To the benefit of both teachers and students, Cameos for Calculus presents fifty short visual and geometric enhancements to the first-year calculus course. These range from mainstream topics, such as the derivative and combinatorial formulas used to compute Riemann sums, to equally accessible material less often encountered in the course, such as the Cauchy-Schwarz inequality and the Euler-Mascheroni constant. The fifty cameos are grouped into five sections: Limits and Differentiation; Integration; Infinite Series; Additional Topics; and an appendix on precalculus topics. Many of these also include exercises with solutions to enhance learning. By gathering various cameos, including many adapted from journal articles and some created for this book, Nelsen presents a collection accessible to teachers of calculus, both for use in the classroom and as supplementary explorations for students.
Roger B. Nelsen received his BA in Mathematics from DePauw University, Indiana, in 1964, and his PhD in Mathematics from Duke University, North Carolina, in 1969. Nelsen was elected to Phi Beta Kappa and Sigma Xi, and taught mathematics and statistics at Lewis and Clark College, Oregon, for forty years before his retirement in 2009. His previous books include Proofs Without Words (1993), An Introduction to Copulas (1999, 2nd edition 2006), Proofs Without Words II, (2000), Math Made Visual (with Claudi Alsina, 2006), When Less Is More (with Claudi Alsina, 2009), Charming Proofs (with Claudi Alsina, 2010), The Calculus Collection (with Caren Diefenderfer, 2010), Icons of Mathematics (with Claudi Alsina, 2011), College Calculus (with Michael Boardman, 2015) and A Mathematical Space Odyssey (with Claudi Alsina, 2015).