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.
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.
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.
[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. Fine and clean. Pp. 381-414.
First French translation (and translation in general) of Cantor's fifth, thus most important, paper in his series of papers which founded set theory. (The first mentioned).It contained Cantor's reply to the criticism of the first four papers and showed how the transfinite numbers were a systematic extension of the natural numbers. It begins by defining well-ordered sets. Ordinal numbers are then introduced as the order types of well-ordered sets. Cantor then defines the addition and multiplication of the cardinal and ordinal numbers. In 1885, Cantor extended his theory of order types so that the ordinal numbers simply became a special case of order types. It was later published as a separate monograph.The concept of the existence of an infinity was an important shared concern within the realms of mathematics, philosophy and religion. Preserving the orthodoxy of the relationship between God and mathematics was long a concern of Cantor's. He directly addressed this relationship between these disciplines in the introduction to the present paper, where he stressed the connection between his view of the infinite and the philosophical one. To Cantor, his mathematical views were closely linked to their philosophical and theological implications-he identified the Absolute Infinite with God and he considered his work on transfinite numbers to have been directly communicated to him by God, who had chosen Cantor to reveal them to the world.
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.
Cantor Eddie - Handman Lou,Turk Roy,Cantor Eddie - Turk Roy,Cantor Eddie,Handman Lou
Reference : 108802
(1923)
Waterson 1923
Etat moyen Format Américain Piano
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.
Philippe Cantor Baryton Poulenc Philippe Cantor Baryton
Reference : 30206
(2012)
ISBN : 3760130510226
Anima Records 2012 14x13x1cm. 2012. CD.
Expédié soigneusement dans une enveloppe à bulles depuis la France
[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)
Cantor Eddie - Gold Joe,Gibson Joe,Ribaud Joe - Gibson Joe,Ribaub Joe,Gold Joe
Reference : 108700
(1920)
Leo Feist inc. 1920
Bon état Format Américain Piano
Leo Feist inc. 1928
Bon état Format Américain Piano,Ukulélé
Stark and Cowan 1921
Bon état Format Américain Piano
Cantor Eddie - Friend Cliff,Tobias Charlie - Tobias Charlie,Friend Cliff
Reference : 109607
(1941)
Partitions sur la Seconde guerre mondiale Witmark 1941
Bon état Format Américain Piano
Leo Feist inc. 1923
Etat moyen Format Américain
S.I.P.. Non daté. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 63 pages. Non daté.. . . . Classification Dewey : 613-Hygiène
Classification Dewey : 613-Hygiène
CANTOR Georg - Ernst ZERMELO ( editor ) - Adolf FRAENKEL ( biography ) :
Reference : 56701
Hildesheim, Olms Verlag, 1966, (facsimile edition of the Berlin 1932 edition), softcover.
Jean-Pierre Astolfi-Maryline Cantor- Andre Laugier
Reference : RO40058534
(1995)
ISBN : 2091200689
NATHAN. 1995. In-4. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 95 pages illustrées en couleurs + contreplats illustrés en couleurs.. . . . Classification Dewey : 372.8-Livre scolaire : autres matières
Jean-Pierre Astolfi, Maryline Cantor, André Laugier, Elisabeth Ple, Charles Rongier, Patricia Schneeberger Classification Dewey : 372.8-Livre scolaire : autres matières
Yves Arvieu, Jean-Pierre Astolfi, Maryline Cantor
Reference : RO40058538
(2000)
ISBN : 2091200727
NATHAN. 2000. In-4. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 175 PAGES illustrées en couleurs.. . . . Classification Dewey : 372.8-Livre scolaire : autres matières
Yves Arvieu, Jean-Pierre Astolfi, Maryline Cantor, André Laugier, Xavier Pattyn, Patricia Schneeberger. Classification Dewey : 372.8-Livre scolaire : autres matières
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.
NOVA SCIENCE PUBLISHERS INC (7/2001)
LIVRE A L’ETAT DE NEUF. EXPEDIE SOUS 3 JOURS OUVRES. NUMERO DE SUIVI COMMUNIQUE AVANT ENVOI, EMBALLAGE RENFORCE. EAN:9781560729815
NOVA SCIENCE PUBLISHERS INC (9/2008)
LIVRE A L’ETAT DE NEUF. EXPEDIE SOUS 3 JOURS OUVRES. NUMERO DE SUIVI COMMUNIQUE AVANT ENVOI, EMBALLAGE RENFORCE. EAN:9781604566574
[Starmer ] - Cantor Eddie - Schwartz Jean - Atteridge Harold
Reference : 109456
(1922)
Jerome H. Remick 1922
Bon état Format Américain Piano
ED.1997. Broche tres bon etat . Interieur tres propre .430 pages. 1997. Maladies imaginaires, maladies réelles
Merci de nous contacter à l'avance si vous souhaitez consulter une référence dans notre boutique à Authon-du-Perche.
[Barbelle ] - Cantor Eddie - Ruby Harry,Leslie Edgar - Ruby Harry,Leslie Edgar
Reference : 72665
(1917)
Partitions sur la Première guerre Mondiale,Partitions sur les États-Unis Waterson 1917
Bon état Grand format Piano
Waterson 1923
Bon état Format Américain Piano