Mnogomernaya geometriya v nastoyaschee vremya shiroko primenyaetsya v matematike i fizike dlya naglyadnogo predstavleniya uravnenij s neskolkimi neizvestnymi, funktsij neskolkih peremennyh i sistem s neskolkimi stepenyami svobody. Geometricheskij yazyk pozvolyaet primenit k resheniyu slozhnyh zadach geometricheskuyu intuitsiyu, slozhivshuyusya v nashem obychnom prostranstve. Odnako, nesmotrya na postoyannoe primenenie idej mnogomernoj geometrii v teoreticheskih i prikladnyh voprosah, v russkoj matematicheskoj literature do sih por otsutstvuet sistematicheskoe izlozhenie geometrii mnogomernyh prostranstv, i s osnovami mnogomernoj geometrii mozhno poznakomitsya tolko po kursam linejnoj algebry. Nastoyaschaya kniga stavit svoej tselyu zapolnenie etogo probela... This book, "Mnogomernye prostranstva", by B.A. Rozenfeld, is a replication of a book originally published before 1966. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible.