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Focusing on the Calculus of Variations, this book employs a geometric approach to explore its applications in mechanics and physics. It offers a structured progression through the subject, featuring a variety of exercises, including solved examples. By highlighting the connections among algebra, analysis, and geometry, it challenges motivated students with advanced material. Historical notes enrich the content, tracing the development of the field over two centuries. This updated English translation stems from a 1987 course at the École polytechnique, catering to graduate students and advanced undergraduates.
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Variational Calculus, Jean-Pierre Bourguignon
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- 2023
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