‎Mathématiques‎

‎"SAURIN, JOSEPH.‎

‎Solution et Analyses de quelques Problêmes appatenans aux nouvelles Méthodes. (+) Solution Generale du Probleme, ou parmi une infinité de Courbes semblables décrites sur un Plan vertical, & aiant un même axe & un même point d'origine, il s'agit de...‎

‎(Paris, Jean Boudot, 1711). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1709"". Pp. 26-35 a. 1 folded engraved plate. + pp. 257-266 a. 1 folded engraved plate.‎

‎First printing of two historical papers in the development of the diffrential calculus.""Saurin’s two papers (1709) on curves of quickest descent represent a solution of a problem first posed by Jakob I Bernoulli - to find which of the infinitely many cycloids linking a given point as origin to a given line is the curve of quickest descent from the point to the line - and then an extension of the problem to any family of similar curves. Saurin followed the differential methods of Johann I Bernoulli, although he studiously avoided taking a position in the brothers’famous quarrel.""(DSB).‎

书商的参考编号 : 45235

‎"SCHEFFERS, GEORG.‎

‎Zurück-führung komplexer Zahlensysteme auf typische formen. - [MODERN ALGEBRA]‎

‎Leipzig, B. G. Teubner, 1891. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 39., 1891. 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. 293-390 . [Entire volume: IV, 600 pp. + 1 plate.]‎

‎First printing of Scheffers's important paper which contributed considerably to the development of modern algebra. Scheffers here distinguishes between a ""Nichtquaternion system"" (Nqss) and a Quaternion system (Qss). In today's language, Scheffers' Qss has the quaternion algebra as a subalgebra.Scheffers anticipates the concepts of direct product of algebras and direct sum of algebras with his section on reducibility, addition, and multiplication of systems. Thus Scheffers pioneered the structural approach to algebra. The volume contain several other papers by influential contemporary mathematicians.‎

书商的参考编号 : 47127

‎"SCHLÄFLI, L.‎

‎Sur les coefficients du développement du produit 1. (1 + 2)(1 + 2x) ... (1+(n-1)x) suivant les puissances ascendantes de x. - [SCHLÄFLI'S FORMULA]‎

‎Berlin, G. Reimer, 1852. 4to. As extracted, without backstip. With the original front wrapper. In ""Journal für die reine und angewandte mathematik"", band 34, heft 1. Stamp to verso of both title-pages. Pp. 1-23. [Entire heft 1: IV, 92, (2) pp.].‎

‎First appearance of Schläfli's Formula.‎

书商的参考编号 : 53145

‎"SCHOENFLIES, ARTHUR MORITZ.‎

‎Beiträge zur Theorie der Punktmengen I-I (+) Beiträge zur Theorie der Punktmengen II (+) Beiträge zur Theorie der Punktmengen III. - [SCHOEFLIES FAMOUS STUDIES IN TOPOLOGY]‎

‎Leipzig, B.G. Teubner, 1904, 1906. 8vo. In ""Mathematische Annalen, 58. Band, 1904" 59. Band, 1904" 62. Band, 2. Heft, 1906"". 58. Band and 62. Band in the original printed wrappers, without backstrips. Date written with pencil to both front wrappers. 59. Band bound in half cloth with the original wrappers, with wear to spines. All three issue internally very fine and clean. Pp: 195-234" Pp. 129-160" Pp.286-328.‎

‎First printing of this influential series of papers by Schoenflies, his ""fundamental researches into the topological aspects of point set theory"" (Anderson. Who gave you the epsilon? P. 144).""The greater part of Schoenflies' original contributions to topology is contained in three papers [The offered] and is devoted to plane topology. He proved the topological invariance of the dimension of the square, and he invented the notions and theorems that are connected with the characterization of the simple closed curve in the plane by its dividing the plane into two domains of which it is the everywhere attainable boundary. There are numerous gaps and wrong statements in this part of Schoenflies' work, and these errors led L. Brouwer to some of his startling discoveries."" (DSB).‎

书商的参考编号 : 44917

‎"SCHÖNEMANN, T.‎

‎Grundzüge einer allgemeine Theorie der höhern Congruenzen, deren Modul eine reelle Primzahl ist. - [FIRST PUBLICATION OF HENSEL'S LEMMA]‎

‎Berlin, G. Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 31. Band, 4 Heft, 1846"". In the original printed wrappers, without backstrip. Fine and clean. [Schönemann:] Pp. 269-325. [Entire issue: Pp. 269-358, (2) + 1 plate.].‎

