On Functions and Functional Equations

ISBN-13: 9780852744185 / Angielski / Twarda / 1988 / 164 str.

J. Smital; Jaroslav Smital

Opis

On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.

Recenzje

"… takes the reader from the familiar ideas of undergraduate mathematics to the newest ideas in its subject without losing either the integrity of the subject or the reader's comprehension … I heartily recommend this book."
-Australian Physicist

Spis treści

FUNCTIONSElementary properties of functionsContinuous functionsDerivatives of a functionFUNCTIONAL EQUATIONS IN SEVERAL VARIABLESIntroductionThe Cauchy functional equation and related equationsOther important types of equationsApplications of functional equations in several variablesDiscontinuous solution of the Cauchy functional equationConcluding remarksITERATIONSIntroductionFixed pointsCyclesChaosStabilityConcluding remarksAPPLICATIONS OF ITERATIONSIntroductionA discrete model of population growth for a single biological speciesA discrete model of epidemicsA discrete population growth model for two speciesFUNCTIONAL EQUATIONS IN ONE VARIABLEIntroductionCharacteristic mappings and invariantsLinear functional equationsThe Abel and Schröder equationsConcluding remarksREFERENCESINDEX

O autorze

J. Smital