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Sur les séries trigonométriques (transl. of Über trigonometrische Reihen) (+) Extension d'un théoréme de la théorie des séries trigonométriques.
Berlin, Stockholm, Paris, Beijer, 1883. 4to. As extracted from ""Acta Mathematica, 2. band."", Clean and fine. Pp. 329-348.
First transation of Cantor's important papers on trigonometric series.
Sur une propriété du systéme de tous les nombres algébriques réels. [Translated from the German: Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen]. - [FIRST CONTRIBUTION TO SET THEORY AND THE BIRTH OF THE THEORY OF THE TRANSFINITE]
[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 305-328.
First French [and general] translation of Cantor's famous and exceedingly influential paper which contains the first proof that the set of all real numbers is uncountable"" also contains a proof that the set of algebraic numbers is denumerable. ""This article is Cantor's first published contribution to the theory of sets. The deep and epoch-making result of the paper is not the easy theorem alluded to in the title - the theorem that that the class of real algebraic numbers is countable - but rather the proof, in 2, that the class of real numbers is not countable [...]. And that marks the start of the theory of the transfinite. [Ewald, Pp. 839-40].""The first published writing on set theory [the present paper], contained more than the title indicated, including not only the theorem on algebraic numbers but also the one on real numbers, in Dedekind's simplified version, which differs from the present version in that today we use the ""diagonal process,"" then unknown"" (DSB)
Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen in Math. Annalen. Bd. XXXIII, p. 154. - [CANTOR ON NUMBER THEORY]
Leipzig, B.G. Teubner, 1889. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet 1889 durch Rudolf Friedrich Alfred Clebsch. XXXIII.[33] Band. 3. Heft."" Entire issue offered. Internally very fine and clean. [Cantor:] P. 476. [Entire issue: Pp. (1), 318-476, (1)].
First printing of Cantor's important comment to Illigens paper from the same year: ""Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen"". He states that: ""The squareroot of 3 is thus only a symbol for number which has yet to to be found, but is not its definition. The definitions is, however, satisfactorily given by my method as, say (1.7, 1.73, 1.732, ...). [From the present paper]. Cantor is famous for his work on infinite numbers.
Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FINAL PAPER]
Leipzig, B.G. Teubner, 1884. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 23, 1884. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 453-488. [Entire volume: IV, 598, (2) pp.].
First printing of Cantor's seminal sixth paper in the landmark series consisting of a total of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. ""Cantor published a sequel in the following year as a sixth in the series of papers on the Punktmannigfaltigkeitslehre (The present paper). Though it did not bear the title of its predecessor, its sections were continuously numbered, 15 through 19"" it was clearly meant to be taken as a continuation of the earlier 14 sections of the ""Grundlagen"" itself. In searching for a still more comprehensive analysis of continuity, and in the hope of establishing his continuum hypothesis, he focused chiefly upon the properties of perfect sets and introduced as well an accompanying theory of content"" (Dauben, P. 111)Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1884a.
Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE SECOND PAPER]
Leipzig, B.G. Teubner, 1880. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 17, 1880. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 355-358. [Entire volume: IV, 576 pp.].
First printing of Cantor's important second paper of the landmark series consisting of a total of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. ""Cantor's second paper of 1880 was brief. It continued the bricklaying work of the article of 1879, and it too sought to reformulate old ideas in the context of linear point sets. It also introduced for the first time an embryonic form of Cantor's boldest and most original discovery: the transfinite numbers. As a preliminary to their description, however, Cantor introduced several definitions. He also pointed out that first species sets could be completely characterized by their derived sets."" (Dauben, P. 80)Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1880d.
Über unendliche, lineare Punktmannichfaltigkeiten. - [THE THEORY OF SETS AND INFINITE SETS - THE FIRST PAPER]
Leipzig, B.G. Teubner, 1879. 8vo. Bound in a nice contemporary half calf with five raised gilt bands. Red leather title label with gilt lettering to spine. All edged gilt. In ""Mathematische Annalen"", Band 15, 1879. Entire volume offered. Corners with wear, otherwise a very fine and clean copy. Pp. 1-7. [Entire volume: IV, 576 pp.].
First printing of Cantor's seminal exceedingly important first paper in his landmark series of six papers which together constitute the foundation Theory of Sets (Mengenlehre) and Transfinite Set Theory. Cantor here introduces his new Set Theory with which he created an entirely new field of mathematical research and is widely regarded as being one of the most important mathematical conquests in the 19th century. Hilbert spread Cantor's ideas in Germany and praised Cantor's transfinite arithmetic as ""the most astonishing product of mathematical thought, one of the most beautiful realizations of human activity in the domain of the purely intelligible"". He is famously quoted for saying ""No one shall expel us from the paradise which Cantor created for us"". Bertrand Russel described Cantor's work as ""probably the greatest of which the age can boast"".""The major achievement of the ""Grundlagen"" was its presentation of the transfinite ordinal numbers as a direct extension of the real numbers. Cantor admitted that his new ideas might seem strange, even controversial, but he had reached a point in his study of the continuum where the new numbers were indispensable for further progress. Cantor had finally come to the realization that his 'infinite symbols' were not just indices for derived sets of the second species, but could be regarded as actual transfinite numbers that were just as real mathematically as the finite natural numbers."" (Grattan-Guinness, Landmark Writings in Western Mathematics, Pp. 604-5).Dauben: (Cantor)1879b.
