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 Representation Theory. Representation of Universal Algebra
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Representation Theory. Representation of Universal Algebra

автор Aleks K. издательство Книга по Требованию Энциклопедия начинающего хакера
Cтраниц 96        мягкая обложка       
Аннотация:The representation of universal algebra has different applications in mathematics and physics. Passive representation in basis manifold is underlying of concept of geometric object and the theory of invariants of the representation of the universal algebra. In the book I considered the concept of tower of representations of the tuple of universal algebras as the set of coordinated representations of universal algebras. Morphism of the representation is the mapping that conserves the structure of the representation. Twin representations of this group in basis manifold of the representation are called active and passive representations. We say that there is a representation of the universal algebra B in the universal algebra A if the set of endomorphisms of the universal algebra A has the structure of universal algebra B. Therefore, the role of representation of the universal algebra is similar to the role of symmetry in geometry and physics. The set of automorphisms of the representation of the universal algebra forms the group. Exploring of morphisms of the representation leads to the concepts of generating set and basis of representation.
Автор: Aleks K.
Издательство: Книга по Требованию
Год:2011
Цена:
1898 руб
Нет в наличии
Поиск: Representation Theory. Representation of Universal Algebra
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
Ортомолекулярная медицина Orthomol Устрание причин заболеваний. Ортомоль это новый метод для лечения и профилактики болезней. Orthomol - ортомолекулярная медицина.
О развитии математики в XIX столетии. Гамильтон

О конце жизненного пути Гамильтона в ней нет никаких подробностей. Как мне рассказывали в Дублине, в свои последние годы он вел себя странно, чтобы не сказать безумно; видимо, его слишком рано развившийся ум быстро перенапрягся и исчерпал себя раньше, чем об этом можно было бы подумать судя по его возрасту. Творчество Гамильтона обладает характерной чертой - всюду в его работах рассыпаны новые, остроумные наметки, которые затем теряются среди подробностей, так и не приводя ни к какому полному, завершенному результату. Как и все прочее, математический творческий процесс начался у Гамильтона в очень раннем возрасте. Примерно с 1824 по 1825 г. он занимался проблемами геометрической оптики и аналитической механики. Его достижения в этих областях мы рассмотрим несколько позже. Начиная с 1833 г. он все более углубляется в рассмотрение сущности алгебраической алгорифмики. Его идеи в этом направлении были впервые изложены в работе " heory of co juga e fu c io s or Algebraic Couples; wi h a prelimi ary a d eleme ary essay o Algebra as he Scie ce of pure ime" ("Теория сопряженных функций или алгебраических пар; с предварительным и элементарным рассуждением об алгебре как науке о чистом времени"), опубликованной в 17-м томе " ra sac io s of Royal Irish Academy" за 1833 и 1836 гг. (см. стр 293 и далее). Как это и следует из названия, понятие числа рассматривается здесь как нечто такое, для чего существенным является время, а не пространство, потому что сначала речь идет об одной лишь идее следования - мысль эта идет от Канта, но Гамильтон прослеживает ее несколько дальше.
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