This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1904 edition. Excerpt: ...(jJ sont necessairement egaux a +i. Il reste donc seulement a montrer que, si 2 represente un carre non premier a 2, et si tous les caracteres sont egaux a-+-1, 2j; est encore une forme S. Soit alors 4B2 le carre dont il s'agit, 2 peut s'ecrire (20) 2 = 4(B2z2 + Mzx-+-Nsy + Px2-+-Qxy 4-R72); par ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1904 edition. Excerpt: ...(jJ sont necessairement egaux a +i. Il reste donc seulement a montrer que, si 2 represente un carre non premier a 2, et si tous les caracteres sont egaux a-+-1, 2j; est encore une forme S. Soit alors 4B2 le carre dont il s'agit, 2 peut s'ecrire (20) 2 = 4(B2z2 + Mzx-+-Nsy + Px2-+-Qxy 4-R72); par hypothese, 2B et 1 ne sont pas premiers entre eux, c'est-a-dire que les nombres 2B, 4B2P-M2, 4B2R-N2, 2B2Q-MN, 4PR--Q% 2MR-NQ, 2NP-MQ, ont un diviseur commun: il en resulte que 2B, M, N ont aussi un diviseur commun p, et que certains des facteurs premiers de p entrent dans 4PR--Q2-Soient co', co," ces facteurs; ils figurent necessairement parmi ceux co, coa, ..., de u. Cela pose, si p est impair, le raisonnement du n 91 sera encore applicable, pourvu que la forme binaire P#2 4-Qxy 4-Ry2 puisse representer un residu quadratique de tous les facteurs premiers de p. 11 n'y a de difficulte que pour ceux de ces facteurs co', co," qui entrent dans 4PR--Q3; la representation consideree n'est possible que si le caractere quadrique de la forme binaire par rapporta chacun des nombres co', co,.".., est egal a + i. Mais cette condition se trouve satisfaite; car, par hypothese, le caractere quadratique de 2 par rapport a co, co2, ... est +1: d'ailleurs, co', co..". sont des diviseurs de 2B, M, N et figurent parmi les co, co2, ...; donc, en vertu de l'expression (20) de 2, les caracteres quadratiques de Pa?24-Qxy 4-Ry2 par rapport a co', co,.".. sont egaux a ceux de 2, c'est-a-dire a 4-1. La demonstration serait la meme si p etait...
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Add this copy of Journal De Mathematiques Pures Et Appliquees: Ou, to cart. $25.00, good condition, Sold by Sequitur Books rated 5.0 out of 5 stars, ships from Boonsboro, MD, UNITED STATES, published 1859 by Mallet-Bachelier.
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Good. Size: 0x0x0; 27 cm. 429 p. Softcover in publisher's green wraps. Entire year. French. Significant wear/tear to wraps. Clean, unmarked pages. Binding split in two down center.
Add this copy of Journal De Mathematiques Pures Et Appliquees: Ou, to cart. $30.00, good condition, Sold by Sequitur Books rated 5.0 out of 5 stars, ships from Boonsboro, MD, UNITED STATES, published 1841 by Bachelier.
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Good. Size: 0x0x0; 27 cm. 496 p. Softcover in wraps. Entire year. French. Significant wear/tear to wraps with loss. Rear wrap detaching. Clean, unmarked pages.
Add this copy of Journal De Mathematiques Pures Et Appliquees. Tome 15 to cart. $200.00, very good condition, Sold by Xerxes Books rated 5.0 out of 5 stars, ships from Glen Head, NY, UNITED STATES.
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Paris 1850 Gauthier-Villars. In French. Lg.4to., 520p., index, original pale yellow printed wraps. Includes works by Serret, Bourgoin, Popoff Liouville, Soufflet, Puiseux, Voizot, Cayley, de Caligny, Lebesque, Duhamel others. VG, light wear, a few pages toned; some pages lightly foxed. No ownership marks.
Add this copy of Journal De Mathematiques Pures Et Appliquees. Serie 6: to cart. $284.43, Sold by Zubal Books rated 4.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1978 by Elseiver.
Edition:
1978, Elseiver
Details:
Publisher:
Elseiver
Published:
1978
Alibris ID:
13672056281
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Volumes 57-68; partly bound, ex library, price is for the lot. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request.
Add this copy of Journal De Mathematiques Pures Et Appliquees. Tome to cart. $350.00, very good condition, Sold by Xerxes Books rated 5.0 out of 5 stars, ships from Glen Head, NY, UNITED STATES.
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Paris 1841 Gauthier-Villars. In French. Lg.4to., 495p., index, later plain black paper wraps. Includes works on/by Liouville, Lame, de Caligny, Binet, Gaass, Jacobi, Raabe and many others. VG, light wear, some light foxing, page edges lightly curled. Largely unopened. No ownership marks.
