‎Mathématiques‎

‎"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.‎

‎First printing of one of the major papers by Shewart, who is called ""the father of statistical quality control"". This paper, together with some earlier works on statistical control in productions, expanded to his great book, issued in 1931 with the samer title as the offered paper.‎

書籍販売業者の参照番号 : 42255

‎LAGALLY, MAX.‎

‎Vorlesungen über Vektor-Rechnung. Mit 77 Textfig.‎

‎Leipzig, Akademische Verlaggesellschaft, 1945. Orig. hcloth. XVII,361 pp.‎

書籍販売業者の参照番号 : 42355

‎McLACHLAN, N.W.‎

‎Complex Variable & Operational Calculus with Technical Applications.‎

‎Cambridge, University Press, 1939. Orig. full cloth. XI,395 pp.‎

書籍販売業者の参照番号 : 42357

‎BOURBAKI, N.‎

‎Éléments deMathématique. IX + XII. Livre IV: Fonctions d'une Variable Réelle (Theorie élémentaire). Chapitre I-VII. 2 vols.‎

‎Paris, Hermann & Cie, 1949-51. Contemp. full cloth. (4),184,(2),200 pp. Clean and fine.‎

‎First edition. Actualités Scientifiques et Industrielle 1074 and 1132.‎

書籍販売業者の参照番号 : 42437

‎BILLY, P. IACOBO de. [JACQUES de BILLY].‎

‎Diophanti Redividi, pars prior + posterior. In qua, non casu, ut putatum est, sed certissima methodo, &analysi subtiliore, innumera enodantur Problemata, quae (aliud quàm) Triangulum Rectangulum spectant. - [FOUNDATIONAL WORK IN THE EARLY DEVELOPMENT OF NUMBER THEORY]‎

‎Lugduni [Lyon], Apud Ioannem Thioly, 1670. 8vo. Contemporary half calf with simple gilding to spine. Gilt title-label to spine partly missing. Four tiny worm-holes to upper front hinge, just touching front free end-papers and nothing else. Minor edge-wear, but a nice, clean, and tight binding. Ex-libris stamps to title-page (one being R.D.-E. Gelin's, the other unlegible but probably a theological library). Mostly very faint marginal dampstaining to lower margin thorughout, not touching text. Neat old owner's name to inside of front board (Soldner). Without the two blank leaves between the end of the dedication and the beginning of the text (there is clearly no leaf with any text lacking there is either a pagination-error, or there has been one or two blank leaves between the end of the dedication and the beginning of the work. In the other copies that we have been able to find collations of, there has been no leaf a4 nor A1 either - there is no doubt that the text is complete), and without the blank leaf after the end of Part One, but with two blanks at the end of Part Two. (8) pp., pp. 3-302" 140 pp. + two blank leaves.‎

