Variational Calculus

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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, enriched with a diverse array of exercises, including solved problems. The text highlights the interconnectedness of various mathematical disciplines and presents advanced topics for enthusiastic learners. Additionally, it features historical insights into the evolution of the field and updates notes from a course originally taught at the École polytechnique in 1987, making it suitable for graduate and advanced undergraduate students.