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Curves and Tangents

In: MVT: A Most Valuable Theorem

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  • Craig Smoryński

Abstract

The central concepts underlying the Mean Value Theorem are those of curves and tangents. The evolution of these concepts from the Greeks through the end of the 19th century is discussed, along with the crystallisation of the formal definitions of limit, continuity, and derivative. The chapter culminates with geometrically motivated derivations of the Mean Value Theorem itself.

Suggested Citation

  • Craig Smoryński, 2017. "Curves and Tangents," Springer Books, in: MVT: A Most Valuable Theorem, chapter 0, pages 7-149, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-52956-1_2
    DOI: 10.1007/978-3-319-52956-1_2
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