Conflicts Between Generalization, Rigor, and Intuition

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The book delves into the historical transformation of mathematical analysis teaching at the École polytechnique, particularly following the pivotal changes in 1811. It highlights a shift from the analytic to the synthetic method, emphasizing the impact of this transition on educational practices. Drawing from extensive archival research and international academic engagements, the author presents a comprehensive comparative analysis of sources, showcasing the evolution of mathematical thought within a significant educational context.