‎Mathématiques‎

‎"LEIBNITZ (LEIBNIZ), GOTTFRIED WILHELM.‎

‎Lettres de M. de Leibnitz á M. Herman. Part I-II. (I.No. I-III - II. No. 1-26).‎

‎(Berlin, Haude et Spener, 1759). 4to. No wrappers as issued in ""Memoires de l'Academie Royale des Sciences et Belles Lettres"". tome XIII, 1757. Titlepage (Classe de Philosophie Spéculative) and pp. (451-)522.‎

‎"LEIBNITZ, GOTTFRIED WILHELM., JOHANN BERNOULLI, JACOB BERNOULLI & ISAAC NEWTON - SOLVING THE BRACHISTOCHRONE PROBLEM.‎

‎Communicatio suae pariter, duarumque alienarum ad edendum sibi a Dn. Jo. Bernoulli, deinde a Dn Marchione Hospitalio communicatarum solutionum problematici curvae..descensus a Dn. Jo. Bernpulli....propositi solutione... (Leibniz). + Curvatura Radii in...‎

‎Leipzig, Grosse & Gleditsch, 1697. 4to. No wrappers. In: ""Acta Eruditorum Anno MDCXCVII"", No V, May-issue. Pp. 193-240 (entire issue offered). With titlepage to the volume 1697. Leibniz: pp. 201-205. Johann Bernoulli: pp. 206-211. Jacob Bernoulli: pp. 211-214. Newton: pp. 223-224. As usual, some leaves with browning.‎

‎"LEIBNIZ (LEIBNITZ), G.F. - JOHANN BERNOULLI - JAKOB BERNOUILLI. - CHRISTIAAN HUYGENS ET AL. - INTRODUCING THE LEMNISCATE CURVE.‎

‎1. Nova Calculi Differentialis. Applicatio & usus, ad multiplicem linearum constructionem, ex data tangentium conditione. 2. Constructio Propria Problematiis de Curva Isochrona Paracentrica....& de constructione linearum transcendentium, una maxima ge...‎

‎Leipzig, Grosse & Gleditsch, 1694. 4to. Contemp. full vellum. Faint handwritten title on spine. a small stamp on titlepage. In: ""Acta Eruditorum Anno MDCXCIV"". (2),518 pp.. and 11 folded engraved plates. As usual with various browning to leaves and plates. The entire volume offered. Leibniz's papers: pp. 311-316, pp. 364-375. - Johann Bernoulli's papers: pp. 200-206, pp. 394-99, pp. 435-437, pp. 437-441. - Huygen's papers: pp. 338, pp. 339-41. - Jakob Bernoulli's papers: pp. 262-276, pp. 276-280, pp. 336-338, pp. 391-400. Some mispaginations.‎

‎"LEMOINE, ÈMILE.‎

‎De la mesure de la simplicité dans les constructions géométriques.‎

‎(Paris, Gauthier-Villars), 1888. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 107, No 3. Pp. (157-) 199. (Entire issue offered). Lemoine's paper: pp. 169-171.‎

‎First appearance of the paper in which Lemoigne ""assigns a measure of simplicity to geometrical constructions, based on the number of times each of the five elementary operations (such as placing one end of a compass on a given point) is employed."" (Parkinson ""Breakthroughs"" 1888 M‎

书商的参考编号 : 48184

‎"LERAY, JEAN. - A TURNING POINT IN TOPOLOGY.‎

‎L'anneau d'homologie d'une représentation. (+) Structure de l'anneau d'homologie d'une représentation. (2 papers).‎

‎(Paris, Gauthier-Villars), 1946). 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 222, No 24 a. 25. Pp. (1361-) 1416 a. pp. (1417-) 1464. (2 entire issues offered). Leray's papers: pp. 1366-1368 a. pp. 1419-1422.‎

‎First printing of these two landmark papers in topology. Dieudonné later wrote ""undoubtly rank (the papers) at the same level in the history of mathematics as the methods invented by Poincaré and Brouwer"".""These two Comptes Rendus notes of Leray from 1946 introduced the novel concepts of sheafs, sheaf cohomology, and spectral sequences, which he had developed during his years of captivity as a prisoner of war. Leray's announcements and applications (published in other Comptes Rendus notes from 1946) drew immediate attention from other mathematicians. Subsequent clarification, development, and generalization by Henri Cartan, Jean-Louis Koszul, Armand Borel, Jean-Pierre Serre, and Leray himself allowed these concepts to be understood and applied to many other areas of mathematics....."" (List of importent publications in mathematics).‎