‎Etremely scarce first edition of Jacques de Billy's mathematical magnum opus, known primarily as ""Diophantus Redivivus"" (i.e. ""Diophantus Restored""), in which he gives some of the most important solutions to Diophantine problems, of which he was an expert. The work is highly important within the field of number theory and counts as one of the greatest testimonies to the early development of this branch of mathematics. The copy has belonged to the famous mathematician Johann Georg von Soldner (of the Soldner coordinate system). It was partly due to the rediscovery of Diophantus in the 16th century that Fermat reached his famous ""last theorem"" in the middle of the 17th century, when reading Diphantus' ""Arithmetica"" and engaging himself with the problems presented here. Jacques de Billy (1602-1679), a French Jesuit, who taught mathematics and theology and received the first professorship of mathematics at the Collège de Dijon, was highly interested in the problems that Diophantus had presented in his famous work, and some time before 1659, an active correspondence began between himself and Fermat, which led to, among other things, the his important ""Diophantus Redivivus"". The work includes many of Fermat's discoveries within the field as well as Billy's own take on them.Before a professorship of mathematics had been created at the Collège de Dijon, the mathematical enthusiast Jacques de Billy was master of studies and professor of theology. His love for mathematics meant, however, that he taught the students privately, and one of the most eager students that he thus privately taught was Jacques Ozanan, in whom Billy instilled a profound love for calculus.The only auction-records that we have been able to locate of the present work are that of Macclesfield (2004) and that of Honeyman (1978), both of which are without leaves between a3 and A2, thus lacking these two blanks (if they have ever been there). The Macclesfield-copy has the blank leaf after Part One and the two final blanks at the end of Part Two, but not the other (possible) blanks. The Honeyman-copy lacks all blank leaves, but only these, it seems.Brunet I: 946, stating ""Recherché et rare"" (collation: 302 et 140 pp.). Not in Poggendorf, not in Graesse.The previous owner Johann Georg von Soldner (1776-1833) was a famous German physicist, mathematician and astronomer, early on renowned for his great talent for mathematics (though almost completely self-taught). The Soldner coordinate system, which was in use until the middle of the 20th century in Germany, was named after him, as was the Ramaunajan-Soldner constant, but today he is probably primarily remembered for the final conclusion of light being diverted by heavenly bodies. It was Soldner that Einstein was accused of plagiarizing, when he calculated and published a value for the amount of gravitational light-bending in light skimming the Sun in 1911.""Soldner was simple and reserved in manner, and he valued ral scholarship for its own sake. His painstaiking observational work on the detection of motion among fixed stars could be of value only to future generations of astronomers and illustrates the unselfish spirit of his work. His writings are clear and concise, and he avoided repetionon of what was already common knowledge."" (D.S.B. XII:518).‎

書籍販売業者の参照番号 : 42454

‎"RICCATO, JACOBO. (JACOPO FRANCESCO RICCATI) - DANIELIS BERNOULLI (DANIEL BERNOULLI).‎

‎[Riccati:] Animadversiones in aequationes differentiales secundi gradus. + [Bernouilli:] Notata in praecedens schediasma III. Co. Jacobi Riccati. (In: Actorum Eruditorum, Supplementa. Tomus VIII, 66-75 pp.). - [THE RICCATI-EQUATION]‎

‎Leipzig, Gross & Fritsch, 1724. 4to. Entire volume present. Nice contemporary full vellum. Small yellow paper label pasted to top of spine and library-label to inside of front board. Two smaller library stamps to title-page. Internally some browning and brownspotting, due to the paper quality. Overall a nice and tight copy. [Riccati-paper:] pp. 66-73. [Bernouilli-paper:] pp. 73-75. [Entire volume: (2), 532, (34) pp.].‎

‎The important first printing of Riccati's main work, his influential ""Animadversiones in aequationes differentiales secundi gradus"", in which the famous Riccati-equation is presented + Bernouilli's famous note on it.""In his ""Animadversiones in aequationes differentiales secundi gradus,"" published in Acta Eruditorum in 1724, Riccati suggested the study of cases of integrability [...] which is now known by his name. In response to this suggestion Nikolaus II Bernoulli wrote an important treatise on the equation and Daniel Bernoulli presented, in his Exercitationes quaedam mathematicae, the conditions under which it may be integrated by the method of separation of the variables. Euler also integrated it."" (DSB, XI).""In the supplement volume to Acta Eruditorum, Riccati's paper is immediately followed by Daniel Bernoulli' Notata (St. 5.). As the latter admitted in the Exercitationes, he had Riccati's paper in his hands for two days before it was sent to Leipzig. In this short paper Daniel Bernoulli first claims that equation (D) is not an appropriate example because by substituting dy=q it can easily (""Haud magno negotio"") be reduced to a first order differential equation."" (Die Werke von Daniel Bernoulli, 1996, Birkhäuser, Volker Zimmermann (edt). ""Riccati ( 1676 - 1754) was the son of a noble family who held land near Venice. His renown was such that Peter the Great invited him to come to Russia as president of the St. Petersburg Academy of Sciences. [...]. Riccati carried on an extensive correspondence with mathematicians all over Europe. His work were collected and published, four years after his death, by his sons, of whom two, Vincenzo and Giordano were themselves eminent mathematicians. (DSB, XI).‎

