Uncommon mathematical excursions : Polynomia and related realms
发布日期:2010-06-15 浏览次
【内容简介】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.
【目次】I: The Province of Polynomia
1: Horner's Form
2: Polynomial Potpourri
3: Polynomial Roots and Coefficients
4: Solving Polynomial Equations
II: Maxministan
5: Leveling with Lagrange: Constrained Maxima and Minima with Lagrangian Functions
6: A Maxmini Miscellany
7: Envelopes and the Ladder Problem
8: Deflection on an Ellipse
III: The Calculusian Republic
9: A Generalized Logarithm for Exponential-Linear Equations
10: Envelopes and Asymptotes
11: Derivatives Without Limits
12: Two Calculusian Miracles
【关闭】
新书报道