‎Mathématiques‎

‎"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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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

书商的参考编号 : 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).‎

书商的参考编号 : 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).‎

书商的参考编号 : 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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 49897

‎KNEALE, WILLIAM AND MARTHA.‎

‎The Development of Logic.‎

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

书商的参考编号 : 50227

‎ABEL, NIELS HENRIK.‎

‎Oeuvres Completes. Nouvelle Édition publiée aux frais de L'État Norvégien par L. Sylow et S. Lie. 2 vols.‎

‎Christiania, Grøndahl & Søn, 1881. 4to. Bound in one contemp. hcalf. Richly gilt. Top edge gilt. Spine loose. Block tight and fine. (4),VIII,621(4),338,(3) pp. Printed on good paper, internally clean and fine.‎

书商的参考编号 : 35655

‎"TARSKI, ALFRED.‎

‎Pojecie Prawdy w Jezykach Nauk Dedukcyjnych (Polish). [The Concept of Truth in Formalized Languages]. - [FOUNDING MODERN LOGICAL SEMANTICS]‎

‎Warszawa, 1933. Small 4to. Orig. printed wrappers, sunned at the edges, but otherwise near mint condition, also internally. An excellent copy. VII, (1), 116, (1, - errata) pp.‎

‎The exceedingly scarce first printing of Tarski's most important and influential work, ""The Concept of Truth in Formalized Languages"", which founded modern logical semantics.The work appeared in an extremely small number, in Polish, and many copies of the article have later been destroyed, thus, the work is of the utmost scarcity. In this seminal article the Polish-American logician and mathematician Alfred Tarski devotes himself to ""the definition of truth"". ""Its task is to construct -with reference to a given language- a materially adequate and formally correct definition of the term ""true sentence""."" (Introduction, English translation, 1956). With this work the face of logic was changed forever. The ""Concept of Truth"" constitutes a landmark event in 20th century analytic philosophy, and it ranks as one of the most important contributions to symbolic logic, semantics and philosophy of language. In this work Tarski develops the semantic theory of truth for formal languages and determines the fact that no language can contain its own truth predicate. Tarski thus concluded that the semantic theory could not be applied to any natural language. -This was later used by e.g. Davidson to construct his truth-conditional semantics, and the problems solved by Tarski are some of the same that Russell and Whitehead struggled to solve in their ""Principia Mathematica"".Tarski (1901-1983) has contributed seminally to the fields of mathematics and logic in a number of ways, and together with Frege, Russell and Gödel, he now ranks as one of the most important contributors to the field of modern logic. At the time of Franz Brentano (1838-1917), one of the philosophers of the greatest significance for contemporary philosophy and in many ways a forerunner of present-day empiricism, it was very unusual for a metaphysician to acknowledge that philosophical investigation must go hand in hand with an analysis of language. Linguistic analysis has thus been almost totally limited to the pure empiricists of philosophy, who reject all forms of metaphysics. Meanwhile, ontologists and metaphysicians have been satisfied with the ordinary language and asked no questions about its possible limitations, merely dismissing the logical faults and adding the odd neologisms. Today, however, especially within the English speaking tradition, linguistic analysis has reached a degree unheard of at the time of Brentano, and it is now generally accepted that certain logical and epistemological problems can be solved only by forsaking ordinary language and substituting it for artificially constructed language systems that follow certain principles. Thus, difficulties that appeared within earlier philosophical doctrines are meant to disappear if the theory can be formulated more precisely, and one of the most important examples is the ""adequacy theory of truth"". Tarski shows that the concept of truth of the adequacy theory can be introduced in a perfectly exact way within the formalized language systems that are equipped with precise rules of interpretation, and thus he rids us of the usual misgivings against the concept of truth. And thus he has developed one of the most important theories of modern logic.""Tarski's investigations are of singular philosophical significance for another reason as well. Within the framework of semantics, which he founded and which Carnap later developed further, it becomes possible for the first time to introduce the notion of an analytic judgment (or an analytic statement) in a form that is both sufficiently general and of the utmost precision. This notion also plays an exceptionally important role in Brentano's philosophy, especially in his studies in formal logic."" (Stegmüller, Main Currents... p. 56). When constructing a semantical system, a vocabulary of the desired object language must be determined as the first. Then formulation rules must be specified, before the rules of interpretation are laid down, and finally the rules of application are supplied. The most important rules here are the rules of truth, and the concept of truth is one of the most important semantical concepts at all, for without them no understanding of the sentences within the system would be ensured. And, of course, the truth definitions must satisfy a condition of adequacy. ""...This form of an adequacy condition that must be satisfied by every semantical truth concept goes back to the Polish logician, Stanislaw Lesniewski. But it was the logician Alfred Tarski who above all made use of this notion, and who first studied in detail the possibilities of introducing a formally exact and materially adequate concept of truth into the precise languages of science. Carnap's accounts of semantical systems rest largely on the prior works of Tarski."" (Stegmüller, p. 311). Tarski also pointed out that it is necessary for all semantical concepts, and especially for the concept of truth, to strictly separate object language and metalanguage. Otherwise we would put ourselves in the unlucky position of being able to prove both a statement and its negation at the same time. In the English translation from 1956 of Tarski's works, ""Logic, Semantics, Metamathematics"", the bibliographical information about this article is erroneous.‎