‎First printing of Schönemann's paper in which Hensel' Lemma first was introduced - several years before Kurt Hensel published his paper on the subject. He obtained several important results in number theory concerning the theory of congruences, which all can be found in several publications in Crelle's journal, volumes 17 to 40. Notably he obtained Hensel's lemma before Hensel, Scholz's reciprocity law before Scholz, and formulated Eisenstein's criterion before Eisenstein.‎

书商的参考编号 : 46279

‎"SEGRE, CORRADO.‎

‎Etude des différentes surfaces du 4e ordre à conique double ou cuspidale (générale ou décomposée) considérées comme des projections de l'intersection de deux variétés quadratiques de l'espace à quatre dimensions. - [SEGRE SURFACES]‎

‎Leipzig, B.G. Teubner, 1884. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 24, 1884. 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. 313-444. [Entire volume: IV, 592 pp.].‎

‎"SFORTUNATI, GIOVANNI.‎

‎Nuovo Lume. Libro di Arithmetica.‎

‎Venice, Nicolo di Aristotile detto Zoppino, 1534. 4to. Later full cloth with a bit of wear. Internally with a light damp-stain affecting lower outer margin of the first leaf and last two leaves. A few occasional marginal annotationS in contemporary hand. A very fine and clean copy. 129 ff. (including the final blank). Misnumbered 7 as 8, 71 as 72 and 107 as 105.‎

‎"SHANNON, C.(LAUDE) E.‎

‎Prediction and Entropy of Printed English. (Manuscript received Sept. 15, 1950). - [FIRST MEASUREMENTS OF ""SHANNON ENTROPY"".]‎

‎(New York, American Telephone and Telegraph Company, 1951). 8vo. Volume XXX, 1951 of The Bell System Technical Journal. Bound without the general title-page in a nice full green cloth. Library stamp to front free end-paper and first page of tables of contents. Very minor bumping to extremities. A tight and clean copy. Pp. 50-64. [Entire volume: 32, 1255 pp).‎

‎First edition of Shannon's famous article in which he measures the entropy rate of English text to be between 1.0 and 1.5 bits per letter, or as low as 0.6 to 1.3 bits per letter.""A new method of estimating the entropy and redundancy of a language is described. This method exploits the knowledge of the language statistics possessed by those who speak the language, and depends on experimental results in prediction of the next letter when the preceding text is known. Results of experiments in prediction are given, and some properties of an ideal predictor are developed."" (From the introduction to the present article).""Natural languages are highly redundant"" the number of intelligible fifty-letter English sentences is many fewer than 26*50, and the number of distinguishable ten-second phone conversations is far smaller than the number of sound signals that could be generated with frequencies up to 20.000 Hz. This immediately suggests a theory for signal compression. If you can recode the alphabet so that common sequences of letters and abbreviated, while infrequent combinations are spelled out in lengthy fashion, you can dramatically reduce the channel capacity needed to send the data."" (Sethna, Statistical Mechanics: Entropy, Order Parameters and Complexity, Oxford University Press, 2006, pp. 100).‎

书商的参考编号 : 42745

‎"SHANNON, C.E.‎

‎Probability Error for Optimal Codes in a Gaussian Channel.‎

‎(New York), American Telephone and Telegraph Compagny, 1959. Orig. printed wrappers. A stamp on frontwrapper and first leaf. ""The Bell System Technical Journal"", Volume 38, Number 3, pp. 611-907. The Shannon paper: pp. 611-656.‎

‎First edition. ""A study is made of coding and decoding systems for a continous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge in between. Curves exhibiting these bounds are given."" (Shannon p. 611). - Hook & Norman: 898.‎

书商的参考编号 : 38947

‎"SHANNON, CLAUDE, E.‎

‎The Synthesis of Two-Terminal Switching Circuits. - [SHANNON'S EXPANSION]‎

‎New York, American Telephone and Telegraph Company, 1949. 8vo. Volume XXVIII, 1949, No. 1 of ""The Bell System Technical Journal"". In the original printed blue wrappers. Wear and tears to spine. Inner front hinge loosening. Previous owner's name to front wrapper. Internally fine and clean. Pp. 59-98 [Entire issue: 163 pp].‎

‎First publication of Shannon's paper on how a Boolean function can be represented by the sum of two sub-functions of the original. The function was later named Shannon's Expansion or the Shannon Decomposition. ""The area of switching circuits design and optimization was a focus of considerable attention. Boolean algebra provided the basic mathematical foundation for switching circuit design. Shannon provided a basis for the The Synthesis of Two-Terminal Switching Circuits in 1949"". (Ashar, Sequential logic synthesis, 1992, p. 1).Claude Shannon is widely regarded as being the father of information theory and cryptography. Other papers contained in the present issue:1. Albersheim, W.J.Propagation of TE01 Waves in Curved Wave Guides. Pp. 1-32.2. Pierce, J.R." Hebenstreit, W.B. A New Type of High-Frequency Amplifier. Pp. 33-51.3. Hollenberg, A.V.Experimental Observation of Amplification by Interaction Between Two Electron Streams. Pp. 52-58.4. Robertson, Sloan D. A Method of Measuring Phase at Microwave Frequencies. Pp. 99-103.5. Rice, S.O.Reflection from Corners in Rectangular Wave Guides - Conformal Transformation. Pp. 104-135.6. Rice, S.O.A Set of Second-Order Differential Equations Accociated with Reflections in Rectangular Wave Guides - Application to Guide Connected to Horn. Pp. 136-156.‎

