‎Matemáticas‎

‎"PINCHERLE, SALVATORE.‎

‎Sur la géneration de systèmes récurrents au moyen d'une équation linéaire différentielle.‎

‎[Berlin, Stockholm, Paris, Beijer, 1892-93]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16. First leaf detached, otherwise fine and clean. pp. 341-363.‎

‎First printing of Italian mathematician Pincherle's paper on linear differential equations.Salvatore Pincherle (1853 -1936) was an Italian mathematician. He contributed significantly to (and arguably helped to found) the field of functional analysis, established the Italian Mathematical Union (Italian: ""Unione Matematica Italiana""), and was president of the Third International Congress of Mathematicians. The Pincherle derivative is named after him.‎

Referencia librero : 49648

‎"VOLTERRA, VITO.‎

‎Sur les vibrations lumineuses dans les milieux biréfringents.‎

‎[Berlin, Stockholm, Paris, Beijer, 1892]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16, pp. 153-215.‎

‎First printing of Volterra's paper on the vibrations of light in a birefringence media.‎

Referencia librero : 49650

‎"LEBESGUE, H. (HENRI LÉON) - REVOLUTIONIZING THE CALCULUS.‎

‎Sur une généralisation de l'intégrale dérfinie. Note de H. Lebesgue, présentée par M. Picard. (Séance du Lundi 29 Avril 1901).‎

‎(Paris, Gauthier-Villars), 1901). 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 132, No 17. pp. (1013-) 1080. (Entire issue offered). Lebesgue's paper: pp. 1025-1028. Clean and fine.‎

‎First printing of Lebesgue's seminal paper on the calculus, which generalized the Riemann integral.""Building on the work of others, including that of Emile Borel and Camille Jordan, Lebesgue formulated the theory of measure in 1901 and in his famous paper Sur une generalisation de l'integrale definie, which appeared in the Comptes Rendus on 29 April 1901 (the paper offered), he gave the definition of the Lebesgue integral that generalises the notion of the Riemann integral by extending the concept of the area below a curve to include many discontinuous functions. This generalisation of the Riemann integral revolutionised the integral calculus. Up to the end of the 19th century, mathematical analysis was limited to continuous functions, based largely on the Riemann method of integration. There is a problem here, namely that a function which is not Riemann integrable may be represented as a uniformly bounded series of Riemann integrable functions. What made the new definition important was that Lebesgue was able to recognise in it an analytic tool capable of dealing with - and to a large extent overcoming - the numerous theoretical difficulties that had arisen in connection with Riemann's theory of integration.""‎

Referencia librero : 49675

‎(WOLFF, CHRISTIAN).‎

‎Vollständiges Mathematisches Lexicon, Darinnen alle Kunst=Wörter und Sachen, welche in der erwegenden und ausübenden Mathesi vor zu kommen pflegen...Überall aber zur Historie der Mathematischen Wissenschaften dienliche Nachrichten eingestreuet...(1.-)...‎

‎Leipzig, Gleditschen, 1734-42. 8vo. 2 cont. hcalf. Gilt backs. Backs rubbed, especially volume 2, which have been exposed to some damp, loosening the plates and some quires, but not dampstained. 2 engraved frontispieces. (6),(69o),(4)(6),543,140,(10) pp. and 46 engraved plates (36+10). Some light browning to inner margins in volume 2. Stamps on title-pages.‎

‎Largest edition of Wolff's well-known encyclopedia in which are treated all aspects of the mathematical sciences, pure as well as technical, the calculus, stereometrie, astronomy, hydrostatics, architecture etc. etc.‎

Referencia librero : 49682

‎"BAK, P. (+) C. TANG (+) K. WIESENFELD.‎

‎Self-organized criticality: An explanation of the 1/f noise. - [REVOLUTIONIZING EVOLUTION: THE SELF-ORGANIZED CRITICALITY (SOC) THEORY]‎

‎(Litho, The American Physical Society), 1987. Royal8vo. In the original blue printed wrappers. In ""Physical Review Letters"" Vol. 59, Number 4, July 27, 1987. A few traces are having been bend to extremities. Small label with subscriber's name printed on to back wrapper. Otherwise a fine and clean copy. Pp. 381-84. [Entire volume: 381-519, (5) pp.].‎

