Further Developments in Calculus

Mariano Giaquinta and Giuseppe Modica
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Mariano Giaquinta: Scuola Normale Superiore
Giuseppe Modica: Università degli Studi di Firenze, Facoltà di Ingegneria

Chapter 5 in Mathematical Analysis, 2003, pp 207-259 from Springer

Abstract: Abstract How do we compute π, e, sin x, log x, etc. within a prescribed margin of error? How large is $$ \int\limits_x^{{ + \infty }} {{e^{{ - {t^2}}}}dt} $$ when x is large? Is there a harmless way to compute limits and discuss local properties of graphs? And what about global properties such as concavity or convexity?

Keywords: Asymptotic Expansion; Convex Function; Minimum Point; Nonnegative Real Number; Taylor Polynomial (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4612-0007-9_5

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