Contributions Founding Theory Transfinite by Georg Cantor (115 results)

paperback. Condition: Good.

Condition: New.

Condition: New.

Condition: New.

Condition: New. pp. 227.

Soft cover. Condition: Good. Trade paperback in good condition. Unabridged and unaltered reprint of the English translation first published in 1915 (but no publication date listed in this book).

Condition: New.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condition: Good. Good condition with only minor wear.

Paperback. Condition: Very Good. Softcover. Good binding and cover. Shelf wear. Rubbing to edges. Stamped on front wrap. Owner's name on front end page, else unmarked. ix, 211 p. port., 21 cm. "One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.".

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Softcover. Condition: Sehr gut. Transl., and provided with an Introduction by Ph. E.B. Jourdain. Reprint of the edition 1915. NY, Dover (about 1990). 1 portrait. VII, 211 p. Pbck.

Trade Paperback. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. Reprint Edition. A Very Good or better copy in stiff paper covers. No date, but c.1960. (Not ex-library.). Book.

Softcover. 211 S. A00563 Ex-library with stamp and library-signature in good condition, some traces of use. Sprache: Englisch Gewicht in Gramm: 550.

Hardback. Condition: New.

Brossura. Testo in Lingua Inglese. English Text. Book in good conditions. Numero di tavole: 0 pp.211 altezza 0 larghezza 0 Esemplare in condizioni molto buone.Lievi tracce di polvere alla copertina e minimi segni d'usura.Lieve ingiallimento delle pagine.Testo in Lingua Inglese. English Text. Book in good conditions.

Condition: Buone. inglese Condizioni dell'esterno: Discrete con difetti, strappi bruniture Condizioni dell'interno: Discrete con Difetti, bruniture sottolineature.

Condition: New.

Condition: VG. LaSalle 1941 Open Court. Reprinted from the 1915 edition. Owner signed on front flyleaf. Hardcover. Octavo, 211pp., index, cloth. VG in worn DJ.

Brossura. Condition: ottimo. In inglese. Brossura editoriale formato cm 13,50 X 21,00, pagg VII + 212. Ottimo esemplare, con foto dell'autore. Georg Ferdinand Ludwig Philipp Cantor è stato un matematico tedesco, padre della teoria degli insiemi. Cantor ha allargato la teoria degli insiemi fino a comprendere i concetti di numeri transfiniti, numeri cardinali e ordinali. Cantor riconobbe che gli insiemi infiniti possono avere differenti cardinalità, separò gli insiemi in numerabili e più che numerabili e provò che l'insieme di tutti i numeri razionali è numerabile, mentre l'insieme di tutti i numeri reali è più che numerabile, dimostrando in questo modo che esistono almeno due ordini di infinità. Egli inventò anche il simbolo che oggi viene usato per indicare i numeri reali. Fu il primo a capire che gli insiemi infiniti possono avere diverse grandezze: dunque esiste una gerarchia infinita di grandezze di insiemi infiniti, dalla quale sorgono i numeri cardinali e ordinali transfiniti, e la loro peculiare aritmetica. Per denotare i numeri cardinali usò la lettera dell'alfabeto ebraico aleph dotata di un numero naturale come indice (Alef zero); per gli ordinali utilizzò la lettera dell'alfabeto greco omega. L'innovativa teoria cantoriana, osteggiata durante la vita del suo creatore, è stata completamente accettata dai matematici moderni, che hanno riconosciuto nella teoria degli insiemi transfiniti uno slittamento di paradigma di prima grandezza. Qualsiasi infinito attuale è al di sopra di quello potenziale e si chiama anche transfinito. Al di sopra di tutti gli infiniti attuali, Cantor colloca l'Infinito assoluto, una realtà assolutamente astratta che non è un infinito matematico fatto di numeri e che non è accessibile né determinabile con l'analisi e il rigore logico-matematico. Cantor identificò l'unico Infinito assoluto con Dio, affermando che era descrivibile solo in termini di teologia negativa. Riteneva che i numeri usati in matematica avessero un'esistenza completamente separata, ciascuno interamente distinto e indipendente da qualsiasi considerazione di posizione in una catena di numeri da 0 a 1 e senza fine. Proprio come Dio aveva precedentemente confermato la necessaria realtà dei numeri transfiniti, Cantor fece un simile ricorso per garantire la correttezza della sua idea sull'origine indipendente dei numeri cardinali. Ancora una volta Cantor aveva invocato Dio per garantire l'assoluta verità dei principi fondamentali su cui si basava la sua teoria degli insiemi. Il prezzo del libro è comprensivo delle spese di confezionamento e spedizione mediante raccomandata tracciabile.

