Functional Equations by Titu Andreescu and Iurie Boreico
Content:
1. Chapter 1:Contructive Problems 1
2. Chapter 2:Binary and other base 19
3. Chapter 3: Constructing functions by iterations 21
4. Chapter 4: Approximating with linear functions 24
5. Chapter 5: Extremal element method 26
6. Chapter 6:Multiplicative Cauchy Equation 28
7. Chapter 7:Substitutions 30
8. Chapter 8:Fixed Point 42
9. Chapter 9:Additive Cauchy Equation 44
10. Chapter 10:Polynomial Equation 55
11. Chapter 11:Interation and Recurrence Relation 65
12. Chapter 12:Polynomial Recurrence and Continuity 73
13. Chapter 13:Odd and Even Part of Function 78
14. Chapter 14:Symmetrization and Addition Variable 80
15. Chapter 15:Functional Inequality 82
16. Chapter 16: Miscellaneous 84
17. Chapter 17:Solution To All Problems