‎Mathématiques‎

‎"RICHELOT, FRIEDRICH JULIUS.‎

‎De transformatione integralium Abelianorum primi ordinis commentatio.‎

‎Berlin, G. Reimer, 1836 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 16. band, Heft 3, 1836. Entire first heft offered. Fine and clean. Pp. 221-84. [Entire volume: Pp. 197-84].‎

‎"RIEMANN, B. (BERNHARD).‎

‎Zur Theorie der Nobili'schen Farbenringe.‎

‎Leipzig, Johann Ambrosius Barth, 1855. Contemp. hcalf, raised bands, gilt spine. A few scratches to spine. Small stamps to verso of titlepages and verso of plates. In ""Annalen der Physik und Chemie. Hrsg. von J.C. Poggendorff"", Bd. 95. (Entire volume offered). (2),X,628 pp. and 6 engraved plates, partly folded. Riemann's paper: pp. 130-139. Clean and fine.‎

‎"RIEMANN, B. (BERNHARD). - RIEMANN-TOPOLOGY AND RIEMANN-SURFACES.‎

‎Theorie der Abel'schen Functionen. (And 3 other memoirs by Riemann of 1857).‎

‎Berlin, 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.‎

‎"RIEMANN, BERNHARD (GEORG FRIEDRICH).‎

‎Beweis des Satzes, dass eine einwerthige mehr als 2nfach periodische Function von n Veränderlichen unmöglich ist.‎

‎Berlin, Georg Reimer, 1869. 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 71, 1869, Fine and clean. Pp. 197-200. [Offered pages: Pp. 97-200.].‎

‎"RIEMANN, BERNHARD.‎

‎Ueber das Verschwinden der (theta)- Functionen.‎

‎Berlin, Georg Reimer, 1866. 4to. In: ""Journal für die reine und angewandte Mathematik"", 65. Bd., Zweites Heft. With title to Zweites Heft (2) pp. and pp. 97-188,(2). Riemann's paper: pp. 161-172.‎

‎"RIESZ, FRIGYES & ERNST FISCHER. - THE ""FISCHER-RIESZ THEOREM""‎

‎Sur les systémes orthogonaux de fonctions. (Reisz) + Sur la convergence en moyenne. (Fischer). + Applications d'un théoreme sur la convergence en moyenne. (Fischer).‎

‎(Paris, Gauthier-Villars), 1907. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 144, No 11, No. 19 and No. 21. Pp. (593-) 664 + pp. (1009-) 1080. + pp. (1137-) 1192.(3 entire issues offered).Reesz' paper: pp. 615-619. Fischer's paper: pp. 1022-1024 a. 1148-51. Nos 19 a. 21 with some small tears to outher margins. paper fragile. Sewing loose.‎

‎"ROBINS, BENJAMIN & LEONARD (LEONHARD) EULER.‎

‎Neue Grundsätze der Artillerie enthaltend die Bestimmung der Gewalt des Pulvers nebst einer Untersuchung über den Unterschied des Wiederstands der Luft in schnellen und langsamen Bewegungen aus dem Englischen des Hrn. Benjamin Robin übersetzt und mit ...‎

‎Berlin, A. Haude, 1745. Small 8vo. Cont. hcalf. Gilt back. Gilt title-label in red leather on back. Upper compartment of back with a paper-label pasted on. Light scattered browning to leaves, but a good copy. Title-page with 2 rubberstamps. Engraved title-vignette. (16), 720 pp. and 8 folded engraved plates.‎

‎"ROBINS, BENJAMIN & LEONARD (LEONHARD).‎

‎Nouveaux Principes D'Artillerie..., commentés par Leonard Euler, traduits de L'Allemand, avec Notes, Par M. Lombard. - [WITH ROYAL PROVENANCE]‎

‎Dijon & Paris, L.N. Frantin & Jombert, 1783. Bound in fine contemp. full calf, raised bands and richly gilt compartments. Titlelabel with gilt lettering. A stamp on htitle and titlepage. (4),XIV,538,X,(1) pp. and 2 folded engraved plates. Internally clean and fine, printed on good paper.‎

‎"ROBINS, BENJAMIN.‎

‎Traité de Mathématiques,...contenant: Ses Nouveau Principes D'Artillerie, suivis de plusieurs Discours qui leur servent de supplément, & que M. Wilson son Editeur a inséré dans cet Ouvrage. Traduit de L'Anglois Par M. Dupuy fils. - [WITH ROYAL PROVENANCE]‎

‎Grenoble, Joseph-Sulpice Grabit, 1771. Contemp. full calf. Raised bands, richly gilt compartments,titlelabel with guilt lettering. A stamp on htitle and titlepage. XVI,575 pp. and 2 large folded engraved plates. Internally fine and clean. Both covers with the royal coat-of-arms of the Danish king Christian 7.‎

‎"ROBINSON, ABRAHAM.‎

‎Non-Standard Analysis. - [THEORY OF INFINITESIMALS]‎

‎Amsterdam, North-Holland, 1966. 8vo. Publishers full cloth with dust jacket. Both in fine condition. Previous owners signature to front free end paper.Otherwise completely clean throughout. A fine copy.‎

