Dual Sets of Envelopes and Characteristic Regions of Quasi-polynomials 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Cheng, Sui Sun/ Lin, Yi-zhong 作者

译者

2009-5 出版日期

236 页数

$ 92.00 价格

丛书系列

9789814277273 图书编码

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Existence and nonexistence of roots of functions involving one or more parameters has been the subject of numerous investigations. For a wide class of functions called quasi-polynomials, the above problems can be transformed into the existence and nonexistence of tangents of the envelope curves associated with the functions under investigation.

In this book, we present a formal theory of the Cheng-Lin envelope method, which is completely new, yet simple and precise. This method is both simple since only basic Calculus concepts are needed for understanding -- and precise, since necessary and sufficient conditions can be obtained for functions such as polynomials containing more than four parameters.

Since the underlying principles are relatively simple, this book is useful to college students who want to see immediate applications of what they learn in Calculus; to graduate students who want to do research in functional equations; and to researchers who want references on roots of quasi-polynomials encountered in the theory of difference and differential equations.

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