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＜電子ブック＞
Functional Equations and Inequalities with Applications / by Palaniappan Kannappan
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2009.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XXIV, 816 p. 16 illus : online resource
著者標目	*Kannappan, Palaniappan author SpringerLink (Online service)
件　名	LCSH:Difference equations LCSH:Functional equations LCSH:Functional analysis LCSH:Mathematics FREE:Difference and Functional Equations FREE:Functional Analysis FREE:Applications of Mathematics
一般注記	Basic Equations: Cauchy and Pexider Equations -- Matrix Equations -- Trigonometric Functional Equations -- Quadratic Functional Equations -- Characterization of Inner Product Spaces -- Stability -- Characterization of Polynomials -- Nondifferentiable Functions -- Characterization of Groups, Loops, and Closure Conditions -- Functional Equations from Information Theory -- Abel Equations and Generalizations -- Regularity Conditions—Christensen Measurability -- Difference Equations -- Characterization of Special Functions -- Miscellaneous Equations -- General Inequalities -- Applications Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material. The book is intended as a reference tool for any student, professional (researcher), or mathematician studying in a field where functional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study. Finally, it could be an inspiring entrée into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition HTTP:URL=https://doi.org/10.1007/978-0-387-89492-8

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