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The notion of limit as instantaneous rate of Change. Theorems on limits. Limits and asymptotes. Chains of intervals and Cauchy sequences. Continuous functions and Intermediate Value Theorem. Continuity of implicit functions. Demand and Supply Functions. Newton’s Method of tangents, the graph of Descartes’ folium. Euler’s number e and Financial Mathematics. Remarkable limits.

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Limits and Continuity: The є - δ Method of Weierstrass

  • 章节

  • 发表日期：

    2025年

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  • Sergey Khrushchev

摘要

The notion of limit as instantaneous rate of Change. Theorems on limits. Limits and asymptotes. Chains of intervals and Cauchy sequences. Continuous functions and Intermediate Value Theorem. Continuity of implicit functions. Demand and Supply Functions. Newton’s Method of tangents, the graph of Descartes’ folium. Euler’s number e and Financial Mathematics. Remarkable limits.