /> Méray 1835-1911 is remembered for having anticipated clearly and with only minor differences of style Cantor’s theory of irrational numbers one of the main steps in the arithmetization of analysis. Of interest an earlier “arithmetical†theory of irrational numbers was propounded by Weierstraass in his lectures when he introduced the real numbers as sums of sequences of rational numbers. Dedekind also seems to have developed his theory of irrationals at an earlier date.<br /> <br /> No copies of Phragmén Lerch or Méray are located by OCLC. Vieweg unknown
182851817Wien, Carl Gerold, 1828-30. 8vo. Bound in 4 contemp. hcalf. Gilt spines with gilt lettering. Very light wear to top of spine on vol. 2. A stamp on title-pages and a previous owners name. A printed paperlabel on all 4 frontcovers. A few corners a bit bumped. VIII,439IV,424VIII,439"VI,520 pp. and 3 folded engraved plates. Internally clean and fine.
182845266Wien, Carl Gerold, 1828-30. 8vo. Bound in 4 contemp. marbled boards, titlelabels with gilt lettering. A few scratches to hinges and spine ends. Very small loos to 2 titlelabels. Light wear to top of spine on volume 4. Corners a bit bumped. 2 small paperlabels pasted to lower part of spines. A small stamp to foot of titlepages. VIII,439IV,424VIII,439"VI,520 pp. and 3 folded engraved plates.
182834861Göttingen, Dieterich, 1828. Small 4to. Extracted from: 'Commentationes Societatis Regiae Scientiarum Gottingensis', Volume 6, pp.99-146. 4to. Modern half morocco with gilt spine lettering. Fine and clean throughout.
1810W121006Paris, Garnery & Baudouin 1810 302pp. + 3 planches dépliantes hors-texte (in fine), Edition originale de 1810, 26cm., reliure solide du 19e s. (plats marbrés, dos en cuir brun avec titre et nerfs dorés), feuilles de garde marbrées, quelques pages avec légères mouillures et rousseurs, ancien ex-dono sur la fausse page de titre, bon état, [Cette publication de 1810 par Étienne-Louis Malus (1775-1812) revêt une importance capitale dans l'histoire de l'optique, car elle a contribué à établir la science de la polarisation et a fait progresser la compréhension de la double réfraction dans les cristaux. En 1808, Malus découvrit que la lumière réfléchie par des surfaces devient polarisée. Dans cette étude de 1810, il développa une théorie mathématique et physique expliquant comment la polarisation est liée à la double réfraction. Ces travaux s'avéreront essentiels pour le développement ultérieur de la théorie ondulatoire de Fresnel et de la théorie électromagnétique de Maxwell. Sa théorie, connue sous le nom de "loi de Malus", demeure aujourd'hui fondamentale dans des domaines tels que l'optique, la physique des lasers et la photographie. Son nom est l'un des 72 noms gravés dans la tour Eiffel // This 1810 publication by Etienne Louis Malus is highly important in the history of optics since it helped establish the science of polarization and advanced the understanding of double refraction in crystals. In 1808 Malus discovered that light reflected from surfaces becomes polarized. In this 1810 study he developed a mathematical and physical theory explaining how polarization relates to double refraction. It would turn out to be imporant for the development of the later wave theory by Fresnel and the electromagnetic theory by Maxwell. His theory known as "Malus's Law" remains fundamental up till now in fields such as optics, laser physics and photography. Malus' name is one of the 72 names engraved on the Eiffel tower], W121006
1803172548Modena u. Verona, 1782-1803. 4°. M. 122 gef. Kpfr.-Taf., 8 gef. Tab. u. zahlr. Textkpfrn. Hldrbde. d. Zt. m. Rsch. u. Rsign. Einbde. leicht berieben u. bestoßen. Rücken teils m. leichten Läsuren, einige m. Rsign. Jeweils 5 Bde. uniform geb. St. a. bzw. verso Tit. Etwas gebräunt, insgesamt wohlerhalten.
188739042Torino, Bocca, 1887 + 1888. Royal 8vo. Bound uncut w. the original wrappers of both works in one very nice a bit later (ab. 1920) red hcalf w. five raied bands to back. Single gilt lines to raised bands and gilt title on spine. A bit of soiling to wrappers, which have minor lacks to the inner hinges, where they are mounted onto hinge-strips. Front-wrappers w. stamp from ""Fratelli Bocca Editori"". A bit of brownspotting, mainly to first work. A very fine and attractive copy of these two works, very finely bound together. XII, 334, (2) + X, (2), 170, (2) pp.
184135935Paris, Académie des Sciences, 1841 (submitted 1826). 4to. (257x197mm). Extract from: 'Mém. Acad. d. Sciences de Paris', 1841, pp.176-264. Contemporary half calf with gilt spine lettering. Spine with a little wear. Some light brown spotting throughout. Otherwise fine and clean.
