Dual Sets of Envelopes and Characteristic Regions of Quasi-Polynomials - Couverture rigide

Cheng, Sui Sun; Lin, Yi-zhong

Couverture rigide

ISBN 10 : 9814277274 ISBN 13 : 9789814277273

Editeur : World Scientific Publishing Co Pte Ltd, 2009

Synopsis

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.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 9814277274
• ISBN 13: 9789814277273
• Reliure: Relié
• Nombre de pages: 236
• Coordonnées du fabricant: non disponible
• Personne responsable: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne