This text serves as a tour guide to little known corners of the mathematical landscape, not far from the main byways of algebra, geometry, and calculus. It is for the seasoned mathematical traveller who has visited these subjects many times and, familiar with the main attractions, is ready to venture abroad off the beaten track. For the old hand and new devotee alike, this book will surprise, intrigue, and delight readers with unexpected aspects of old and familiar subjects. In the first part of the book all of the topics are related to polynomials: properties and applications of Horner form, reverse and palindromic polynomials and identities linking roots and coefficients, among others. Topics in the second part are all connected in some way with maxima and minima. In the final part calculus is the focus.
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 253 mm
Breite: 177 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-88385-341-2 (9780883853412)
Schweitzer Klassifikation
Dan Kalman has been writing about and teaching mathematics for 30 years. A graduate of Harvey Mudd College (BS, 1974) and the University of Wisconsin (PhD, 1980), he is a Professor of Mathematics at American University, Washington, DC. Kalman's mathematical writing has been recognized with multiple MAA awards: Allendoerfer Awards in 1998 and 2002, Polya Awards in 1994 and 2002, and an Evans Award in 1997. He is the author of one previous book, Elementary Mathematical Models, published by the MAA in 1997.
Preface; Part I. The Province of Polynomia: 1. Horner's foam; 2. Polynomial potpourri; 3. Polynomial roots and coefficients; 4. Solving polynomial equations; Part II. Maxministan: 5. Leveling with Lagrange; 6. A maxmini miscellany; 7. Envelopes and the ladder problem; 8. Deflections on an ellipse; Part III. The Calculusian Republic: 9. A generalized logarithm for exponential-linear equations; 10. Envelopes and asymptotes; 11. Derivatives without limits; 12. Two calculusian miracles.