‎First printing of Bak, Tang and Wiesenfeld landmark paper in which they proposed their self-organized criticality (SOC) theory or the Abelian sandpile model: the mechanisms by which complexity arises in nature. It is one of the very few evolutionary models to challenge Darwinism. It is regarded as one of the most profound and fundamental theories put forth in the later part of the 20th century and the paper is one of the most frequently-cited papers in the last few decades.Its concepts have been applied across fields as diverse as geophysics, physical cosmology, evolutionary biology and ecology, bio-inspired computing and optimization (mathematics), economics, quantum gravity, sociology, solar physics, plasma physics, neurobiology and many others.SOC is typically observed in slowly driven non-equilibrium systems with extended degrees of freedom and a high level of nonlinearity. ""The nonlinear dynamics approach encapsulated in GCT envisions self-organization as an asymptotic process of approaching stability through a series of intermediate states (also known as evolution). There exists, however, a fundamentally different process known as self-organized criticality (SOC) in which an avalanche-like transformation rapidly moves the system into a self-organized mode. A popular metaphor for SOC is the sandpile paradigm. If additional sand grains are randomly added on top of a sand pile then inevitably an instance will occur when local steepness of the slope surpasses a certain critical threshold thus causing local failure of structural stability. The excess of material will cascade into adjacent areas of the pile causing their failures as well. Thus an avalanche will occur, shifting the entire sandpile into a new stable state. What is fundamentally important in this process is that a random local event quickly propagates through the entire system, thus establishing longrange correlations within the system"" (Rosenfeld, Global Consensus Theorem and Self-Organized Criticality).""Ask the average person, What is the theory of evolution? and you are likely to get answers like ""natural selection"", or ""survival of the fittest"", or ""Darwin's theory"". Because these ideas are systematically taught in classrooms, they may represent the only evolutionary theory people know. But, ask, What is the theory of Earth evolution? you will likely get a blank stare, or at best a superficial discussion of the fossil record. The Earth as a multi-faceted evolutionary system that undergoes continuous change through time was incorporated in the National Science Education Standards, even if it is absent from many contemporary curricula and common perceptions. Darwinism, however, is not the only mechanism of evolution. If we define evolutionary change as any process that leads to increases in complexity, diversity, order, and/or interconnectedness then there are at least three distinct mechanisms, or theories of evolution: elaboration, self-organization, and fractionation."" (Journal of Geoscience Education, v. 58, n. 2, March, 2010, p. 58-64).‎

Referencia librero : 49715

‎BETH, E.W.‎

‎L'Existence en Mathematiques. Conference faites a la Sorbonne au titre des échanges culturels franco-néerlandais du 29 mars au 7 Avril 1954.‎

‎Paris, Louvain, Gauthier-Villars, 1956. Orig. printed wrappers. (6),60 pp. Stamps on foot of title-page.‎

‎First edition.‎

Referencia librero : 49727

‎NETTO, EUGEN.‎

‎Lehrbuch der Combinatorik. Zweite Auflage erweitert und mit Anmerkungen versehen von Viggo Brun und Th. Skolem.‎

‎Leipzig u. Berlin, Teubner, 1927. Orig. full cloth. Stamp on foot of title-page. VIII,341. Internally clean. With the name of Jørgen Jørgensen, Dansh logician, on front free endpapers‎

Referencia librero : 49739

‎"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.‎

‎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).‎

Referencia librero : 49741

‎"JACOBI, C. G. J.‎

‎Observatio arithmetica de numero classium divisorum quadraticorum formae yy + Azz, designante A numerum primum formae 4n+3.‎

‎[Berlin, G. Reimer, 1832]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1832, Pp. 189-192.‎

‎First appearance of Jacobi's very first paper on class number formula. The search for a class number formula probably began with Gauss, but the first formula in print was proposed by Jacobi (1832). He conjectured it on the evidence of some results of Cauchy in the theory of circle division, and his own brilliant extrapolation (or einduction"" as they called it then) from numerical results. Jacobi's formula was correct, but by no means proved by him. In a memorial speech for Jacobi, Dirichlet later said ""I believe it should be mentioned, regarding the previously unknown origin of this result, that Jacobi's communication is a noteworthyexample of shrewd induction, even though it is not possible to base a rigorous proof on circle division" it appears necessary to use essentially different principles, involving integral calculus and the theory of series, which were only later introduced into the subject. (Dirichlet, 1852).‎