书商的参考编号 : 49676

‎"LEUPOLD, JACOB. & ERNST SCHEFFLER.‎

‎Theatrum arithmetico geometricum, das ist: Schau-Platz der Rechen- und Mess-Kunst, ... [With:] Theatri machinarum supplementum das ist: Zusatz zum Schau-Platz der Machinen und Instrumenten, ... - [THE ART OF CALCULATION AND MEASUREMENT]‎

‎Leipzig: Christoph Zunkel and Bernhard Christoph Breitkopf, 1727-1739. Folio. (372x239mm). Two parts in one volume. Contemporary vellum, two cuts in spine, modern slip case. Provenance: Book plates of Arnaud de Vitry and Andras Gedeon. Stamps to half-title and title-page, from Stadtbibliothek Augsburg - sold as duplicate. First part: (14], 200, (4) pp. and 45 plates, numbered I-XLIII (plate III with volvelle). Second part: (12), 100, (94) pp. and 40 plates on 36 sheets, numbered I-XL. All plates intact. An exceptionally fine copy.‎

‎The scarce first edition of the of the eighth and tenth volumes (each volume being a complete work in itself) of Leupold's magnificent ten-volume ""Theatrum Machinarum"" - one of the first encyclopedias of technology, being the most complete and the most extensively illustrated work on mechanical engineering published hitherto. Complete sets of Leupold's Theatrum are virtually never found and Ferguson stated in his bibliography of technology that he had never seen a complete set. Each volume is complete in itself. The eighth volume is of particular interest in the history of computers, as it deals mainly with calculating machines. This volume contains detailed descriptions of the calculating machines of Schott (1668), Grillet (1673), Leibniz (1674), Poleni (1709), and Leupold himself. The tenth volume is a supplement to the series published after Leupold's death by Ernst Scheffler. It deals with odometers, gyrometers, step counters and other devices for the measurement of distances. This volume is furthermore of importance, because it contains the 90 page general index to the entire series. Hook & Norman: Origins of Cyberspace, no. 6 (volume 8 only).Honeyman Sale, lot 1997 (volume 7 and 8).Macclesfield Sale, lot 1242 (volume 8 only).Ferguson: Bibliography of the History of Technology, pp.45-46.Wolf: A History of Science, Technology, & Philosophy in the 18th Century, pp.657-8.‎

书商的参考编号 : 35955

‎"LEVI-CIVITA, T. [TULLIO].‎

‎Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili.‎

‎Leipzig, B.G. Teubner, 1904. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 59. Band. 3. Heft.""Entire issue offered. Internally very fine and clean. [Levi-Civita:] Pp. 383-387. [Entire issue: Pp. 321-448].‎

‎First printing of Levi-Civita's paper on the integration of the Hamilton-Jacobi equation.""Levi-Civita’s approximately 200 memoirs in pure and applied mathematics deal with analytical mechanics, celestial mechanics, hydrodynamics, elasticity, electromagnetism, and atomic physics."" (DSB).‎

书商的参考编号 : 44726

‎"LIE, SOPHUS.‎

‎Classification und Integration von gewöhnlichen Differentialgleichungen zwischen x y, die eine Gruppe von Transformationen gestatten.‎

‎Leipzig, B. G. Teubner, 1888. 8vo. In ""Mathematische Annalen, 32. Band, 2 Heft, 1888"". In the original printed wrappers, without backstrips. Wrappers with a few nicks to front wrapper and title page. [Lie:] Pp. 213-281. [Entire issue: pp. 161-308].‎

‎"LIE, SOPHUS.‎

‎Untersuchungen über geodätische Curven.‎

‎Leipzig, B.G. Teubner, 1882. In orig. printed wrappers to ""Mathematische Annalen"", XX. Bd., 3 Heft, pp. 301-490 (the whole issue). Lie's paper: pp. 357-460.‎

