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The Formalism of the Calculus of Variations

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Mathematical Analysis

Abstract

One of the most beautiful and widely spread paradigms of science and mathematics in particular is that of minimum principles. It is strongly related to the everyday principle of economy of means and to the research of optimal strategies to realize our goals. Therefore, it is not surprising that since the beginning minimum principles have been used to formulate laws of nature.We have already seen a few examples in Chapter 6 of [GM1] and in this volume.

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Correspondence to Mariano Giaquinta .

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© 2012 Springer Science+Business Media, LLC

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Giaquinta, M., Modica, G. (2012). The Formalism of the Calculus of Variations. In: Mathematical Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8310-8_3

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