書籍販売業者の参照番号 : 42595

‎"IVORY, JAMES.‎

‎On the Grounds of the Method which Laplace has given in the second Chapter of the third Book of his Mécanique Céleste for computing the Attractions of Spheroids of every Description. Read July 4, 1811. (+) II. On the Attractions of an extensive Class ...‎

‎(London, W. Bulmer and Co., 1812). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1812 - Part I. Pp. 1-45 a. 46-82. A small loss of paper in inner margin of first leaf. No loss of text. Fine and clean.‎

‎First printing of an importent paper in which Ivory comments the methods used by Laplace and substitutes analytical methods for some of Laplace's geometrical considerations. Laplace himself paid tribute to Ivory's work. ""Ivory's scientific reputation, for which he was awarded many honours during his lifetime, including knighthood of the Order of the Guelphs, Civil Division (1831), was founded on the ability to understand and comment the work of the French analysts rather than any great originality of his own...Ivory's work, conducted with great industry over a long period, helped to foster in England a new interest in the application of analysis to physical problems."" (DSB VII. p. 37).‎

書籍販売業者の参照番号 : 42621

‎"HODGE, W. V. D.‎

‎Harmonic Integrals Associated with Algebraic Varieties [Received 9 February, 1934. - Read 15 February, 1934.] [In: Proceedings of the London Mathematical Society. Second Series. Volume 39]. - [""ONE OF THE LANDMARKS OF TWENTIETH CENTURY MATHEMATICS""]‎

‎London, Hodgson & Son, 1935. Royal 8vo. Volume 39 + 40 of ""Proceedings of the London Mathematical Society. Second Series"" bound together in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris (""Belford College. Univ. London"") to spine. Minor bumping to extremities. Binding tight, and in excellent, very nice, clean, and fresh condition, in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-papers and to title-page (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-papers. [Vol. 39:] pp. 249-271. [Entire volume: (Vol. 39:) (4), 546 pp. + (Vol. 40:) (4), 558 pp].‎

‎First publication of Hodge's seminal work on harmonic integrals.In the article Hodge showed that most of the elementary properties of harmonic functions could be extended to harmonic functional.""Hodge is famous for his theory of harmonic integrals (or forms), which was described by Weyl as ""one of the landmarks of twentieth century mathematics."" [...] Hodge's work straddles the area between algebraic geometry, differential geometry, and complex analysis. It can be seen as a natural outgrowth of the theory of Riemann surfaces and the work of Lefschetz on the topology of algebraic varieties. It put the algebraic geometry on a modern analytic footing and prepared the ground for the spectacular breakthroughs of the postwar period of the 1950s and 1960s."" (Gowers, The Princeton Companion to Mathematics, 2008).Hodge himself states in the introduction to the present work: ""In two papers I have defined integrals, which I have called harmonic integrals, which are associated with an analytic variety to which a metric is attached, and have established an existence theorem for them. More recently I have applied the theory of these integrals to the Riemannian manifold of an algebraic surface with the topological invariants of the Manifold. There is reason to believe that this method of considering the Abelian integrals attached to an algebraic variety will prove a powerful one, and I have thought it advisable to set out in the following pages an account of the principles on which the method is based."" In 1941 Hodge published the book ""The theory and applications of harmonic integrals"" which expanded and elaborated the ideas presented in the present article.‎

書籍販売業者の参照番号 : 42640

‎"FISHER, R.A. and WISHART, J.‎

‎The Derivation of the Pattern Formulae of Two-Way Partitions from those of Simpler Patterns. [Received 28 November, 1930. - Read 11 December, 1930]. [In: Proceedings of the London Mathematical Society. Second Series. Volume 33]. - [COINING ""CUMULANTS""]‎