Dover Publications, New York No date. xi, 211 pp. Paperback. Fine condition.

orig.wrappers. Condition: Minior rubbing. VG. Reprint. 22x14cm, ix,211 pp., A facsimile reprint of the 1915 edition. PAPERBACK.

Hardcover. Condition: Very Good. No Jacket. Very Good; no jacket; the pages are clean and unmarked and the binding is solid; there is the remnant of a previous book plate now removed from the inside cover;

LeatherBound. Condition: New. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 236. A perfect gift for your loved ones. Reprinted from 1915 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English Pages: 236.

Leatherbound. Condition: NEW. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 248. A perfect gift for your loved ones. Reprinted from 1915 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English Pages: 248.

Soft cover. Condition: Good. No Jacket.

First edition in English, UK issue. ix, [1, blank], 211, [1], 14 [publisher's advertisements] pp. Original green ribbed cloth, spine lettered in black with publisher's device stamped in black at foot, front cover lettered in black within single black border (offsetting to endpapers, small contemporary bookseller's label of 'Thornton & Son, Oxford' to front pastedown, contents otherwise clean and unmarked; trivial wear to spine and corners, just the faintest hint of marking to rear cover, still a very fine copy). Chicago and London, The Open Court Publishing Company. The rare first English translation of the final major publication by the Russian-born German mathematician Georg Cantor (1845-1918), the culmination of his foundational work on transfinite set theory. Cantor 'is one of the most imaginative and controversial figures in the history of mathematics. Toward the end of the nineteenth century his study of continuity and the infinite eventually forced him to depart radically from standard interpretations and use of infinity in mathematics' (Dauben, p. 1). Originally published in German as a two-part paper titled Beitrage zur Begrundung der transfiniten Mengenlehre (1895-1897) in the journal Mathematische Annalen, the work stands as Cantor's 'last great summation of his set theory'. 'In its abstractness, in its independence from point sets and physical examples, the Beitrage represented Cantor's last effort to present mathematicians with the basic elements of his transfinite set theory. . Following publication of the Beitrage and its translation almost immediately into Italian and French, Cantor's ideas became widely known and circulated among mathematicians the world over. What is more important, the value of his transfinite set theory was quickly recognized, and soon Cantor's ideas were stimulating heated polemics between widely divided camps of mathematical opinion. Though Cantor never seemed able to avoid controversy and division over the nature of his work, he was, after 1895, increasingly defended by younger and more energetic mathematicians. No longer was he left to face the opposition alone. . For him, the crusade was nearly over, and though the theoretical difficulties were by no means satisfactorily resolved, recognition that Cantor had contributed something of lasting significance to the world of mathematics had been achieved' (Dauben, p. 158, 218). The earliest of any of Cantor's works to appear in English, the present translation was undertaken by the British logician Philip Jourdain (1879-1919), who also provided a substantial introduction to the text. A transatlantic publishing endeavour, the sheets of the first edition were printed in Great Britain, with the American issue bound in blue cloth lettered in gilt and the present UK issue bound in green cloth lettered in black. See: Joseph Warren Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite.

LeatherBound. Condition: New. LeatherBound edition. Condition: New. Reprinted from 1911 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. Pages: 237 As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 237 Language: English.