دانلود کتاب On Functions and Functional Equations

فهرست مطالب :

Cover......Page 1
Half Title......Page 2
Title Page......Page 4
Copyright Page......Page 5
Preface......Page 8
Table of Contents......Page 6
1.1 Elementary Properties of Functions......Page 10
1.2 Continuous Functions......Page 16
1.3 Derivative of a Function......Page 20
2.1 Introduction......Page 29
2.2 The Cauchy Functional Equation and Related Equations......Page 36
2.3 Other Important Types of Equations......Page 47
2.4 Applications of functional Equations in Several Variables......Page 54
2.5 Discontinuous Solution of the Cauchy Functional Equation......Page 59
2.6 Concluding Remarks......Page 64
3.1 Introduction......Page 67
3.2 Fixed Points......Page 72
3.3 Cycles......Page 81
3.4 Chaos......Page 93
3.5 Stability......Page 103
3.6 Concluding Remarks......Page 110
4.1 Introduction......Page 113
4.2 A Discrete Model of Population Growth for a Single Biological Species......Page 115
4.3 A Discrete Model of Epidemics......Page 123
4.4 A Discrete Population Growth Model for Two Species......Page 130
5.1 Introduction......Page 133
5.2 Characteristic Mappings and Invariants......Page 137
5.3 Linear Functional Equations......Page 143
5.4 The Abel and Schröder Equations......Page 153
5.5 Concluding Remarks......Page 157
References......Page 159
Index......Page 163