Mathematical Analysis and Analytical Modeling

✍ Scribed by Ivan Stanimirović

• Publisher: Arcler Press
• Year: 2019
• Tongue: English
• Leaves: 176
• Category: Library

✦ Synopsis

Mathematical Analysis and Analytical Modeling provides the readers with the preliminary knowledge on mathematics and explains them the meaning of normal families. It talks about the iteration functions, fixed points and other kinds of sets in the mathematics. Also discusses in the book is the Baker theorem for the complexity invariant components in the set of Fatou, mathematical analysis of significant transformations, theoretical framework for it, application of analytical functions in educational research, and the methodological framework. The book also gives some concluding remarks on the subject matter.

✦ Table of Contents

Cover
Title Page
Copyright
ABOUT THE AUTHOR
TABLE OF CONTENTS
List of Figures
List of Tables
Preface
Chapter 1 Preliminaries
1.1. Metric Spaces
1.2. Complex Variable
1.3. Complex Functions
1.4. Singularities Classes And Classes Of Functions
1.5. Curves, Contours, And Simple-Minded Domains Related
Chapter 2 Normal Families
2.1. Sequence Of Functions
2.2. Compactness And Convergence In The Space Of Analytical Functions
2.3. Arsela-Ascoli Theorem And Montel
Chapter 3 Iteration Functions, Fixed Points And Fatou And Julia Sets
3.1. Iteration Of Functions And Points
3.2. Fatou And Julia Set
3.3. Fatou Assembly Components
3.4. Classification Of Periodic Components For Functions
Chapter 4 Baker Theorem For Completely Invariant Components In The Set Of Fatou
4.1. Definitions And Results
4.2. Demonstration Of Baker’s Theorem
Chapter 5 Mathematical Analysis Of Significant Transformations Of The Transverse Projects
Chapter 6 Theoretical Framework
6.1. Theoretical Background
6.2. Conceptual Framework
6.3. Regulatory Framework
6.4. Developed Method
6.5. Recommendations And Limitations
Chapter 7 Applying Analytical Functions In Educational Research
7.1. Approach And Problem Formulation
7.2. Background To The Problem Under Study
7.3. Vie Model Overview
7.4. Variability Model Of Educational Research Or Model Vie
7.5. The Extra-Framework Component
7.6. Encompassing Theoretical Empirical Result
7.7. Patterns Methodology
7.8. Contrasting Operations And Validation
7.9. Balancing The Components Which Are Logical-Structural
7.10. Base Epistemological Predominant
Chapter 8 Methodological Framework
8.1. Level Or Stage Of Research
8.2. Design Chosen For Data Collection
8.3. Study Units
8.4. Techniques And Instruments For Data Collection
8.5. Technical Data Analysis
8.6. Technical Reliability Of Life And Employee Instrument
8.7. Process
Chapter 9 Conclusions And Recommendations
9.1. Recommendations For The Study
Bibliography
Index
Back Cover