## Table of Contents

**Table of Contents**

Dedication

Preface

Chapter 1. Introduction

Chapter 2. DEs and Mechanics

Chapter 3. What is Mathematical Modelling?

Chapter 4. Critical Thinking as a Big Step toward Mathematical Modeling

Chapter 5. Brief Review of Scalar ODEs

Chapter 6. Eigenvalues, Eigenvectors and Linear Vector ODEs

Chapter 7. ODEs in MATLAB

Chapter 8. Modeling with First Order Differential Equations 133

Chapter 9. Taylor Series Method

Chapter 10. Perturbation Methods for DEs

Chapter 11. Basic Concepts

Chapter 12. Brief Overview of Nonlinear Waves and Perturbation Method

Chapter 13. Silent Wave Characteristics

Chapter 14. Description

Chapter 15. Fundamentals of Irrotational Fluid Flows

Chapter 16. Surface Gravity Waves

Chapter 17. Derivation of the KdV Equation

Chapter 18. Introduction

Chapter 19. Governing Equations

Chapter. 20 Biomath Modeling

Chapter 21. Modeling of Planetary Atmospheric Waves

Chapter 22. Modeling of Ocean and Atmospheric Whirlpools

Chapter 23. Ocean Mixing Due to Flow over Bottom Topography

Chapter 24. Resonant Triad Model: Evolution of the Oceanic Energy Spectrum

References

Index