书商的参考编号 : 35832

‎"EULER, LEONHARD.‎

‎Sur une Contradiction apparente dans la Doctrine des Lignes courbes (On an apparent contradiction in the theory of curves) + (continuation:) Demonstration sur le Nombre des Points, ou deux Lignes des Ordres quelques peuvent se couper (A proof concerni...‎

‎(Berlin, Haude et Spener, 1750). 4to. No wrappers, as issued in ""Mémoires de L'Academie Royale des Sciences et Belles-Lettres"", tome IV, pp. (219)-233 and (234)-248.‎

‎First edition of two early works by Euler on ""Higher Plane Curves"". He discusses the question of whether nine points determine a unique cubic curve, considers the same question for 14 points and quadratic curves, 20 points and so on. He solves the problem using a system of equations. In the following paper he concludes that there are at most mn points of intersection, with some of the points possibly imaginary. - Eneström, Euler Bibliography E 147 a. E 148.‎

书商的参考编号 : 36110

‎"ARCHIMEDES OF SYRACUSE.‎

‎Archimedous ta sozomena meta ton Eutokiou Askaloniton hypomnematon (Greek). Archimedis quae supersunt Omnia cum Eutocii Ascalonitae Commentariis. Ex Josephi Torelli, Veronensis, cum nova Versione Latina. Accedunt Lextiones variantes ex Codd. Mediceo e...‎

‎Oxford, Clarendoniano, 1792. Folio. Bound to style in a nice recent full brown morocco, gilt title on spine. Kept in a matching protective slipcase. Engraved frontispiece. Engraved title-vignette (Archimedes). (2),V,XXIX,471,(1) pp. One engraved plate. Many textdiagrams. Mild browning to upper part of title-page. Greek and Latin text. The last 20 leaves with browning in upper right corner. A few corners repaired (no loss). A few scattered brownspots, otherwise clean and fine, wide-margined.‎

‎First edition of Torelli's remarkable edition of Archimedes' Opera Omnia. ""Of the many editions prior to the modern edition of Heiberg, the most important was that of Joseph Torelli (Oxford, 1792). By this time, of course, Archimedes’ works had been almost completely absorbed into European mathematics and had exerted their substantial and enduring influence on early modern science.""(DSB).Archimedes was called ""the God of mathematics"" by Plinius, and he is without doubt the greatest mathematician, physicist and engineer of ancient times and one of the greatest geniuses of all times. ""There is no one individual whose work epitomizes the character of the Alexandrian age so well as Archimedes (287-212 B.C.), the greatest mathematician in antiquity"" (Morris Kline). ""He gave birth to the calculus of the infinite conceived and brought to perfection successively by Kepler, Cavalieri, Fermat, Leibnitz and Newton."" (Chasles). Lowndes I,61-62: ""The most complete and magnificent edition of this authors works."" - Brunet I,384.‎