‎London, Hodgson & Son, 1932. Royal 8vo. Entire volumes 33+34 of ""Proceedings of the London Mathematical Society. Second Series"" bound together in a very nice contemporary blue full cloth binding with gilt lettering and gilt ex-libris (""Belford College. Univ. London"") to spine. Very minor bumping to extremities. Binding tight and in excellent, very nice, clean, and fresh condition in- as well as ex-ternally. Small circle-stamp to pasted-down front free end-paper and to title-page of volume 33 (""Bedford College for Women""). Discreet library-markings to upper margin of pasted-down front free end-paper. Pp. 195-208. [Entire volumes: (´Vol. 33, 1932:) (4), 563, (1) pp."" (vol. 34, 1932:) (6), 562 pp.].‎

‎First printing of this important paper which coined the term ""cumulant"" within probability theory and statistics.Cumulants were first introduced by the Danish mathematician and statistician Thorvald N. Thiele in 1889. He, however, called them ""half-invariants"", a name that was not to be used for them in the future. It was not until the present work by the great statistical geneticist Ronald Fisher and the famous statistician John Wishart (eponym of the Wishart distribution) that these ""cumulants"" were given their name, the name that we still use today. According to the historian Stephen Stigler, the name ""cumulant"" was suggested to Fisher by Harold Hotelling. In another paper published in 1929, Fisher had called them cumulative moment functions.The present volume contains many other interesting and important mathematical papers, e.g. Carmichael's ""Expansions of Arithmetical Functions in Infinite Series"" (vol. 34), Mulholland's ""The Generalization of Certain Inequality Theorems Involving Powers."" (vol. 33), etc., etc.‎

書籍販売業者の参照番号 : 42680

‎"ERICKSON, V. B. + J. F. PELLEGRIN.‎

‎Build - A Software Construction Tool. [In: AT&T Bell LaboratoriesTechnical Journal, July-August 1984, Vol. 63 No. 6 Part 2]. - [THE UNIX-BASED BUILD TOOL]‎

‎[N.Y., AT&T Bell Laboratories, 1984]. 8vo. In the original yellow wrappers. A nice and clean copy. Pp. 1049-1059 (Entire volume: 1 leaf + pp. 1007-1212).‎

‎First description of the UNIX-based Build tool.""The Build tool is used as a sophisticated method of generation and modifying software system. Build is being used successfully by a number of UNIX software-based projects at AT&T Bell Laboratories. [...] The Build tool is being used by a number of large software development projects as the primary software generation tool. Build plays a central role in the development strategies and standards used in these projects"". (From the introduction to the present article).""Unix is unquestionably the most influential operating system ever developed"" is has influenced virtually every subsequent operating system, including MS-DOS, Mac OS, Sun' Solaris, and many more"". (Pfaffenberger, Bryan. Linux clearly explained, 1999, p. 3).‎

書籍販売業者の参照番号 : 42729

‎"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

‎"BOOLE, GEORG. - A PRIZE WINNING PAPER.‎

‎On a General Method in Analysis. Received January 12th,- Read January 18th.‎

‎(London, Richard and John E. Taylor, 1844). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1844 - Part II. Pp. 225-282. Clean and fine.‎

‎First appearance of Boole's main paper on the Calculus.George Boole is mostly known for his ""An Investigation on the Laws of Thought"" 1854 and his developments of a form of symbolic logic, called Boolean Algebra. But he also did importent work on the Calculus, Differential Equations and the Theory of probabilities.In 1843 the schoolmaster Boole finished a lengthy paper on differential equations, combining an exponential substitution and variation of parameters with the separation of symbols method. The paper was too long for the Cambridge Mathematical Journal. Gregory, and later De Morgan, encouraged him to submit it to the Royal Society. The first referee rejected Boole's paper, but the second recommended it for the Gold Medal for the best mathematical paper written in the years 1841 - 1844, and this recommendation was accepted. In 1844 the Royal Society published Boole's paper (the paper offered), and awarded him the Gold Medal, the first Gold Medal awarded by the Society to a mathematician.‎

書籍販売業者の参照番号 : 42840

‎"BRACONNIER, JEAN.‎

‎L'analyse harmonique dans les groupes abeliens. [Monographies de l""Enseignment mathematique, No 5].‎