Referencia librero : 49762

‎"LAMÉ, G. (+) B. P. E. CLAPEYRON.‎

‎Mémoire sur l’équilibre intérieur des corps solides homogènes. - [VERY EARLY WORKS ON THE THEORY OF ELASTICITY]‎

‎[Berlin, G. Reimer, 1831]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1831, Pp. 145-69.‎

‎First printing of Lamé and Glapeyron seminal paper which constitute one of the very earliest works on the theory of elasticity.Lame's stress ellipsoid, here presented for the first time is an alternative to Mohr's circle for the graphical representation of the stress state at a point. The surface of the ellipsoid represents the locus of the endpoints of all stress vectors acting on all planes passing through a given point in the continuum body.""During their service in St. Petersburg, these two engineers wrote their important memoir ""Sur l'équilibre interieur des corps solides homogénes"" [...]. This memoir owes its importance to the fact that it contains not only a derivation of the equations of equilibrium (which were already known at that time from the work of Navier and Cauchy) but also some applications of these general equations to the solution of problems of practical interest.In the first section of the memoir they deduce the equations of equilibrium using Navier's notion of the molecular forces and show that the same equations are obtained by using the concept of stresses, introduced by Cauchy. In the second section the stresses at a point of an elastic body are studied and it is shown that if, for each plane passing through the point, the corresponding stress is represented by a vector drawn from that point, the ends of all such vectors will be on the surface of an ellipsoid. This is the so-called 'Lamé stress ellipsoid'."" (Timoshenko, History of Strength and Materials Pp. 115-6).""Following his graduation in 1820, he went to Russia with his friend Bénoit Clapeyron. There he was appointed director for the School of Highways and Transportation at St. Petersburg and introduced mechanical testing for the iron used in the construction of suspension bridges. Praised by Todhunter and Pearson for the clarity of his exposition and the depth of his though, Lamé's greatest contributions were made through his lectures and textbooks. He wrote extensively on elasticity and was the first to advance the theory of failure based upon an ultimate tensile stress. His name is immortalized by the ""Lamé Equations"" for determining the strength of thick cylinders"" (Bibliotheca Mechanica, P. 193).‎

Referencia librero : 49764

‎"JACOBI, C. G. J.‎

‎Untersuchungen über die Differentialgleichung der hypergeometrischen Reihe. - [JACOBI POLYNOMIALS]‎

‎Berlin, Georg Reimer, 1859. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 56, 1859. Entire volume offered. Fine and clean. 149-65 pp. [Entire volume: IV, 375, (1) pp.].‎

‎First printing of Jacobi's paper (published posthumously) in which Jacobi polynomials was first introduced. Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials. The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.‎

Referencia librero : 49768

‎"COUSIN, PIERRE.‎

‎Sur les fonctions de n variables complexes. - [THE TWO COUSIN PROBLEMS]‎

‎Berlin, Stockholm, Paris, Beijer, 1895. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 19, 1895. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-62.[Entire volume: (4), 395 pp].‎

‎First printing of Cousin's important paper containing the first appearance of his two ""Cousin problems"": two questions in several complex variables, concerning the existence of meromorphic functions that are specified in terms of local data.‎

Referencia librero : 49772

‎"LAGRANGE, (LA GRANGE), JOSEPH LOUIS. - A FUNDAMENTAL MEMOIR IN THE THEORY OF NUMBERS‎

‎Sur La Solution des Problemes Indéterminés du Second Degré.‎

‎(Berlin, Haude et Spener, 1769). 4to. No wrappers as issued in ""Memoires de L'Academie Royale des Sciences et Belles Lettres"", tome XXIII, pp. 165-310. Clean and fine.‎

‎First edition of a fundamental paper in the Theory of Numbers in which Lagrange gives a solution in integers of indeterminate equations of the second degree - a remarkable turning point in Diophantine analysis. - Fermat had asserted that he could determine when the more general equation x2-Ay2=B was solvable in integers and that he could solve it when solvable, but Lagrange solved it in this paper and furthermore he gives the complete solution to the problem of giving all integral solutions of a general equation where the coefficients are integers. - Cajori calls Lagrange ""One of the greatest mathematicians of all times."" - Poggendorff I:1344.‎