‎"LINDENFELS, I.B.‎

‎Den hemmelige Skrivekonst eller: Chiffrer= og Dechiffrer=Konsten, isærdeleshed practiskt oplyst ved et nyt Transpositionschiffre, der formedelst dets utallige Afvexlinger, i Forening med den største Simpelhed og Lethed, kan gjøres aldeles uopløseligt,... - [THE VIGENÈRE CIPHER CORRECTLY DESCRIBED FOR THE FIRST TIME]‎

‎Kjøvenhavn [Copenhagen], Brummers Forlag, 1819. 8vo. In the fragile and rare original engraved paper-binding with wear and bumping to capitals and corners, but overall fine. Spine a bit soiled and some minor ink-spotting to front board. Internally some occasional brownspotting, but overall nice and clean. Half-title, engraved title-page, (being pp. 1-4), XL pp. + pp. (5) - 294 + 1 leaf errata + 9 engraved plates (numbered I-IX, though the title-page states ""eight engraved plates"") + 5 folded tables (in all there are 7 tables that are numbered, namely A(a-c)-E, of which Ab+c,C,D,E are folded, Aa-B are in the text and are 3/4 and almost full-page respectively. Table D has a tear, no loss).Printed on good, heavy paper. Orig. koberstukket kartonnage, hvor ryggen dog er slidt. Hjørner stødte. Kobberstukket titelblad, XL,294, pp. + 1 blad errata + talrige foldetabeller og 9 kobberstukne foldeplancher. Trykt på skrivepapir, men her og der noget brunplettet.‎

‎The rare first printing of this highly important work of cryptography, which is the very first work to correctly describe Vigenère's cipher. ""Lindenfels, so far as I can ascertain, is the only writer who accurately presents both the tables and the directions of Vigenère."" (Charles J. Mendelsohn, 1940). The present work also constitutes the first Danish cryptographical work.""All European countries have a larger or smaller collection of crytographical works in their languages, whereas we in Denmark, as far as the author is aware, do not own a single letter thereof in the mother tongue. The author has therefore endeavoured, also in a scientific sense, not to be entirely unworthy in filling out this lacuna in the national literature. Both of these purposes unite in the ""pium desiderum"": to enable our young officials - in particular the military - to match also in this respect those of our neighbouring nations. It is necessary in times such as ours, not to lag behind foreigners, especially in these things, if we do not wish at all hours to succumb to them."" (from the ""Prereminder"" - translated from Danish in Franksen). ""In 1918, Charles J. Mendelsohn was made a captain in the Military Intelligence Division of the General Staff of the U.S. Army, in charge of decipherment of German codes. A classic scholar and faculty member of the history department in the College of the City of New York, he was launched by his experience into a lifelong study of historical ciphers and their originators. Among other things, this research resulted in two fundamental papers on Cardano and de Vigenère, respectively... With this background in mind we are hard put to find a more authoritative source on the history of the Vigenère cipher than the article by Mendelsohn. It is therefore noteworthy to read in Mendelsohn's abstract, that ""In all the literature of cipher, I know of only one writer who has correctly described Vigenère's cipher, and that was well over one hundred years ago."" In the body of the article Mendelsohn, referring to ""I.B. Lindenfels, Den hemmelige Skrivekonst (Copenhagen, 1819)"", expands on this remark... (see first quotation above). On this authority I have often relied on Lindenfels' work for factual information in past discussions. Yet, I have withheld his story which, lying dormant in the Danish Army Archives and some contemporary bibliographical accounts, is perhaps as fascinating as the topic he describes... Its title page was engraved, so Lindenfels proudly tells us, together with nine other illustrations by a young artist, H.C. Klingsey, employed as a map-maker by the Danish navy. It reveals that Lindenfels was a major of the artillery and a teacher of the Royal Pageans (cadets training for general staff and military engineering), at the Land Cadet Academy (infantry and horse), and at the Artillery Cadet Institute... In the ""prereminder"", Lindenfels assures the reader that he has done everything in his power to make the book as entertaining as possible. Simultaneously, however, he emphasizes that his choice of motto ""Ei blot til lyst"" (not only for pleasure) on the title-page, is made on purpose (see quotation from the Prereminder above)..."" (Franksen, pp. 215-17).Lindenfels does not invent or introduce an entirely new cipher, he does, however, in the present work, introduce a new practice that is to replace the simple substitution cipher or traditional nomenclature, and in fact he becomes the first to describe the seminal Vigenère cipher correctly. The work is divided into three parts, namely Simple substitution ciphers and nomenclatures" the Vigenère cipher" and a Supplement, all of about the same length. The supplement not only describes the history of ciphers and codes but also covers sign languages, both of thieves and deaf and mutes. Being the first such work in the Danish language, of course it arose some curiosity and excitement. It is evident from the subscription list that Kind Fredrik VI himself purchased 10 copies alone. For curiosity it can be mentioned that Lindenfels here mentions ""the newest galvanic and electric discoveries"" and ""the incredible bordering progress in physics and chemistry"", referring to Ørsted and inferring how Ørsted gradually worked towards his discovery of electromagnetism in 1820, about a year after Lindenfels had published his work. For a long and thorough description of the work and of Lindenfels, see:Franksen, Mr. Babbage's Secret. The Tale of a Cypher - and APL. (IBM).‎

