Disquisitiones Arithmeticae (Classic Reprint)

Excerpt from Disquisitiones Arithmeticae<br><br>Disquisitiones in hoc Opere contentae ad eam Matheseos partem pertinent quae circa numeros integros*versatur fractis plerumque surdis semper exclusis. Analysis indeterminata quam vocaînt seu diophantea quae ex infinitis solutioni bus problemati indeterminato satisfaeientibus eas seligere docet quae per nume ros integros aut saltem rationales absolvuntur (plerumque ea quoque conditione adiecta ut si1it positivi) non est illa disciplina ipsa sed potins pars eius valde spe cialis ad eamque ita fere se habet ut ars aequationes reducendi et solvendi (al gebra) ad universam Analysin. ''nimirum quemadmodum ad And''lyseos ditionem referuntur omnes quae circa quantitatum affectiones generales institui possunt dis quisitiones: itanumeri integri.(fractique quatenus per''integros''determinantur) obiectumpr0prium arithmeticae cohstituunt. Sed'' quum'' ea quae Arithmetices nomine vulgo traduntur vix ultra artem nume1andi et calculandi (i. E. Numeros per signa idonea e. G. Secundum systema decadicum exhibendi operationesque arithmeticas perficiendi) extendantu1 adiectis nonnullis quae vel ad Arithmeticam omnino non pertinent (ut''doctrina de logarithmis) vel saltem numeris integris non sunt propria - sed ad omnes quantitates patent: e re esse videtur duas Arithmeti cac partes distinguere illaque ad Arithmeticam elementarem referre omnes autem disquisitiones generales de'' numerorum integrorum affeètionibus propriis Amit/ume tz''cae de qua sola hic sermo erit Vindicare.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work preserving the original format whilst repairing imperfections present in the aged copy. In rare cases an imperfection in the original such as a blemish or missing page may be replicated in our edition. We do however repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.