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Álgebras Espaciais - Fundamentos algébricos, reconstrução espectral e aplicações
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ISBN13: 9786502299937
Publisher: Kleber Camara
Pages: 642
Weight: 2.42
Height: 1.29 Width: 7.00 Depth: 10.00
Language: Portuguese
Álgebras Espaciais apresenta uma introdução sistemática a uma classe de álgebras reais comutativas, unitais e, em geral, não associativas, construídas como extensões do plano complexo por direções idempotentes. A obra desenvolve os fundamentos algébricos da teoria, incluindo associadores, potências, exponencial, cálculo funcional, operadores de multiplicação, espectro e resolvente. A partir dessa estrutura, apresenta métodos de reconstrução espectral e funcional, extensões em espaços de sequências e formulações geométricas associadas às álgebras espaciais. Os capítulos finais exploram aplicações a sistemas dinâmicos, mecânica, estabilidade, bifurcação, redução de Lyapunov-Schmidt, sistemas newtonianos espaciais e modelos inspirados em Kaluza-Klein. O texto é voltado a estudantes, pesquisadores e leitores com formação em Matemática, Física Matemática, Análise Funcional, Teoria Espectral e áreas afins.
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