‎Geneve, L'Enseignement Mathematique, (1956). 8vo. Original light blue wrappers. 48, (2) pp. Slight miscolouring to wrapper, otherwise a nice and clean copy.‎

書籍販売業者の参照番号 : 42865

‎"IBM.‎

‎Electric Punched Card Accounting Machines. Customer Engineering Manual of Instruction. Card Sorting Machine 82-80-75.‎

‎New York, International Business Machines Corporation, (1957). Royal8vo. Bound in the original printed grey wrappers. Minor wear to extremities, otherwise a very nice and clean copy. 84 pp. (herein 3 plates included) + large folded unattached diagram.‎

‎Original scarce printing of the engineering manual to the IBM 75, 80 and 82 Card Sorting Machine.In the 40ties and 50ties a major time consuming activity was sorting of information represented by punched cards. IBM was the leading manufacturer of the card sorting machine and the company was founded by Herman Hollerith on the basis of his 1901 Hollerith Automatic Horizontal Sorter.The two main requirements of the Card Sorting Machine were lowering of error risk and sorting speed. Both features were continuously improved which resulted in a number of different issue of the engineering manual.""The three machines necessary to perform the basic operations required in punched card accounting are the punch, the sorter, and the accounting machine. The punch establishes the records, the sorter arranges or classifies them, and the accounting machine produces the printed reports."" (From the introduction to the present manual).The 1957-manual gives a fascinating insight into how a fully development card sorting machine is developed and how it functioned.OOC 694. (the 1952-issue).‎

書籍販売業者の参照番号 : 42871

‎"BIOT, JEAN BAPTISTE - FOURCROY & VAUQUELIN‎

‎Recherches Sur l'intégration des équations différentielles, partielles, et sur les vibrations des surfaces. Lu le prairial an 8 (1800).‎

‎(Paris, Baudouin, AN XI (1803)). 4to. Without wrappers. Uncut. Extracted from ""Mémoires de L'Institut National des Sciences et Arts"", Tome Quatrieme. Pp. 21-112. Fine and clean, unopened.‎

‎First printing of one of Biot's earliest work, and one of his major mathematical paper.. Biot is well known for his discoveries in connection with polarized light.An importent chemical paper in organic chemistry accompanies Biot's paper: Fourcroy et Vauquelin,""Mémoire Sur l'analyse des calculs urinaires humains, et sur les divers matériaux qui les forment"". Pp. 112-150.‎

書籍販売業者の参照番号 : 42885

‎"JACOBI, C.G.J.‎

‎Über die unmittelbare verification einer Fundamentalformel der Theorie der elliptischen Functionen (+) Über die partielle Differentialgleichung, welcher die Zähler und Nenner der elliptischen Functionen.‎

‎Berlin, G. Reimer, 1848. 4to. In the original wrappers, no backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 36. Band, Erstes [1] Heft"". Entire issue offered. A fine and clean copy. Pp. 75-89. [Entire volume: IV, (2), 96, (2) pp.].‎

‎First printing of these two papers influential papers by Jacobi published in the epoch-making year 1848.""In the revolutionary year of 1848 Jacobi became involved in a political discussion in the Constitutional Club. During an impromptu speech he made some imprudent remarks which brought him under fire from monarchists and republicans alike. Hardly two years before, in the dedication of volume I of his Opuscula mathematica to Friedrich Wilhelm IV, he had expressed his royalist attitude"" now he had become an object of suspicion to the government. A petition of Jacobi’s to become officially associated with the University of Berlin, and thus to obtain a secure status, was denied by the ministry of education. Moreover, in June 1849 the bonus on his salary was retracted. Jacobi, who had lost his inherited fortune in a bankruptcy years before, had to give up his Berlin home. He moved into an inn and his wife and children took up residence in the small town of Gotha, where life was considerably less expensive."" (DSB).‎

書籍販売業者の参照番号 : 46355

‎"BOOLE, GEORGE. - BOOLE'S LAST WORK.‎

‎On the Differential Equations which determine the form of the Roots of Algebraic Equations. Received April 27, - Read May 26, 1864.‎

