‎Mathematics‎

‎"POINCARÉ, HENRI.‎

‎La Méthode de Neumann et le Probleme de Dirichlet.‎

‎(Berlin, Uppsala & Stockholm, Paris, 1895). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", Bd. 20, pp. 59-142.‎

‎"POINCARÉ, HENRI.‎

‎Mémoire sur les Fonctions fuchsiennes.‎

‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1882]. Large4to. As extracted from ""Acta Mathematica"", In ""Acta Mathematica"", volume 1. Clean and fine. Pp. 193-294.‎

‎"POINCARÉ, HENRI.‎

‎Sur la méthode horistique de Gyldén.‎

‎(Berlin, Uppsala & Stockholm, Paris, 1905. 4to. Bound in contemporary half cloth. In ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 29. Entires issue offered. Fine and clean. Pp. 235-272. [Entire volume: (4), 433 pp.].‎

‎"POINCARÉ, HENRI.‎

‎Sur la Polarisation par Diffraction. (Premier-Second partie). 2 vols. - [THE POINCARÉ SPHERE]‎

‎(Berlin, Uppsala & Stockholm, Paris, 1892 a. 1897. 4to. Without wrappers as extracted from ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 16 and 20. Fine and clean. Pp. 297-339 (+) pp. 313-355.‎

‎"POINCARÉ, HENRI.‎

‎Sur les Intégrales irrégulieres des Equations linéaires. - [THE FORMAL THEORY OF ASYMPTOTIC SERIES]‎

‎(Berlin, Uppsala & Stockholm, Paris, 1886). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 8, pp. 295-344.‎

‎"POINCARÉ, HENRI.‎

‎Sur une Forme nouvelle des Équations du Probleme des trois Corps. - [THE HAMILTON PRINCIPLE]‎

‎(Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1897). 4to. No wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 21, pp. 83-97.‎

‎"POINCARÉ, HENRI.‎

‎Theorie des Groupes fuchsiens. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and front free end-paper. In ""Acta Mathematica"", volume 1. Title pages with library stamp. A fine and clean copy. Pp. (6), 62.‎

‎"POINCARÉ, HENRI. - THE DISCOVERY OF AUTOMORPHIC FUNCTIONS‎

‎Theorie des Groupes fuchsiens (+) Mémoire sur les Fonctions fuchsiennes (+) Sur les Fonctions de deux Variables (+) Mémoire sur les groupes kleinéens (+) Sur les groupes des équations linéaires (+) Mémoire sur les fonctions zétafuchsiennes. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to (272 x 230 mm). Three volumes uniformly bound in contemporary half calf with gilt lettering to spine. In ""Acta Mathematica"", volume 1-5. Light wear to extremities, boards and spines with scratches. Stamp to verso of front board in all volumes. First three leaves in first volume detached, otherwise internally fine and clean. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312 " Vol. V pp. 209-278.‎

‎"POISSON, (SIMÉON-DENIS). - INTRODUCING ""THE LAW OF LARGE NUMBERS""‎

‎Recherches sur la probabilité des jugements, principalement en matière criminelle. (+) Note sur la loi des grands nombres. (2 Papers).‎

‎(Paris, Bachelier), 1835-36. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 1, Séance du Lundi 14 Décembre 1835 and tome 2, Séance Lundi 11 Avril 1836. Pp. (467-) 498 and (355-) 386. (2 entire issues offered. Poisson's papers: pp. 473-495 (1835) a. pp. 377-380 (1836).‎

‎"POISSON, SIMEON PIERRE.‎

‎Recherches sur le Mouvement des Projectiles dans L'Air, et ayant égard a leur Figure et leur Rotation, et a L'Influence du Mouvement diurne de la Terre.‎

‎Paris, Bachelier, 1839. 4to. Contemporary hcalf, gilt spine with gilt lettering. A paperlabel pasted on spine. Stamps on titlepage. VIII,226,(1) pp. Broadmargined on good paper. Light scattered brownspots.‎

‎"PONCELET, J. V. [JEAN-VICTOR].‎

‎Sur la valeur approchée linéaire et rationnelle des radicaux de la forme...‎

‎Berlin, G. Reimer, 1835. 4to. In ""Journal für die reine und angewandte Mathematik, 13 Band, 4. Heft, 1835"". Without backstrip. Fine and clean. [Poncelet:] Pp. 277-291. [Entire issue: pp. IV, 54 pp.].‎