183449559Kazan, 1834. 8vo. Contemporary blank, blue wrappers (original?). A closed tear and a bit of staining to back wrapper and some tears and scratches to spine. Internally very nice and clean. Presumably not an off-print, as there are stitching-holes to the margins, indicating that it has been removed from a volume, although the wrappers could look original, certainly contemporary. With the original title-page for Book 11 of the ""Uchenye zapiski"" + pp. (167)-226.
184160236(Kazan, Universitäts-Buchdruckerei, 1841). 4to. In a contemporary modest half calf over marbled paper boards. Published in a supplement to ""Meteorologische Beobachtungen aus dem Lehrbezirk der Kaiserlich. Russischen Universitaet Kasan"". Heft 1, 1835–1836. 1841. Small stamp to upper outer corner of front free end-paper. A few leaves brownspotted. Book block split between pp. 4 and 5, otherwise a fine copy. 48 pp.
188245854Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and the original wrappers. (except for paper no. 3 and 5 which only has the title page). In ""Acta Mathematica"", volume 1-5. Title pages with library stamp. Internally clean and fine. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312" Vol. V pp. 209-278.
182639053Berlin, Duncker und Humblot, 1826. 4to. Contemp. hcalf. Part of spine lacks, some of spine loose. IV,387,(1) pp. and 5 folded engraved plates. Wide margins, on good paper, light marginal browning, a few scattered brownspots. The whole volume of ""Journal für die reine und angewandte Mathematik. Herausgegeben von A.L. Crelle"" Erster Band. In 4 Heften. Mit 5 Kupfern. Abel's papers: pp. 11-15, pp. 65-84, pp. 159-60, pp. 185-221, pp. 311-339, pp. 153-160, pp. 117-136.
187230419Erlangen, Andreas Deichert, 1872. 8vo. (233x152mm). Uncut with the original printed front-wrapper (loose) - back-wrapper missing. Fine and clean throughout. 48 pp.
188438779Torino, Fratelli Bocca, 1884. 8vo. Cont. full green cloth w. gilt title and ornamentation to spine. Minor occasional browning. A very nice and clean copy. XXXII, 333, (5, -index and errata) pp.
184446875London, Richard and John Taylor, 1844. Contemp. hcalf. Gilt lettering to spine ""Philosophical Magazine"" - Vol. XXV. In: ""The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. Conducted by David Brewster et al."". Vol. XXV. A stamp to titlepage and a few other pages. Entire volume offered (July-December 1844). VIII,552 pp., textillustr. Hamilton's paper: pp. 10-13, 141-145 and 241-246.
184341020Prag [Prague], 1843. 4to. Uncut in the original printed light pink wrappers, with a dicreet new black cloth back-strip. A bit of brownspotting and minor chipping to edges pf wrappers, but overall a very nice copy of this fairly fragile publication. 15, (1) pp.
187941487Baltimore, John Murphy & Co., 1879. 4to, entire issue present (Vol. II, no. 4). With the original printed wrappers. Uncut. Wrappers loose and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. First paper: A Quincuncial Projection of the Sphere pp. (394)-396 + 1 folded table. Second paper: On the Ghosts in Rutherfurd's Diffraction-Spectra pp. (330)-347. [Entire issue: pp. (293)-404 + IV, (2) pp]
181940130Heidelberg, Karl Groos, 1819. Contemp. marbled boards. Title-label with gilt lettering probably of more recent date. A stamp on titlepage. XIV,(2),207 pp. Very light browning to a few leaves and margins, otherwise fine.
188041486Cambridge, 1880. 4to, entire issue present (Vol. III, no. 1). With the original printed wrappers. Uncut. Wrappers detached and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. Pp. (15)-57. [Entire issue 96 pp. + 2 plates]
185747147Berlin, Georg Reimer, 1857. 4to. Spine gone. Covers loose. In: ""Journal für die reine und angewandte Mathematik Crelle/Borchardt"", 54. Band. IV,388 pp. (Entire volume offered). Internally clean and fine. The memoir: pp. 115-155.
187141204Leipzig, 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.
182929272Frankfurt am Main, Johann David Sauerländer, 1829. Cont. marbled boards. A paper-label pasted on front cover with handwritten title. Backstrip a little torn and with repairs. XII,189 pp. and 3 tables. Light yellowing to leaves.
181542184(London, W. Bulmer and Co., 1815 and 1816). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1815 - Part I. and 1816 - Part II. Having both titlepages to the parts. Pp. (2),389-446 and (2),179-256. First titlepage with a stamp on verso. Otherwise fine and clean.