On Functions and Functional Equations: 1st Edition (Hardback) book cover

On Functions and Functional Equations

1st Edition

By Smital

CRC Press

164 pages

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Hardback: 9780852744185
pub: 1988-01-01
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Description

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.

Reviews

"… 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

Table of Contents

FUNCTIONS

Elementary properties of functions

Continuous functions

Derivatives of a function

FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

Introduction

The Cauchy functional equation and related equations

Other important types of equations

Applications of functional equations in several variables

Discontinuous solution of the Cauchy functional equation

Concluding remarks

ITERATIONS

Introduction

Fixed points

Cycles

Chaos

Stability

Concluding remarks

APPLICATIONS OF ITERATIONS

Introduction

A discrete model of population growth for a single biological species

A discrete model of epidemics

A discrete population growth model for two species

FUNCTIONAL EQUATIONS IN ONE VARIABLE

Introduction

Characteristic mappings and invariants

Linear functional equations

The Abel and Schröder equations

Concluding remarks

REFERENCES

INDEX

Subject Categories

BISAC Subject Codes/Headings:
MAT037000
MATHEMATICS / Functional Analysis