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Elementos de Física matemática, vol. 1 : Equações Diferencias Ordinárias, Transformadas e Funções Especiais

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Elementos de Física matemática, vol. 1 : Equações Diferencias Ordinárias, Transformadas e Funções Especiais

4.85 15,533 Ratings
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Editor's Note:
Elementos de Física Matemática Vol. 1 é composto de três partes. Na Parte I, apresenta-se o estudo das Equações Diferenciais Ordinárias(EDO), no qual são desenvolvidas as técnicas para resolver as EDO de Primeira Ordem e de Segunda Ordem, sendo essa Parte finalizado com Método Geral de Solução das EDO, com ênfase para o Método dos Operadores diferenciais e o Método das Séries de Potência ou de Fröbenius. A Parte II trata das Transformadas. Ele inicia com o estudo da Função de Dirac e da Função de Heaviside, seguido então da Transformada de Laplace, das Séries de Fourier e da Transformada de Fourier(TF). Completa-se a Parte com a definição da Convolução e faz-se a extensão tridimensional da TF. As Funções Especiais, objeto principal deste livro, são discutidas na Parte III. Depois de um estudo introdutório sobre as Funções Gama, Beta e Erro, e da ortogonalidade das funções relativamente a uma função peso, os autores apresentam o Teorema de Sturm-Liouville, que é o Teorema Básico para a resolução das EDO de coeficientes variáveis: Legendre, Bessel, hermite, Laguerre e as hipergeométricas de Gauss kummer. Essas equações e suas respectivas soluções representadas pelas funções que recebem o mesmo nome de seus descobridores, são a base da solução das Equações Diferenciais Parciais(EDP), temas do segundo volume sobre Física Matemática que os autores estão preparando. Saliente-se que, para ajudar o leitor no entendimento dos assuntos tratados em cada Parte deste livro, os autores apresentam alguns exercícios, além da solução de alguns exemplos, e no final dos Capítulos são propostos alguns Problemas para ajudar o leitor no seu aprendizado. Além do mais, há um Apêndice Histórico, no qual os autores dão uma ideia de como, historicamente, foram desenvolvidos os assuntos tratados no texto.

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Length 228 Pages
Language Por
Imprint Editora Livraria da Física
Released January 1, 2010
Identifier (ISBN) 18514889
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José Maria Filardo Bassalo
The Mind Behind the Work
José Maria Filardo Bassalo

José Maria Filardo Bassalo writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. José Maria Filardo Bassalo lives with their spouse and a very vocal rescue cat.

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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
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"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
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"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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Kimberly Martin
Kimberly Martin January 23, 2025
"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Jacob Williams
Jacob Williams March 01, 2024
"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
Jennifer Reyes
Jennifer Reyes April 28, 2025
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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