书商的参考编号 : 42688

‎"LIOUVILLE, JOSEPH.‎

‎Mémoire sur une formule d'analyse.‎

‎[Berlin, G. Reimer, 1834.] 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 12. Band, 1834"". Fine and clean. Pp. 273-87. [Entire offering: Pp. 273-364].‎

‎First printing of Liouville's important comment to his earlier memiore ""Sur quelques questions de Géometrie et de Mécanique"". ""Liouville is most famous for having founded and directed for almost forty years one of the major mathematical journals of the nineteenth century, the Journal de Liouville. He also made important contributions in pure and applied mathematics and exerted a fruitful influence on French mathematics through his teaching."" (DSB).‎

书商的参考编号 : 47374

‎"LIOUVILLE, JOSEPH. - THE EXISTANCE OF TRANSCENDENTAL NUMBERS PROVED.‎

‎Remarques... à des classes très-étendues de quantités dont la valeur n'est ni rationelle ni méme réductible à des irratonnelles algébriques... à un passage du livre des principes ou Newton... (Séance du Lundi 13 mai 1844). (+) Nouvelle démonstratio...‎

‎(Paris, Bachelier), 1844 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 18, No 20 a. 21. Pp. (883-) 898 a. pp. (899-) 960. (Entire issues offered). Liouville's papers: pp. 883-885 a. 910-911.‎

‎First printing of the papers in which Liouville proved the existence of transcendental numbers. ""J. Liouville..... invented a method (1844) for constructing any one of an extensive class of transcendental numbers. His numbers were the first to be proved transcendental" Hermite's proof of the transcendence of e ... followed in 1873" F. Lindemnn's for pi in 1882.""(Bell ""Development of Mathematics"", p. 275).Liouville showed that not only are these numbers irrational, they are always transcendental. Thus he was the first to prove the existence of transcendental numbers and also that there were an infinite number of them. Liouville suggested that e was transcendental, and provided the first example of a provably transcendental number, now known as Liouville’s constant.Parkinson ""Breakthroughs"", 1844 M.‎

书商的参考编号 : 49077

‎"LIPSCHITZ, R.‎

‎Beiträge zur Theorie der Variation der einfachen Integrale.‎

‎Berlin, G. Reimer, 1865. 4to. In the original printed wrappers, without backstrip. In ""Journal für die reine und angewandte Mathematik, 65 Band, 1. Heft, 1865"". Minor browning, otherwise fine. Pp. 24-41. [Entire volume: IV, 96, (2) pp..].‎