书商的参考编号 : 43340

‎"SHEWHART, W. A.‎

‎Quality Control Charts. - [THE FATHER OF STATISTICAL QUALITY CONTROL]‎

‎New York, American Telephone and Telegraph Company, 1926. Lex8vo. Volume V, October, No. 4, 1926 of ""The Bell System Technical Journal"". In the original printed blue wrappers. Light sunning to spine. Internally fine and clean. Pp. 593-603. [Entire issue: Pp. 529-661 + 2 folded plates + ""Tables for the Article By E.T. Hoch: pp. 572a - 572c].‎

‎"SHEWHART, W. A.‎

‎Quality Control.‎

‎New York, American Telephone and Telegraph Company, 1927. 8vo. In the original printed blue wrappers. In ""The Bell System Technical Journal"", Volume VI, October, Number 4, 1927. Entire issue offered. Light miscolouring to spine. A fine fine and clean copy. Pp. 722-735. [Entire issue: 551-752 pp.].‎

‎"SHEWHART, W.A.‎

‎Correction of Data for Errors of Measurement. (+) Correction of Data for Errors of Averages. (2 papers).‎

‎New York, Bell Telephone Laboratories, 1926. Orig. printed wrappers to both papers. Both punched with three holes in inner margin as issued. Offprints from ""The Bell System Technical Journal"", Vol. V. The offprints separately paginated: 16 pp. and 12 pp. The first clean and fine, the second with light wear to wrappers.‎

‎"SHEWHART, W.A.‎

‎Economic Control of Quality of Manufactured Product.‎

‎New York, American Telephone and Telegraph Company, 1930. Original full fabrikoid, gilt lettering to spine. In ""The Bell System Technical Journal"", Vol. 9, 1930. (10),842 pp., textillustrations and plates. The entire volume offered. Shewhart's paper: pp.364-389, textfigs. Clean and fine.‎

‎"SIEBECK.‎

‎Ueber die graphische Darstellung imaginärer Functionen.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Siebeck:] Pp. 221-253" [Steiner)] Pp. 356-378.‎

‎"SLEPIAN, DAVID.‎

‎A Class of Binary Signaling Alphabets.‎

‎(New York), American Telephone and Telegraph Company, 1956. 8vo. Volume XXXV (35), January, Number 1, part 2, 1935 of ""The Bell System Technical Journal"". In the original blue printed wrappers. Previous owner's name to front wrapper. Some discouloring and wear to spine, as well as a tear that goes in to the front wrapper, no loss. A nice and clean copy. Pp. 203-234. [Entire issue: 247 pp.].‎

‎"SLONIMSKI, CH. Z. [CHAIM ZELIG SLONIMSKI], [HAYYIM SELIG].‎

‎Allgemeine Bemerkungen über Rechenmaschinen, und Prospectus eines neu erfundenen Rechen-Instrument (+) Eine allgemeine Formel für die gesammte jüdische Kalenderberechnung. - [FIRST RUSSIAN CALCULATOR]‎

‎Berlin, G. Reimer, 1844. 4to. In ""Journal für die reine und angewandte Mathematik, 28 Band, 2. Heft, 1844"". In the original printed wrappers, without backstrip. Fine and clean. [Slonimskyi:] Pp. 179-183" " Pp. 184-190. [Entire issue: Pp. 97-192, (2) + 1 plate.].‎

‎"SONIN, N. (NIKOLAY YAKOVLEVICH).‎

‎(Sur la fonction discontinue (x) et ses applications par N. Sonin). In Russian, but transcribed by the author in his own hand on the title-page.‎

‎Varsovie, 1889. Orig. printed wrappers. (2),78 pp. Inscribed to the Danish mathematician Niels E. Nørlund: ""A Monsieur N. Nörlund/ hommage de l'auteur"" together with the title translated into French by Sonin.‎

‎"SPINOZA, BENEDICTUS de.‎

‎Renati des Cartes Principiorum Philosophiae Pars I, & II, More Geometrico demonstratae. Accesserunt Cogitata Metaphysica, In quibus difficiliores, quaetam in parte Metaphysices generali, quàm speciali occurrunt, quaestiones brevitur explicantur. - [REFORMATION OF THE NEW PHILOSOPHY]‎

