numeris complexis radicibus unitatis integris (8 Ergebnisse)

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

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

LeatherBound. Zustand: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1844 edition. 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. A perfect gift for your loved ones. Pages: 43 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. 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: 43 Ernst Eduard Kummer.

Vratislaviae, Göttingen, 1844. 28 Seiten, broschiert, Quart (fleckig)----Academiae Albertinae Regiomontanae. Secularia Tertia Celebranti / Accedit ernesti Eduardi Kummeri Disputatio de Numeris Complexis, Qui Unitatis Radicibus et numeris Integris Realibus Constant / Text Latein - 46 Gramm.

Leatherbound. Zustand: NEW. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. 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. A perfect gift for your loved ones. Reprinted from 1844 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 and contains approximately 44 pages. 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: Latin.

No Binding. Zustand: Very Good. 1st Edition. First edition, very rare, ANNOTATED BY KUMMER, of Kummer's first published work on factorizing certain types of complex numbers ('cyclotomic integers' in modern terminology), which was to prove crucial in the attempts by Kummer and others to prove Fermat's Last Theorem. In this paper, Kummer (1810-93) laid the foundations for the study of the cyclotomic integers, and indeed for algebraic number theory generally, such as the notions of conjugates of algebraic numbers, their norms, divisibility properties, prime elements, and units. There are two substantial marginal annotations by Kummer (pp. 8 & 24) and several minor corrections in ink in his hand. There are also several pencil annotations in a different hand, probably that of Jacob Lüroth (1844-1910). Every ordinary integer (whole number) can be expressed as a product of prime numbers, and this expression is unique up to re-ordering the factors. Kummer showed that, although every cyclotomic integer can be factorized as a product of primes, this factorization is not in general unique. Tradition has it that this work had been stimulated by Kummer's attempts to prove Fermat's Last Theorem, which states that the equation x^n + y^n = z^n, where n is an integer greater than 2, has no solution for positive integral values of x, y, and z. In 1843 Kummer showed Dirichlet an attempted proof of Fermat's Last Theorem, but Dirichlet pointed out that the proof depended on unique factorization. In the present paper, dedicated to the University of Königsberg on the occasion of its 300th Jubilaeum, Kummer showed, as Dirichlet had suspected, that this uniqueness property failed. This story is doubted by some, but in any case Kummer was not the only mathematician to fall into this trap. In March 1857, Gabriel Lamé delivered a lecture at the French Academy of Sciences in which he claimed to have a complete proof of Fermat's Last Theorem. Twelve weeks later, Lamé stood before the Academy and read a note from Kummer, who had pointed out that Lamé's proof depended on unique factorization, and that this property failed. Lamé translated the present paper by Kummer and published it next to his own in Liouville's Journal de Mathématiques Pures et Appliquées in 1847. But there was hope. Kummer showed in 1847 that unique factorization could be saved by using 'ideal complex numbers.' Kummer's ideal complex numbers would turn out to be a major breakthrough in the generalization of Fermat's Last Theorem. Using them Kummer was able to prove Fermat's Last Theorem in many cases, although not in general. "His contributions to Fermat's problem alone and his discovery of the basic ideas of algebraic number theory place him among the giants of mathematics" (Ribenboim, p. 1 in: Number Theory related to Fermat's Last Theorem, 1982). OCLC lists 3 copies in US. Library Hub records a single copy. No copies on RBH. 4to, pp. [vi], 28 (light browning, occasional minor stain, title page with single crease). Disbound.

Paperback. Zustand: Brand New. 38 pages. 8.75x5.75x0.09 inches. This item is printed on demand.

(23,5 x 20 cm). (6) 28 S. Rückenbroschur. (Academiae Albertinae Regiomontanae secularia tertia celebranti gratular Academia Vratislaviensis). Einzige Ausgabe. Hier "die berühmte Gratulationsschrift zur dritten Säcularfeier der Universität Königsberg (1844) über die aus mit ganzen Zahlen in Verbindung tretenden Einheitswurzeln gebildeten complexen Zahlen. Die sogenannten idealen Factoren waren damit in die Zahlentheorie eingeführt, und ihr Erfinder wußte von ihnen einen nie geahnten Gebrauch inbezug auf den Fermat'schen Unmöglichkeitssatz zu machen" (Cantor in ADB). - Leicht gebräunt bzw. stockfleckig. Mit senkrechtem Knick durch den Postversand. - DSB 7, 521.