‎First printing of Lipschitz's paper on integrals. ""At the age of fifteen he began the study of mathematics at the University of Königsberg, where Franz Neumann was teaching. He then went to Dirichlet in Berlin, and he always considered himself Dirichlet’s student. After interrupting his studies for a year because of illness, he received his doctorate from the University of Berlin on 9 August 1853. After a period of taining and teaching at the Gymnasiums in Königsberg and Elbing, Lipschitz became a Privatdozent in mathematics at the University of Berlin in 1857. In the same year he married Ida Pascha, the daughter of a neighboring landowner. In 1862 he became an associate professor at Breslau, and in 1864 a full professor at Bonn, where he was examiner for the dissertation of nineteen-year-old Felix Klein in 1868. He rejected an offer to succeed Clebsch at Göttingen in 1873. Lipschitz was a corresponding member of the academies of Paris, Berlin, Göttingen, and Rome.Lipschitz distinguished himself through the unusual breadth of his research. He carried out many important and fruitful investigations in number theory, in the theory of Bessel functions and of Fourier series, in ordinary and partial differential equations, and in analytical mechanics and potential theory."" (DSB)‎

书商的参考编号 : 46521

‎"LIPSCHITZ, R.H:2086‎

‎Beiträge zur Theorie der Vertheilung der statischen und der dynamischen Electricität in leitenden Körpern.‎

‎[Berlin, G. Reimer, 1861]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 58. Bd. Fine and clean. Pp. 1-53.‎

‎First appearance of Lipschitz's paper on the theory of the distribution of the static and dynamic electricity in conducting bodies.""Lipschitz distinguished himself through the unusual breadth of his research. He carried out many important and fruitful investigations in number theory, in the theory of Bessel functions and of Fourier series, in ordinary and partial differential equations, and in analytical mechanics and potential theory. Of special note are his extensive investigations concerning n-dimensional differential forms and the related questions of the calculus of variations, geometry, and mechanics. This work-in which he drew upon the developments that Riemann had presented in his famous lecture on the basic hypotheses underlying geometry-contributed to the creation of a new branch of mathematics."" (DSB)‎

书商的参考编号 : 49611

‎"LOBACHEVSKY (LOBACHEVSKII, LOBACEVSKIJ, LOBATSCHEWSKIJ), (NIKOLAI IVANOVITSCH).‎

‎Pangeometriya (i.e. Pangeometry). (In: ""Uchenye zapiski""). - [""THE MOST CONSEQUENTIAL AND REVOLUTIONARY STEP IN MATHEMATICS SINCE GREEK TIMES""]‎

‎Kazan, 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.‎

‎Exceedingly rare first appearance of Lobachevsky’s landmark 'Pangeometry', a seminal work that serves as a synthesis of his exploration into non-Euclidean geometry and its practical applications and is widely considered his clearest account of the subject. It is also the conclusion of his life's work and the last and final attempt he made to acquire recognition. Lobachevsky's contributions not only marked a turning point in mathematical thought, but were also a catalyst for profound shifts in physics, and philosophy as they expanded the boundaries of human understanding, challenging 2000 year old conventional wisdom"" consequently, he is often referred to as ""The Copernicus of Geometry"". Lobachevsky wrote his Pangeometry in 1855, the year before his death, at a time when he was completely blind. He dictated two versions, a first one in Russian (the present), and a second in French. Despite his revolutionary work, Lobachevsky’s received little, if any, attention from the scientific community. One reason for this was that his works were published in very small numbers in relatively obscure journals – they seem to have had minimal circulation even within Russia. The present treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. “Lobachevskii’s geometry represents the culmination of two thousand years of criticism of Euclid’s fifth, or parallel, postulate, which states that given a line and a point not on the line, there can be drawn through the point one and only one coplanar line not intersecting the given line. As this postulate had stubbornly resisted all attempts (including Lobachevskii’s) to prove it as a theorem, Lobachevskii came to the realization that it was possible to construct a logically consistent geometry in which the Euclidean postulate represented a special case of a more general system that allowed for the possibility of hyperbolically curved space. Lobachevskii’s system refuted the unique applicability of Euclidean geometry to the real world, and pointed the way to the Einsteinian concept of variably curved space” (Norman 1379.). “At the same time as Lobachevsky, other geometers were making similar discoveries. Gauss had arrived at an idea of non-Euclidean geometry in the last years of the eighteenth century and had for several decades continued to study the problems that such an idea presented. He never published his results, however, and these became known only after his death and the publication of his correspondence. Janos Bolyai, the son of Gauss’s university comrade Farkas Bolyai, hit upon Lobachevskian geometry at a slightly later date than Lobachevsky. Since Gauss did not publish his work on the subject, and since Bolyai published only at a later date, Lobachevsky clearly holds priority.” DSB. Lobachevsky's non-Euclidean geometry paved the way for further advancements in mathematics, including the development of differential geometry and the study of Riemannian manifolds. These areas of mathematics have found applications in fields as diverse as physics, engineering, and computer science. Furthermore, his work laid the groundwork for Albert Einstein's theory of general relativity, which relies on the concept of curved spacetime. It showed that there is no single ""correct"" geometry, but rather multiple valid systems. This led to a broader understanding of the nature of axiomatic systems and their relation to reality - implications that extend well beyond the realm of mathematics, shaping our understanding of space, reality, and the limits of human knowledge.‎