‎(London, Taylor and Francis, 1865). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1864. Vol. 154 - Part III. Pp. 733-755. Clean and fine.‎

‎First printing of Boole's last paper, - Boole, the founder of Computer science.George Boole is mostly known for his ""An Investigation on the Laws of Thought"" 1854 and his developments of a form of symbolic logic, called Boolean Algebra. But he also did importent work on the Calculus, Differential Equations and the Theory of probabilities.‎

書籍販売業者の参照番号 : 42985

‎"MEALY, GEORGE H.‎

‎A Method for Synthesizing Sequential Circuits. - [FIRST PUBLICATION OF THE MEALY MACHINE]‎

‎New York, American Telephone and Telegraph Company, 1955. 8vo. Original full green cloth. Volume XXXIV, 1955 of ""The Bell System Technical Journal"". Library stamp to front free end-paper and title page. Minor bumping to extremities. A nice and clean copy. Pp. 1045-1079. [Entire volume: 13, (3), 1330 pp.].‎

‎First publication of the highly influential Mealy machine: a finite-state machine whose output values are determined both by its current state and by the values of its inputs. Mealy machines are useful to describe how an output is associated with the transition. A full-adder changes state to reflect the carry-in and outputs the sum as the transition takes place. Vending machines can be set up as Mealy machines.Other papers of interest contained in the present volume: 1. Uhlir, A., The Potentials of Infinite Systems of Sources and Numerical Solutions of Problems in Semiconductors Engineering. Pp. 105-1282. Hohn, Franz E." Schissler, L. Robert. Boolean Matrices and the Design of Combinational Relay Switching Circuits. Pp. 177-202.3. Herring, Conyers. Transport Properties of a Many-Valley Semiconductor. Pp. 237-290. 4. Brewer, S.T. Hecht, G.. A Telephone Switching Network and Its Electronic Controls. Pp. 361-402. 5. Doba, Stephen Jr. Kolding, A. Robert. A New Local Video Transmission System. Pp. 677-712. 6. Fox, A.G. Wave Coupling by Warped Normal Modes. Pp. 823-852. 7. Louisell, W.H.. Analysis of the Single Tapered Mode Coupler. Pp. 853-870. 8. Lee, C.Y. Analysis of Switching Networks. Pp. 1287-1315.And many other.‎

書籍販売業者の参照番号 : 43021

‎"RICE, S. O.‎

‎Mathematical Analysis of Random Noise. - [THE RICE DISTRIBUTION]‎

‎New York, American Telephone and Telegraph Company, 1945. 8vo. Original full green cloth. Volume XXIV, 1945 of ""The Bell System Technical Journal"". Library stamp to free front end-paper and title-page. Minor bumping to extremities. A nice and clean copy. [Mentioned article:] Pp: 46-156. [Entire issue: V, (3), 467].‎

‎First publication of the Rice Distribution, or Rician distribution. Today the paper is widely recognized as a classic within the field of statistics and probability theory. The Rice distribution is an extension of the Rayleigh distribution that adds a coherent signal to the backscattered signal that underlies the Rayleigh distribution.The model is named after Stephen O. Rice who worked at Bell Labs for nearly forty years. His most famous and influential publication is the present article" in 1983 he was awarded the IEEE Alexander Graham Bell Medal.‎

書籍販売業者の参照番号 : 43073

‎ORE, OYSTEIN.‎

‎Theory of Graphs, American Mathematical Society Colloquium publications, Vol. XXXVIII.‎

‎Rhode Island, American Mathematical Society, (1967). 8vo. Original full blue cloth with gilt title to spine and front board. Two small library stamps to pasted down front free end-paper. XI, (1), 270 pp. A fine and clean copy.‎

‎Third printing.‎

書籍販売業者の参照番号 : 43106

‎"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

‎"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.‎

‎First appearance of an importent paper in mathematical physics, dealing with the foudations of electricity. Here Riemann uses semiconvergent (asymptotic) series, an approach which motivated the subsequent works of Weber and Henkel.‎