Bemerkung mit Bezug auf den Aufsatz: Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen (+) Die Zusammensetzung der stetigen endlichen Transformationsgruppen.
Leipzig, B. G. Teubner, 1889. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 33., 1889. 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. P. 476"" Pp. 1-48. [Entire volume: IV, 604 pp.].
First printing of CANTOR'S important comment to Illigens paper from the same year: ""Zur Weierstrass'-Cantor'schen Theorie der Irrationalzahlen"". He states that: ""The squareroot of 3 is thus only a symbol for number which has yet to to be found, but is not its definition. The definitions is, however, satisfactorily given by my method as, say (1.7, 1.73, 1.732, ...). [From the present paper]. First publication of KILLING'S important second paper (of a total of four) in which he laid the foundation of a structure theory for Lie algebras.""In particular he classified all the simple Lie algebras. His method was to associate with each simple Lie algebra a geometric structure known as a root system. He used linear transformation, to study and classify root systems, and then derived the structure of the corresponding Lie algebra from that of the root system.""(Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences)Unfortunately for Killing a myth arose that his work was riddled with error, which later has been proved untrue. ""As a result, many key concepts that are actually due to Killing bear names of later mathematicians, including ""Cartan subalgebra"", ""Cartan matrix"" and ""Weyl group"". As mathematician A. J. Coleman says, ""He exhibited the characteristic equation of the Weyl group when Weyl was 3 years old and listed the orders of the Coxeter transformation 19 years before Coxeter was born.""The theory of Lie groups, after the Norwegian mathematician Sophus Lie, is a structure having both algebraic and topological properties, the two being related.
Guide de calcul.
HACHETTE EDUCATION. 1990. In-12. Cartonné. Très bon état, Couv. fraîche, Dos satisfaisant, Intérieur frais. 191 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
"Guide de calcul- (Collection ""Toutes les connaissances de base en mathématiques"")"
Hachette éducation. 1992. In-12. Cartonné. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 191 pages. Nombreux schémas en rouge ou noir, dans le texte. Petites marques sur les plats.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
"Collection ""Toutes les connaissances de base en mathématiques"". Classification Dewey : 372.7-Livre scolaire : mathématiques"
"Guide de calcul "" Toutes les connaissances de base en Mathématiques"". Sommaire: Arithmétique- algèbre, Géométrie, mesures."
Hachette. 1990. In-12. Relié. Très bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 191 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Sommaire: Arithmétique- algèbre, Géométrie, mesures. Classification Dewey : 372.7-Livre scolaire : mathématiques
PASSEPORT NOUVEAU / POUR LA 5è (DE LA 6è A LA 5è) / MATHEMATIQUES.
HACHETTE. 1987. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 63 pages illustrées en couleurs et à completer - 1er plat illustré d'un dessin en cuoleurs.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
FICHES DE MATHEMATIQUES - CLASSE DE 5°
BORDAS. non daté. In-8. En feuillets. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. Pagination non continue, environ 80 fiches détachables, vierges.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Collection Cossart et Théron. Classification Dewey : 372.7-Livre scolaire : mathématiques
POINT BREVET, AIDE-MEMOIRE, MATHEMATIQUES
Hachette. 1991. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 143 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Point Brevet, 4. Classification Dewey : 372.7-Livre scolaire : mathématiques
LA MATHEMATIQUE AU CM1 ET 2 - GUIDE DU MAITRE.
BORDAS. 1985. In-12. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur acceptable. 128 pages illustrées de quelques figures dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
LES JOKERS BORDAS, MATHEMATIQUES 5e
Bordas. 1978. In-12. Broché. Etat d'usage, 2ème plat abîmé, Dos frotté, Intérieur frais. 236 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Le programme par les exercices. 700 exercices et 120 solutions. Classification Dewey : 372.7-Livre scolaire : mathématiques
LES JOKERS BORDAS - MATHS - CLASSE DE 5è / LE PROGRAMME PAR LES EXERCICE - 700 EXERCICES ET PROBLEMES GRADUES - AVEC 120 SOLUTIONS.
BORDAS. 1978. In-12. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur acceptable. 236 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
LA MATHEMATIQUE AU CE2
Bordas. 1981. In-4. Relié. Etat d'usage, Couv. légèrement passée, Dos abîmé, Intérieur bon état. 128 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Nouvelle collection Gérard Caparros. Classification Dewey : 372.7-Livre scolaire : mathématiques
