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Methoden der mathematischen Physik (Methods of Mathematical Physics) is a 1924 book, in two volumes totalling around 1000 pages, published under the names of Richard Courant and David Hilbert. It was a comprehensive treatment of the "methods of mathematical physics" of the time. The second volume is devoted to the theory of partial differential equations. It contains presages of the finite element method, on which Courant would work subsequently, and which would eventually become basic to numerical analysis.

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  • Methoden der mathematischen Physik (en)
  • Methoden der mathematischen Physik (pt)
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  • Methoden der mathematischen Physik (Methods of Mathematical Physics) is a 1924 book, in two volumes totalling around 1000 pages, published under the names of Richard Courant and David Hilbert. It was a comprehensive treatment of the "methods of mathematical physics" of the time. The second volume is devoted to the theory of partial differential equations. It contains presages of the finite element method, on which Courant would work subsequently, and which would eventually become basic to numerical analysis. (en)
  • Methoden der mathematischen Physik (em português Métodos de Física Matemática) é um livro de 1924, em dois volumes, totalizando cerca de 1000 páginas, publicado sob os nomes de David Hilbert e Richard Courant. Foi um tratamento global dos métodos de física matemática existentes na época. O segundo volume é dedicado à teoria das equações diferenciais parciais. Ele contém presságios do método de elementos finitos, no qual Courant iria trabalhar posteriormente, e que acabaria por se tornar base para análise numérica. (pt)
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  • Methoden der mathematischen Physik (Methods of Mathematical Physics) is a 1924 book, in two volumes totalling around 1000 pages, published under the names of Richard Courant and David Hilbert. It was a comprehensive treatment of the "methods of mathematical physics" of the time. The second volume is devoted to the theory of partial differential equations. It contains presages of the finite element method, on which Courant would work subsequently, and which would eventually become basic to numerical analysis. The material of the book was worked up from the content of Hilbert's lectures. While Courant played the major editorial role, many at the University of Göttingen were involved in the writing-up, and in that sense it was a collective production. On its appearance in 1924 it apparently had little direct connection to the quantum theory questions at the centre of the theoretical physics of the time. That changed within two years, since the formulation of Schrödinger's equation made the Hilbert-Courant techniques of immediate relevance to the new wave mechanics. There was a second edition (1931/7), wartime edition in the USA (1943), and a third German edition (1968). The English version Methods of Mathematical Physics (1953) was revised by Courant, and the second volume had extensive work done on it by the faculty of the Courant Institute. The books quickly gained the reputation as classics, and are among most highly referenced books in advanced mathematical physics courses. (en)
  • Methoden der mathematischen Physik (em português Métodos de Física Matemática) é um livro de 1924, em dois volumes, totalizando cerca de 1000 páginas, publicado sob os nomes de David Hilbert e Richard Courant. Foi um tratamento global dos métodos de física matemática existentes na época. O segundo volume é dedicado à teoria das equações diferenciais parciais. Ele contém presságios do método de elementos finitos, no qual Courant iria trabalhar posteriormente, e que acabaria por se tornar base para análise numérica. O material do livro foi elaborado a partir do conteúdo das palestras de Hilbert. Enquanto Courant desempenhou o papel editorial principal, muitos na Universidade de Göttingen foram envolvidos na escrita, e, nesse sentido, foi uma produção coletiva. Em sua aparição em 1924, aparentemente, tinha pouca ligação direta com as perguntas da teoria quântica, centro da física teórica do época. Isso mudou no prazo de dois anos, com a formulação da equação de Schrödinger. As técnicas de Hilbert-Courant foram de relevância imediata à nova mecânica ondulatória. Houve uma segunda edição (1931/7), nos Estados Unidos (1943), e uma terceira edição alemã (1968). A versão em inglês de Métodos de Física Matemática (1953) foi revista por Courant, e o segundo volume teve extenso trabalho realizado pela faculdade do . Os livros rapidamente ganharam a reputação de clássicos. (pt)
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