書籍販売業者の参照番号 : 43493

‎"MACWILLIAMS, JESSIE.‎

‎Permutation Decoding of Systematic Codes. - [FIRST PUBLICATION OF PERMUTATION DECODING]‎

‎New York, American Telephone and Telegraph Company, 1964. 8vo. Volume XLIII (63), January, Number 1, part 2, 1964 of ""The Bell System Technical Journal"". In the original blue printed wrappers. Previous owner's stamps to front wrapper. A part from minor light spotting to front wrapper, a very nice and clean copy. Pp. 485-505. [Entire issue: Pp. 339-563].‎

‎First publication of MacWilliam's important paper on permutation decoding.""MacWilliams (1917-1990) was a mathematician who contributed to the field of coding theory. She was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year. She spent most of her career at Bell Labs, where she worked on error-correcting codes and co-wrote 'The Theory of Error-Correcting Code with Neil Sloane'."" (Codings: Webster's Quotations, 42 p.)The issue contains the following papers.1. Darlington, Sidney. Demodulation of Wideband, Low-Power FM Signals. Pp. 339-374.2. Froehlich, F.E." Anderson, R.R. Data Transmission over a Self-Contained Error Detection and Retransmission Channel. Pp. 375-398.3. Sunde, E.D. Intermodulation Distortion in Analog FM Troposcatter Systems. Pp. 399-435.4. Harris, S.E. DeGrasse, R.W. Schulz-Dubois, E.O. Cutoff Frequencies of the Dielectrically Loaded Comb Structure as Used in Traveling-Wave Masers. Pp. 437-484.5. MacWilliams, Jessie. Permutation Decoding of Systematic Codes. Pp. 485-505.6. Gordon, Eugene I. Optical Maser Oscillators and Noise. Pp. 507-539.7. Wood, Elizabeth A. The 80 Diperiodic Groups in Three Dimensions. Pp. 541-559.‎

書籍販売業者の参照番号 : 43550

‎"CHURCH, ALONZO (+) EMIL L. POST.‎

‎[Church:] A note on the Entscheidungsproblem (+) Correction to A note on the Entscheidungsproblem (+) [Post:] Finite combinatory processes-formulation I. [In ""Journal of Symbolic Logic"", Volume 1, number 1 + 3, 1936] - [THE FOUNDATION FOR MODERN COMPUTER LOGIC]‎

‎Wisconsin, The Association for Symbolic Logic, 1936. Lev8vo. Entire volume one of ""Journal of Symbolic Logic"" (i.e. number 1-4), March, June, September, December 1936) BOUND WITH ALL THE ORIGINAL WRAPPERS in a blue half cloth with gilt lettering to spine. Crossed-out library paper-label to lower part of spine and top left corner of front board. Two library stamps (in Chinese) to back of front free end-paper. Chinese library-stamp (red) and stamped inventory-number lower part of all four front wrappers. Minor bumping to lower corner of nr. 4, otherwise internally a very fine and clean copy of the entire volume. [Church:] Pp. 40-1"" 101-2. [Post:] Pp. 103-5. [Entire volume: 218 pp.].‎

