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The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

Proof theory.

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The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

Proof theory.

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The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.

Mathematical models.

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«Si risponde lavorando». Letters between 1941 and 1992. In 1941, Macrí was a notorious scholar, while Spagnoletti only a debutant poet, but their knowledge of books and magazines brought them to an intense exchange of letters, which would be interrupted in 1956 due to profound disagreements on poetry and on the assessment of Hermeticism. This correspondence, fully transcribed and carefully enriched by Andrea Giusti’s notes, retraces that intellectual relationship in some decisive years of Italian history. With Fascism, war and reconstruction as a background, there is the rise of the ferment underlying cultural collaborations, of Spagnoletti's anthologist activity and of Macrí’s studies on comparative literature and Spanish, which led him to become more sensitive and open towards European culture.

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«Si risponde lavorando». Letters between 1941 and 1992. In 1941, Macrí was a notorious scholar, while Spagnoletti only a debutant poet, but their knowledge of books and magazines brought them to an intense exchange of letters, which would be interrupted in 1956 due to profound disagreements on poetry and on the assessment of Hermeticism. This correspondence, fully transcribed and carefully enriched by Andrea Giusti's notes, retraces that intellectual relationship in some decisive years of Italian history. With Fascism, war and reconstruction as a background, there is the rise of the ferment underlying cultural collaborations, of Spagnoletti's anthologist activity and of Macrí's studies on comparative literature and Spanish, which led him to become more sensitive and open towards European culture.