A thespian or cinematographer may perhaps outline a cameo as a quick visual appeal of a identified determine, whereas a gemologist or lapidary could outline it as a invaluable or semiprecious stone. This publication provides fifty brief improvements or supplementations (the Cameos) for the first-year calculus direction during which a geometrical determine in brief looks. many of the Cameos illustrate mainstream subject matters resembling the by-product, combinatorial formulation used to compute Riemann sums, or the geometry at the back of many geometric sequence. different Cameos current themes obtainable to scholars on the calculus point yet now not frequently encountered within the direction, reminiscent of the Cauchy-Schwarz inequality, the mathematics mean-geometric suggest inequality, and the Euler-Mascheroni constant.
There are fifty Cameos within the ebook, grouped into 5 sections: half I Limits and Differentiation; half II Integration; half III endless sequence; half IV extra themes, and half V Appendix: a few Precalculus themes. a number of the Cameos contain workouts, so recommendations to the entire workouts follows half V. The booklet concludes with References and an Index.
Many of the Cameos are tailored from articles released in journals of the MAA, akin to The American Mathematical Monthly, Mathematics Magazine, and The university arithmetic Journal. a few come from different mathematical journals, and a few have been created for this ebook. by way of amassing the Cameos right into a ebook we are hoping that they are going to be extra available to lecturers of calculus, either to be used within the school room and as supplementary explorations for students.
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