‎"ROLLE, (MICHEL).‎

‎De L'Evanouissement des Quantitez inconnues dans la geometrie analytique.‎

‎(Paris, Jean Boudot, 1711). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1709"". Pp. 419-461.‎

‎"ROSENTHAL, G.E. (HRSG.).‎

‎Encyklopädie aller mathematischen Wissenschaften, ihrer Geschichte und Literatur in alphabetischer Ordnung. Erste Abtheilung enthaltend: die reine Mathematik und praktische Geometrie. 1.-4. Bd. (A-F). Mit einer Vorrede von Kästner. Hrsg. von G. E. Ros...‎

‎Gotha, Ettinger, 1794-96. Lex8vo. Bound in 4 contemp. hcalf. Gilt spines, title- and tomelabels with gilt lettering. A paperlabel pasted on upper part of spines. Stamp on title-pages. With 48 folded engraved plates.‎

‎Seems to be all published volumes of ""Erste Abtheilung"". - Poggendorff II, 697.‎

書籍販売業者の参照番号 : 52134

‎"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).‎

書籍販売業者の参照番号 : 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.‎

書籍販売業者の参照番号 : 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.‎

書籍販売業者の参照番号 : 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).‎

書籍販売業者の参照番号 : 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.‎

書籍販売業者の参照番号 : 46279

‎"SCHÖNFINKEL, M. (MOSES) + HILBERT, DAVID. - FOUNDING COMBINATORIAL LOGIC.‎

‎Über die Bausteine der mathematischen Logik. (+ Hilbert:) Die Grundlagen der Physik.‎

‎Julius Springer, Berlin 1924. 8vo. Bound with the original front wrapper in contemp. full cloth with gilt lettering to spine. Top of spine worn. In ""Mathematische Annalen, 92 Band. (2), 316 pp. (Entire volume, bound together with volume 91 offered). Schönfinkel's paper: pp. 305-316. Hilbert's paper: pp. 1-32‎

‎"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.].‎

‎"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).‎

書籍販売業者の参照番号 : 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.‎

書籍販売業者の参照番号 : 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.‎

書籍販売業者の参照番号 : 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].‎

‎First appearance of Shewhart's seminal first publication on Quality control charts. Shewhart, the father of statistical quality control, created the basis for the control chart by experiments that are now an integrated part of all statistical control. ""Shewhart successfully brought together the disciplines of statistics, engineering, and economics and became known as the father of modern quality control. Shewhart was concerned that statistical theory serve the needs of industry. He exhibited the restlessness of one looking for a better way. A man of science who patiently developed and tested his ideas and the ideas of others, he was an astute observer of developments in the world of science and technology. In that respect, the field of quality control can claim a genuine pioneer in Shewhart."" (Berger, Roger W. The Certified quality engineer handbook, 2002, P. 55). Other papers contained in the present issue:1. Anderson, S.E. Radio Signaling System for the New York Police Department. Pp. 529-538.2. Carson, John R. Wave Propagation in Overhead Wires with Ground Return. Pp. 539-554.3. Hoch, E.T.Electrode Effects in the Measurement of Power Factor and Dielectric Constant of Sheet Insulating Materials. Pp. 555-572c.4. Willis, F.C." Melhuish, L.E.Load Carrying Capacity of Amplifiers. Pp. 573-592. 5. Thorndike, Frances. Applications of Poisson's Probability Summation. Pp. 604-624.6. Wilburn, S.D. Line Current Regulation in Bridge Polar Duplex Telegraph Circuits. Pp. 625-635.7. Hitchcock, H.W.Carrier-Current Communication on Submarine Cables. Pp. 636-651.‎

書籍販売業者の参照番号 : 43343

‎"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.].‎

‎First appearance of Shewhart's seminal second publication on Quality control which gave birth to the entire field of statistical quality control thus created the basis for the control chart by experiments that are now an integrated part of all statistical control. ""Shewhart successfully brought together the disciplines of statistics, engineering, and economics and became known as the father of modern quality control. Shewhart was concerned that statistical theory serve the needs of industry. He exhibited the restlessness of one looking for a better way. A man of science who patiently developed and tested his ideas and the ideas of others, he was an astute observer of developments in the world of science and technology. In that respect, the field of quality control can claim a genuine pioneer in Shewhart."" (Berger, Roger W. The Certified quality engineer handbook, 2002, P. 55).‎

書籍販売業者の参照番号 : 50443

‎"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.‎

‎First editions in the offprint issues of two of Shewhart's main papers that reveals the evolution of his thinking and methods on the way to founding the science of statistical quality control or statistical proces control.""Shewhart was concerned that statistical theory serve the needs of industry. He exhibited the restlessness of one looking for a better way. A man of science who patiently developed and tested his ideas and the ideas of others, he was an astute observer of developments in the world of science and technology. While the literature of the day discussed the stochastic nature of both biological and technical systems, and spoke of the possibility of applying statistical methodology to these systems, Shewhart actually showed how it was to be done"" in that respect, the field of quality control can claim a genuine pioneer in Shewhart. His monumental work, Economic Control of Quality of Manufactured Product, published in 1931, is regarded as a complete and thorough exposition of the basic principles of quality control"" (ASQ).‎

書籍販売業者の参照番号 : 48799