‎"QUINE, WILLARD ORMAN VAN.‎

‎A System of Logistic. - [MAGNIFICENT PRESENTATION-COPY]‎

‎Cambridge, Massachusetts, Harvard University Press, 1934. Original full red cloth with gilt line-borders to boards, original dust-jacket, somewhat worn, with a red label over the price and chips and nicks to extremities. Minor loss to corners of dust-jacket, and a large loss of upper part of spine of dust-jacket (ca. 6 x 2 cm), thus lacking the title to spine of dust-jacket, and leaving the cloth of the same part of the spine sunned and the gilding of the title on spine almost faded off. Some soiling to dust-jacket. Internally nice and clean. X, (2), 204 pp.‎

‎An excellent presentation copy of this scarce first edition of the great logician's first book, which is the published version of his doctoral thesis, hailed by Whitehead as a landmark in the history of symbolic logic.Inscribed by Quine ""To F. Gomes Cassidy, historian of/ languages, from Van Quine, manu-/ facturer of one. Mathematical/ truth is linguistic convention,/ and logic is the [four Chinese characters]"".Frederic Gomez Cassidy (1907-2000) was a great capacity within wold language scholarship and a close friend of Quine, whom he had known since school and been to Oberlin College with. He was a talented linguist specialized in Early English, Creoles, Lexicography, and American language, who is now primarily famous for his lately begun monumental project, the ""Dictionary of American Regional English"" (known as DARE). Cassisy was born in Jamaica to a Canadian father and a Jamaican mother and grew up hearing their varieties of standard British English as well as the Cleole variety of the Black majority. When Cassidy was eleven years old, the whole family moved to Ohio. ""Here the young Jamaican was introduced to yet another variety of English and was dismayed to learn that it was he who sounded ""funny."" But that distinction was to have a significant benefit. It piqued the curiosity of a classmate who sought to know and befriend the boy who looked, acted, and sounded so different. That classmate was Willard Van Orman (""Van"") Quine, later to become one of America's most distinguished philosophers. The friendship he and Fred began as boys was to last their lifetimes, nourished by shared experiences at Oberlin College, regular correspondence through the decades, and frequent summer hiking trips."" (Memorial Resolution of the Faculty of the University of Wisconsin-Madison on the Death of Professor Emeritus Frederic Gomes Cassidy). The time at Oberlin College was of specific joy to him, and it was here he came to explore his interest in languages, philosophy, and science. He obtained his BA in 1930 and his MA, also at Oberlin, in 1932, and in 1938 he was given his PhD from the University of Michigan. Quine graduated from Oberlin College in 1930. He then won a scholarship to study for his doctorate at Harvard University, where he wrote the important thesis that was to constitute his first book. Quine's supervisor at Harvard was Alfred North Whitehead, who has also written the Foreword to his first book and who introduced him to Bertrand Russell, who visited Harvard during this time. From then on, Quine kept an ongoing correspondence with Russell. Quine finished his doctorate in two years and was awarded his Ph.D. in philosophy from Harvard in 1932. After that he received a travelling fellowship, which he used to travel to Vienna, where he got acquainted with the members of the Vienna Circle. During his travels he also met Gödel and Ayer. In Warsaw he spent six weeks with Tarski, and in Prague he studied under Carnap, who greatly inspired him. After his year of travelling, he returned to Harvard, where he published the present version of his doctoral dissertation, his first book.""In this book Dr. Quine has effected an extension of the scope of Symbolic Logic. The advance is more than an improvement in symbols. It extends to fundamental notions. He has introduced a generality adequate to the complexity of the subject matter"" and the symbolism embodies the generality of its meaning. I have no hesitation in stating by belief that Dr. Quine's book constitutes a landmark in the history of the subject."" So Whitehead writes in his Foreword (p. (IX) ). The logic that Quine takes into consideration is that of Russel and Whitehead's ""Principia Mathematica"", and when Whitehead towards the end of the Foreword states that ""Dr. Quine does not touch upon the relationship of Logic to Metahysics. He keeps strictly within the boundaries of his subject. But - if in conclusion I may venture beyond these limits - the reformation of Logic has an essential reference to Metaphysics. For Logic prescribes the shapes of metaphysical thought"" (p. X), the metaphysics he is talking about is nominalism. For Russell and Whitehead, Quine's work represented an unusual illustration of their own logic.The work was also under much influence of the Polish logicians, and as Whitehead concludes in his Foreword, ""it is interesting to note the influence of of the work of Professor H. M. Scheffer, and of the great school of Polish mathematicians. There is continuity in the progress of ordered knowledge."" (P. X).‎

Bookseller reference : 37638

‎"QUINE, WILLARD ORMAN VAN.‎

‎A System of Logistic. - [MAGNIFICENT PRESENTATION-COPY]‎

‎Cambridge, Massachusetts, Harvard University Press, 1934. Original full red cloth with gilt line-borders to boards, original dust-jacket, somewhat worn, with a red label over the price and chips and nicks to extremities. Minor loss to corners of dust-jacket, and a large loss of upper part of spine of dust-jacket (ca. 6 x 2 cm), thus lacking the title to spine of dust-jacket, and leaving the cloth of the same part of the spine sunned and the gilding of the title on spine almost faded off. Some soiling to dust-jacket. Internally nice and clean. X, (2), 204 pp.‎