‎Amsterdam, Apud Johannem Riewerts, 1663. Small 4to. Orig. blank paper boards, most of backstrip lacking and wear to extremities, but tight. Woodcut illustr. to title-page and several woodcut mathematical and physical illustrations throughout. Annotations to both free end-paper. Some minor brownspotting and even light browning to leaves. A very nice and attractive copy. (16), 140 pp. (being title-page, Preface w. Errata, Index, Ad Librum, the main text (pp. 1- 90) and the Appendix, being the Cogitata Metaphysica w. its own half-title, (pp. (91-140).‎

‎"STEICHEN, E.‎

‎Exposé de diverses remarques et reflexions sur les moments et d'autres sujets de statique.‎

‎Berlin, Georg Reimer, 1852. 4to. In the original wrappers, without backstrip. In ""Journal für die reine und angewandte Mathematik"", 44 band, 3. heft. Entire issue offered. Fine and clean. Pp. 181-219. [Entire issue: Pp. 181-276 + 2 folded plates].‎

‎First printing.‎

书商的参考编号 : 47447

‎"STEICHEN, E.‎

‎Mémoire de mécanique, relatif au mouvement de rotation et au mouvement naissant des corps solides.‎

‎Berlin, G. Reimer, 1852. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 43. band, Heft 3, 1852. Entire third heft offered. Fine and clean. Pp. 185-244. [Entire volume: Pp. 185-282 + 3 plates.].‎

‎First printing of Steichen's paper the rotational movement of solids.‎

书商的参考编号 : 47536

‎"STEINER, J.‎

‎Sur le maximum et le minimum des figures dans le plan, sur la sphére et dans l'espace en général. Second mémoire.‎

‎(Berlin, G. Reimer, 1842) 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 34 Band, Heft, 1842"". Without wrappers and backstrip. Fine and clean. Pp.189-250.‎

‎First printing of Swiss mathematician Steiner's ""outstandingly clear and brilliant exposition"" on the sphere in general (Klein, Development of Mathematics in the 19th Century P 118).""Students and contemporaries wrote of the brilliance of Steiner's geometric research and of the fiery temperament he displayed in leading others into the new territory he had discovered. Having set himself the task of reforming geometry, Steiner sought to discover simple principles from which many seemingly unrelated theorems in the subject could be deduced in a natural way."" (DSB)‎

书商的参考编号 : 47252

‎"STERN. [MORITZ ABRAHAM].‎

‎Theorie der Kettenbrüche und ihre Anwendung. I-IV.‎

‎Berlin, G. Reimer, 1833. 4to. In ""Journal für die reine und angewandte Mathematik, 1848."". Entire issue offered in the original printed wrappers, without backstrip. Fine and clean. [Entire volume: 392 pp.].‎

‎First printing of Stern's important papers on continued fractions which is the first systematic summary of the theory.As a professor at Göttingen University Stern taught Bernhard Riemann along with Gauss. Stern also helped Ferdinand Eisenstein in formulating a proof of the quadratic reciprocity theorem.‎

书商的参考编号 : 46405

‎"STIELTJES, (THOMAS). - THE ""STIELTJES INTEGRAL"" INTRODUCED.‎

‎Recherches sur les fractions continues.‎

‎(Paris, Gauthier-Villars), 1894. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 118, No 25. Pp. (1371-) 1442. (Entire issue offered). Le Chatelier's paper: pp. 1401-1411.‎

‎First printing of the milestone paper in which Stieltjes introduced the ""Stieltjes Integral"". He is often called ""the father of the analytic theory of continued fractions"" for his work in this area. ""On 18 June 1894 he published Recherches sur les fractions continues in Comptes Rendus de l'Académie des Sciences. A fuller version of this work appeared in the Annales de la Faculté des Sciences de Toulouse."" The integral which he introduced here while solving the moment problem, that is, given the moments of all orders of a body, find the distribution of its mass."".... a mathematical milestone. The work represents the first general treatment of continued fractions as part of complex analytic function theory"" previously, only special cases had been considered."" (Encyclopaedia Britannica).Parkinson ""Breakthroughs"" 1894 M.‎

书商的参考编号 : 49880

‎"STÄCKEL, PAUL und FRIEDRICH ENGEL.‎

‎Gauss, die beiden Bolyai und die nichteuklidischen Geometrie.‎

‎(Leipzig, Teubner, 1897). Lex8vo. No wrappers. Extracted from ""Mathematische Annalen"" Bd. IL, pp. 149-206.‎

‎First edition.‎

书商的参考编号 : 36196