Referencia librero : 49805

‎"WEIL, ANDRÉ. - WEIL'S UNIFORM SPACE INTRODUCED.‎

‎Sur les Espaces a Structure uniforme et sur la Topologie générale.‎

‎Paris, Hermann & Cie, Frontwrapper: 1937, Titlepage: 1938. Lex8vo. Uncut and unopened in orig. printed wrappers. Stamps on foot of titlepage. In the series ""Act. Sci. Industrielles 551, Paris, 1937"".‎

‎First edition of Weil's importent work on uniform topological spaces where he gives the first explicit definition of uniform structure""His most widely used innovation was in point set topology, namely the idea of uniform spaces. Such a space has no metric giving a distance between points, yet it makes sense to talk of different sequences ""converging at the same rate"" to different points. In particular there is a well-defined notion of uniform convergence of a series of functions from one uniform space to another."" (DSB).‎

Referencia librero : 49866

‎BARCELÓ, ANTONIO PORTUONDO Y.‎

‎Essai sur L'Infini.‎

‎Paris, Gauthier-Villars et Cie, 1927. Orig. printed wrappers. a small nick to one corner of frontwrapper. Stamps on titlepage. VIII,102 pp., 2 folded plates. Clean and fine.‎

‎First French edition. First published 1880.‎

Referencia librero : 49870

‎"CARNAP, RUDOLF.‎

‎Foundations of Logic and Mathematics.‎

‎Chicago, The University of Chicago Press, (1953). 8vo. In the original blue printed wrappers. Light miscolouring and wear to extremities. Paper label pasted on to verso of back wrapper. Otherwise a fine and clean copy. VIII, 71 pp.‎

‎Seventh impression of Carnap's seminal publication of his semantical period. Here Carnap presents a clear and detailed account of the application of logic and mathematics in empirical science and the central importance of the analytic/synthetic distinction herein.Carnap thought that the logic of science could be fruitfully applied to the problems of quantum theory as well. In particular, the final sections of Foundations of Logic and Mathematics (1939, 24, 25) suggest that the vexed question of the ""interpretation"" of the wave-function can be resolved by appreciating that theories of modern mathematical physics operate with ""abstract"" terms which are implicitly defined, in the manner of Hilbert, in an axiomatic system (and thus require no ""intuitive"" or ""visualizable"" meaning) but which still relate to empirical phenomena (experimental measurements) indirectly. (Cambridge Companion to Carnap).These thoughts anticipate Carnap's later conception of the ""partial interpretation"" of theoretical terms.Rudolf Carnap (born 1891 in Ronsdorf, Germany, died 1970 in Santa Monica, California) was an immensely influential analytic philosopher, who has contributed decisively to the fields of logic, epistemology, semantics, philosophy of science, and philosophy of language. He was one of the leading figures of the Vienna Circle, and a prominent logical positivist. He studied philosophy, physics and mathematics at the universities of Berlin and Freiburg, and worked at the universities of Jena, Vienna and Prague until 1935, when he, due to the war, emigrated to the U.S., where he became an American citizen in 1941. In America he became professor of the University of Chicago.‎

Referencia librero : 49897

‎KNEALE, WILLIAM AND MARTHA.‎

‎The Development of Logic.‎

‎Oxford, Clarendon Press, (1966). Orig. full cloth. VIII,762 pp. Clean and fine.‎

Referencia librero : 50227

‎"L'HÔPITAL (L'HOSPITAL), (GUILLAUME FRANÇOIS ANTOINE DE). - FIRST TREATISE ON THE DIFFERENTIAL CALCULUS.‎

‎Analyse des infinite Petits. Suivie d'un nouveau Commentaire pour l'intelligence des endroits les plus difficiles de cet Ouvrage. Par l'Autheur du Guide des jeunes Mathématiciens dans l'étude des Lecons de Mathematique de M. l'Abbé de la Caille.‎

‎Avignon, Veuve Girard & Francois Seguin, 1768. 8vo. Contemp. full mottled calf. Wear to top of spine. Richly gilt spine, titlelabel with gilt lettering. (2),XXXI,380 pp. and 8 folded engraved plates. On verso of title-page a stamped exlibris. On inside frontcover an engraved exlibris ""John Cookney"". Internally clean, printed on good paper.‎