‎"RAILLIER DES OURMES. - THE MATHEMATICS OF THE MAGIC CUBE.‎

‎Mëmoire sur les Quarrés Magiques.‎

‎(Paris, L'Imprimerie Royale, 1763). 4to. No wrappers.Extract from ""Mémoires de Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome IV. Pp. 196-246 a. many textfigs. A very faint dampstain to outer margin.‎

Bookseller reference : 45504

‎"RABIN, M. O.‎

‎Decidability of Second-Order Theories and Automata on Infinite Trees. - [THE INFINITE TREE AUTOMATON]‎

‎Providence, Rhode Island, The American Mathematical Society, 1969. Royal8vo. In the original blue printed wrappers. In ""Transactions of the American Mathematical Society"", Volume 141, July, 1969. Entire issue offered. Spine faded and a few bumps to extremities, otherwise fine and clean. Pp. 1-35. [Entire volume: (4), 527 pp.].‎

‎"RAILLIER DES OURMES. - THE MATHEMATICS OF THE MAGIC CUBE.‎

‎Mëmoire sur les Quarrés Magiques.‎

‎(Paris, L'Imprimerie Royale, 1763). 4to. No wrappers.Extract from ""Mémoires de Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome IV. Pp. 196-246 a. many textfigs. A very faint dampstain to outer margin.‎

‎"REICHENBACH, HANS.‎

‎Philosophie der Raum-Zeit-Lehre.‎

‎Berlin, Walter de Gruyter, 1928. 8vo. In the original full blue cloth with gilt lettering to spine and front board. Spine a bit faded. Light wear to spine ends. Stamps to foot of title-page. VI, 380, (2) pp. With the name of Victor Kuhr, Danish professor of philosophy, on front free endpaper.‎

‎First edition of the ""first comprehensive and systematic representation of geometry in physics."" ""This work was an important landmark in the development of the empiricist conception of geometry"". (Carnap, Introduction to the present work in the first English translation).‎

Bookseller reference : 49740

‎"REDERN, LE COMTE (SIGISMUND EHRENREICH). - NEWTONIAN OPTICS.‎

‎Considérations sur L'Influence que L'illustre Newton attribue a la diverse Réfrangibilité de la Lumiere sur les Lunettes à Réfraction.‎

‎(Berlin, Haude et Spener, 1767). 4to. No wrappers, as issued in ""Memoires de l'Academie des Sciences et Belles-Lettres"". Tome XVI, pp. 1-44 and 2 folded engraved plates.‎

‎"REICHENBACH, HANS.‎

‎Philosophie der Raum-Zeit-Lehre.‎

‎Berlin, Walter de Gruyter, 1928. 8vo. In the original full blue cloth with gilt lettering to spine and front board. Spine a bit faded. Light wear to spine ends and wear along edges. Stamps to foot of title-page. VI, 380, (2) pp.‎

‎"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.].‎

‎First printing of this posthumously published paper by Riemann.‎

Bookseller reference : 47249

‎"RICHELOT, F.‎

‎De integralibus quibusdam definitis, quorum summa ad quadraturam divisionemque circuli revocatur.‎

‎Berlin, G. Reimer, 1840. 4to. In ""Journal für die reine und angewandte Mathematik, 21. band, 4. heft."". Entire issue offered in the original printed wrappers, without backstrip. Fine and clean. Pp. 293-327 [Entire volume: Pp. 293-380, (2) + 1 folded plate.].‎

‎First printing.Richelot was a student of Jacobi. Richelot authored numerous publications among them - with his 1832 dissertation - the first known guide to the Euclidean construction of the regular 257-gon with compass and straightedge.‎

Bookseller reference : 46408

‎"RICHELOT, A.‎

‎De resolutione algebraica aequationis x257 = 1, sive de divisione circuli per bisectionem anguli septies repetitam in partes 257 inter se aequales commentatio coronat. - [CONSTRUCTION OF A 257-GON]‎

‎Berlin, Georg Reimer, 1832. 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 9, 1832, Fine and clean. 26 pp.‎

‎First printing of Richelot's important paper in which he for the fist time presented the construction of a regular 257-gon.‎

Bookseller reference : 49767

‎"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.‎

Bookseller reference : 43073

‎"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.‎

‎First printing of this paper issued just before Riemann's death. The paper is a follow-up of his paper ""Theorie der Abelschen Functionen"" issued in the same journal in 1854. - ""The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics.""‎

Bookseller reference : 40413

‎"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.].‎