书商的参考编号 : 60473

‎"LOBACHEVSKY, N.‎

‎Ob izchezanij trigonometrisheskikh strok. [Russian - i.e. On the Convergence of Trigonometrical Series] [In: ""Uchenye zapiski"" (""Scientific Memoirs"") of Kazan University]. - [THE GENERAL DEFINITION OF A FUNCTION]‎

‎Kazan, 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.‎

‎"LOBATSCHEVSKY (LOBACHEVSKY, LOBACHEVSKII, LOBACEVSKIJ, LOBATSCHEWSKIJ), (NIKOLAI IVANOVITSCH).‎

‎Probabilité des résultats moyens tirés d'observations répétées. - [THE FIRST PRINTING OF ANY PART OF HIS ""GEOMETRIYA""]‎

‎Berlin, G. reimer, 1842. 4to. No wrappers. In: Crelle's ""Journal für die reine und angewandte Mathematik."", 24. Band, zweites Heft., Titlepage to Zweites Heft and pp. 93-188 and 3 plates. Lobatschewsky's paper pp. 164-170.‎

‎"LOBATSCHEVSKY (LOBACHEVSKY, LOBACHEVSKII, LOBACEVSKIJ, LOBATSCHEWSKIJ), (NIKOLAI IVANOVITSCH).‎

‎Ueber die Convergenz der uendlichen Reihen (i.e. English: ""On the Convergence of Infinite Series"").‎

‎(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.‎

‎"LORENTZ, HENDRIK ANTOON.‎

‎The Theory of Electrons and its Applications to the Phenomena of Light and Radiant Heat. A Course of Lectures delivered in Columbia University, New York, in March and April 1906.‎

‎Leipzig, B.G. Teubner, 1909. 8vo. Recent attractive full cloth with gilt title to spine. A fine and unmarked copy. (4),332,(2) pp.‎

‎"LORENTZ, HENDRIK ANTOON.‎

‎Weiterbildung der MaxwellschenTheorie. Elektronentheorie.‎

‎(Leipzig, Teubner, 1904). No wrappers as issued in ""Encyclopädie der mathematischen Wissenschaften"", V,2, pp. 145-280.‎

‎"LUSIN, N. [LUZIN].‎

‎Sur le probléme de M. J. Hadamard d'uniformisation des ensembles.‎

‎[Paris, Gauthier-Villars, 1930.] 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 190, No 6, Entire issue offered. No backstrip, stamp to first leaf. Pp. 349-51. [Entire issue: Pp. 337-408].‎

‎"LÜROTH, JACOB.‎

‎Beweis eines Satzes tiber rationale Kurven. - [LÜROTH'S THEOREM]‎

‎Leipzig, B. G. Teubner, 1876. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 9., 1876. 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.163-165 [Entire volume: IV, 575 pp.].‎

‎"MACWILLIAMS, JESSIE.‎

‎A Theorem on the Distribution of Weights in a Systematic Code. - [MACWILLIAMS IDENTITIES]‎

‎New York, American Telephone and Telegraph Company, 1963. 8vo. Volume XLII, January, Number 1, 1963 of ""The Bell System Technical Journal"". In the original printed blue wrapper. Previous owner's stamp to front wrapper. Spine slightly discoulered and lower right corner slightly bumped. A nice and clean copy. Pp. 79-94. [Entire issue: 206 pp].‎

‎"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.‎

书商的参考编号 : 43550

‎"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].‎