‎This edition of the first treatise on the differential calculus, first published 1696, is the first with the commentaries by the famous French astronomer Nicolas-Louis De Lacaille, taken from his noted ""Leçons élémentaires de mathématiques"".""The Analyse des infiniment petits was the first textbook of the differential calculus. The existence of several commentaries on it - one by Varignon (1725) - attests to its popularity. The question of its intellectual ownership has been much debated. Jean Bernoulli, who is known to have instructed L’Hospital in the calculus about 1691, complained after L’Hospital’s death that he (Bernoulli) had not been given enough credit for his contributions. L’Hospital himself, in the introduction to his books, freely acknowledges his indebtedness to Leibniz and to the Bernoulli brothers. On the other hand, he states that he regards the foundations provided by him as his own idea, although they also have been credited by some to Jean Bernoulli. However, these foundations can be found, less explicitly, also in Leibniz, although Leibniz made it clear that he did not accept L’Hospital’s Platonistic views on the reality of infinitely small and infinitely large quantities.""(DSB).‎

Referencia librero : 50313

‎"LEE, C, Y.‎

‎Representation of Switching Circuits by Binary-Decision Programs. - [FIRST PUBLICATION ON BINARY DECISION DIAGRAMS]‎

‎New York, American Telephone and Telegraph Company, 1959. 8vo. In the original printed blue wrappers. In ""The Bell System Technical Journal"", Volume XXXVIII, July, Number 4, 1959. Entire issue offered. Light miscolouring to spine. A fine fine and clean copy. Pp. 985-1000. [Entire issue: 909-1065 pp.].‎

‎First edition of the Lee's important paper on binary decision diagrams, a data structure that is used to represent a Boolean function. The idea was developed by Claude Shannon. The switching function is split into two sub-functions by assigning one variable. If a sub-function is considered as a sub-tree, it can be represented by a binary decision tree. Binary decision diagrams were introduced by Lee in the present paper.‎

Referencia librero : 50441

‎"FISHER, RONALD.‎

‎The Analysis of Variance with Various Binomial Transformations.‎

‎(No place, Oxford University Press, 1954). 8vo. Stapled. Extracted from ""Biometrika"", 1954. before being bound. Presumingly serving the purpose of an offprint. A very fine a clean copy, near mint. Pp. 130, (1), 131-139.‎

‎First appearance of Fisher's paper on the analysis of variance.""Fisher devised his own extension of significance testing, the remarkable analysis of variance. This was bound in with his novel ideas on the wide subject of the theory of experimental design. He emphasized not merely the desirability but the logical necessity, in the design of an experiment whose results could not be freed from error, of maximizing efficiency (by devices such as blocks and confounding), and of introducing randomization in such a way as to furnish a valid estimate of the residual error. Whereas the time-honored practice in handling several factors had been to vary only one at a time during the experiment, Fisher pointed out that simultaneous variation was essential to the detection of possible interaction between factors, and that this change could be made without extra cost (in terms of experimental size and operational effort). Entrained with these innovations was the use of randomized blocks and Latin squares for the actual disposition of the test units."" (DSB)‎

Referencia librero : 50447

‎KULISCH, ULRICH (+) WILLARD L. MIRANKER.‎

‎New Approach to Scientific Computation (Computer Science and Applied Mathematics).‎

‎Orlando, Academic Press, 1983. 4to. In the original full blue printed cloth with gilt lettering to spine and front board. A very fine and clean copy. XIV, (2), 384 pp.‎

Referencia librero : 50562

‎KÖRNER, T. W.‎

‎The Pleasures of Counting.‎

‎Cambridge, Cambridge University Press, 2000. 4to. In the original printed wrappers. Very fine and clean. 534 pp.‎

Referencia librero : 50567

‎KENG, HUA LOO.‎

‎Introduction to Number Theory‎

‎Berlin, Springer-Verlag, 1982. Royal8vo. In the original yellow full cloth. A very fine and clean copy. XVIII, 572 pp.‎

Referencia librero : 50573

‎HORST, PAUL.‎

‎Factor Analysis of Data Matrices.‎

‎New York, Holt, Rinehart and Winston, 1965. 8vo. In the original full green cloth in the original dust jacket. Fine and clean. 727 pp.‎

Referencia librero : 50578

‎REINGOLD, EDWARD M.‎

‎Combinatorial Algorithms: Theory and Practice.‎

‎New Jersey, Prentice-Hall, 1977. 4to. In the original printed cardboard binding (hardback). Very fine and clean. 432 pp.‎

Referencia librero : 50592