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### Introduction to Functional Equations by Costas Efthimiou

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Functional Equations eBooks . We hope mathematician or person who’s interested in mathematics like these books.

INTRODUCTION TO FUNCTIONAL EQUATIONS written by COSTAS EFTHIMIOU Department of Physics, UNIVERSITY OF CENTRAL FLORIDA This is an other great mathematics book cover the following topics.

• Functions
Sets, Relations, Functions, Limits & Continuity, Differentiation, Solved Problems

• Functional Relations Primer
The Notion of Functional Relations, Beginning Problems

• Equations for Arithmetic Functions
The Notion of Difference Equations, Multiplicative Functions, Linear Difference Equations, Solved Problems

• Equations Reducing to Algebraic Systems
Solved Problems, Group Theory in Functional Equations

• Cauchy’s Equations
First Cauchy Equation, Second Cauchy Equation, Third Cauchy Equation, Fourth Cauchy Equation, Solved Problems

• Cauchy’s NQR-Method
The NQR-method, Solved Problems

• Equations for Trigonometric Functions
Characterization of Sine and Cosine, D’Alembert-Poisson I Equation, D’Alembert-Poisson II Equation, Solved Problems

• Pexider, Vincze & Wilson Equations
First Pexider Equation, Second Pexider Equation, Third Pexider Equation, Fourth Pexider Equation, Vincze Functional Equations, Wilson Functional Equations, Solved Problems

• Vector and Matrix Variables
Cauchy & Pexider Type Equations, Solved Problems

• Systems of Equations
Solved Problems

• Less Than Continuity
Imposing Weaker Conditions, Non-Continuous Solutions, Solved Problems

• More Than Continuity
Differentiable Functions, Analytic Functions, Stronger Conditions as a Tool

• Functional Equations for Polynomials
Fundamentals, Symmetric Polynomials, More on the Roots of Polynomials, Solved Problems

• Conditional Functional Equations
The Notion of Conditional Equations, An Example

• Functional Inequalities
Useful Concepts and Facts Solved Problems

• Iterations
The Need for New Methods, Iterates, Orbits, Fixed Points, and Cycles, Fixed Points: Discussion, Cycles: Discussion, From Iterations to Difference Equations, Solved Problems, A Taste of Chaos

• Solving by Invariants & Linearization
Constructing Solutions, Linear Equations, The Abel and Schr ¨oder Equations, Linearization, Solved Problems

• More on Fixed Points
Solved Problems

• Miscellaneous Problems
Integral Functional Equations, Problems Solved by Functional Relations, Assortment of Problems

• Unsolved Problems
Functions, Problems That Can Be Solved Using Functions, Arithmetic Functions, Functional Equations With Parameters, Functional Equations with No Parameters, Fixed Points and Cycles, Existence of Solutions, Systems of Functional Equations, Conditional Functional Equations, Polynomials, Functional Inequalities, Functional Equations Containing Derivatives, Functional Relations Containing Integrals

• ##### Math Books FUNCTIONAL EQUATIONS

• Free
• English
• PDF 108
• Page 18

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