‎First publication of Church's seminal paper in which he proved the solution to David Hilbert's ""Entscheidungsproblem"" from 1928, namely that it is impossible to decide algorithmically whether statements within arithmetic are true or false. In showing that there is no general algorithm for determining whether or not a given statement is true or false, he not only solved Hilbert's ""Entscheidungsproblem"" but also laid the foundation for modern computer logic. This conclusion is now known as Church's Theorem or the Church-Turing Theorem (not to be mistaken with the Church-Turing Thesis). The present paper anticipates Turing's famous ""On Computable Numbers"" by a few months. ""Church's paper, submitted on April 15, 1936, was the first to contain a demonstration that David Hilbert's 'Entscheidungsproblem' - i.e., the question as to whether there exists in mathematics a definite method of guaranteeing the truth or falsity of any mathematical statement - was unsolvable. Church did so by devising the 'lambda-calculus', [...] Church had earlier shown the existence of an unsolvable problem of elementary number theory, but his 1936 paper was the first to put his findings into the exact form of an answer to Hilbert's 'Entscheidungsproblem'. Church's paper bears on the question of what is computable, a problem addressed more directly by Alan Turing in his paper 'On computable numbers' published a few months later. The notion of an 'effective' or 'mechanical' computation in logic and mathematics became known as the Church-Turing thesis."" (Hook & Norman: Origins of Cyberspace, 250) The volume also contains first printing of Post's seminal paper, in which he, simultaneously with but independently of Turing, describes a logic automaton, which very much resembles the Turing machine. The Universal Turing Machine, which is presented for the first time in Turing's seminal paper in the Proceedings of the London Mathematical Society for 1936, is considered one of the most important innovations in the theory of computation and constitutes the most famous theoretical paper in the history of computing. ""Post [in the present paper] suggests a computation scheme by which a ""worker"" can solve all problems in symbolic logic by performing only machinelike ""primitive acts"". Remarkably, the instructions given to the ""worker"" in Post's paper and to a Universal Turing Machine were identical."" (A Computer Perspective, p. 125).""The Polish-American mathematician Emil Post made notable contributions to the theory of recursive functions. In the 1930s, independently of Turing, Post came up with the concept of a logic automaton similar to a Turing machine, which he described in the present paper [the paper offered]. Post's paper was intended to fill a conceptual gap in Alonzo Churchs' paper on ""An unsolvable problem of elementary number theory"" (Americ. Journ. of Math. 58, 1936). Church's paper had answered in the negative Hilbert's question as to whether a definite method existed for proving the truth or falsity of any mathematical statement (the Entscheidungsproblem), but failed to provide the assertion that any such definite method could be expressed as a formula in Church's lambda-calculus. Post proposed that a definite method would be written in the form of instructions to a mindless worker operating on an infinite line of ""boxes"" (equivalent to Turing's machine's ""tape""). The worker would be capable only of reading the instructions and performing the following tasks... This range of tasks corresponds exactly to those performed by a Turing machine, and Church, who edited the ""Journal of Symbolic Logic"", felt it necessary to insert an editorial note referring to Turing's ""shortly forthcoming"" paper on computable numbers, and ascertaining that ""the present article... although bearing a later date, was written entirely independently of Turing's"" (p. 103)."" (Origins of Cyberspace, pp. 111-12).Even though Post's work to some degree has been outshined by Turing's, the present paper is of seminal importance in the history of the foundation for modern computer logic and the ideological basis for the modern computer.The volume also contains the following important papers by W. V. Quine:1. Toward a Calculus of Concepts. Pp. 2-25.2. Set-theoretic Foundations for Logic. Pp. 45-57.Hook & Norman, Origins of Cyberspace, 2002: 250 + 356 Charles & Ray Eames, A Computer Perspective, 1973: 125.‎

書籍販売業者の参照番号 : 43552

‎"(LEIBNITZ, GOTTFRIED WILHELM).‎

‎De linee super linea incessu, ejusque tribus speciebus motu radent motu provolutionis et composito ex ambobus (+) Excerptum ex epistola G.G.L. pro hypothesi physica motus planetarii olim (Febr.1689) hic Actis inserta, ad Amicum scripsit.‎

‎Leipzig, Grosse & Gleditsch, 1706. 4to. Contemp. full vellum. Faint hand-written title to spine. Two small stamps to title-page and one stamp to front free end-paper. Library label pasted on to pasted down front free end-paper. As usual with various browning to leaves and plates. The entire volume of ""Actorum Eruditorum Anno MDCCVI"" offered. [Leibniz's paper:] Pp. 10-15 + 1 engraved plate" 446-51 pp. [Entire volume: (2), 590 pp.].‎

‎First publication of two Leibniz papers. In the first paper, Leibniz's calculates the curve for a rolling without sliding body (Pura provolutio). The second paper is a correction to Leibniz's 1689-paper.Many other papers by influential contemporary mathematicians, philosophers and historians are to be found in the present volume.‎

書籍販売業者の参照番号 : 43900