书商的参考编号 : 50349

‎"SHEWHART, W. A.‎

‎Quality Control.‎

‎New York, American Telephone and Telegraph Company, 1927. 8vo. In the original printed blue wrappers. In ""The Bell System Technical Journal"", Volume VI, October, Number 4, 1927. Entire issue offered. Light miscolouring to spine. A fine fine and clean copy. Pp. 722-735. [Entire issue: 551-752 pp.].‎

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

书商的参考编号 : 50443

‎DEGEN, C. F.‎

‎Bidrag til det Mathematiske Studiums Kritik, eller: Betragtninger over hvad der udfores til Mathematikens heldige Dyrkelse. Förste Afdeling. + Tillæg af adskillige meget almindelige Saetninger. (Alt som udkom).‎

‎(København, 1803). 4to. Uden omslag som udkommet i Videnskabernes Selskabs Skrifter. (79) pp. samt 1 kobberstukken planche.‎

书商的参考编号 : 50456

‎ORE, OYSTEIN.‎

‎Niels Henrik Abel: Mathematician Extraordinary.‎

‎New York, Chelsea, 1974. 8vo. In the original full dark blue cloth with gilt lettering to spine. A very fine and clean copy. 277 pp.‎

书商的参考编号 : 50565

‎LUKE, YUDELL L.‎

‎Algorithms for the Computation of Mathematical Functions.‎

‎New York, Academic Press. 1977. 8vo. In the original full cloth. Very fine and clean. 284 pp.‎

书商的参考编号 : 50571

‎DORN, WILLIAM S.‎

‎Mathematics & Computing With Fortran Programming.‎

‎New York, John Wiley, 1967. 8vo. In the original full cloth in the original dust jacket. Very fine and clean. 593 pp.‎

书商的参考编号 : 50577

‎"WIJNGAARDEN, A. VAN. [EDT.] (+) B. J. MAILLOUX (+) J. E. L. PECK (+) C. H. A. KOSTER‎

‎Report on the Algorithmic Language ALGOL 68. - [EARLY PUBLICATION ON THE ALGOL 68]‎

‎Berlin, Springer-Verlag, 1969. 8vo. In the original printed wrappers. Offprint from: ""Numerische Mathematik"", no. 14. Very fine and clean. Pp. 79-218.‎

‎Offprint of one of the very earliest reports on the computer programming language ALGOL 68. ""Attached will be first Report on the Algorithic Language ALGOL 68, submitted with a recommendation for publication under IFIP auspieces by Technical Comittee 2 in response to a request from Working Group 2.1."" (From the introduction to the present paper9.‎

书商的参考编号 : 50589

‎ZAREMBA, S.K‎

‎Applications of number theory to numerical analysis. Applications de la Théorie des Nombres à l'Analyse Numérique.‎

‎New York & London, Academic Press, 1972. 8vo. In the original full cloth binding. Very fine and clean. 489 pp.‎

书商的参考编号 : 50594

‎"PEANO, GIUSEPPE.‎

‎Operazioni sulle grandezze.‎

‎Torino, Fratelli Bocca, 1922. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. LVII, Disp. 8a e 9a, 1921-1922. Small paper label pasted on to lower left part of front wrapper. A few nicks to front wrapper. A very fine and clean copy. Pp. 310-331. [Entire issue: Pp. 305-347].‎

‎First appearance of Peano's important paper operations of variables. The famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe Peano (1858 -1932) studied mathematics at the University of Turin, where he was employed just after graduating (1880), and where he stayed almost all of his life, devoting this to mathematics. After having graduated with honours, he was employed to assist first Enrico D'Ovidio, and then the renowned Angelo Genocchi, who possessed the chair of Infinitesimal calculus. In 1890 Peano became extraordinary professor, and in 1895 ordinary professor, of infinitesimal calculus at the Unversity of Turin. hIS ""Principles of Arithmetics"" (the present work) constitutes his groundbreaking main work.‎

书商的参考编号 : 50754