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This short introductory and motivational chapter explains how differential equations are the natural mathematical language for the description of a wide range of natural phenomena, from the motion of the planets to that of fundamental particles, and how they can be used to model and understand developing processes such as population growth or the spread of an epidemic. In view of the unfortunate fact that most interesting differential equations cannot be solved analytically, the idea of a qualitative or descriptive approach is introduced. This method is the main technique used in this book.

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Introduction

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  • 发表日期：

    2025年

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  • Paul C. Matthews

摘要

This short introductory and motivational chapter explains how differential equations are the natural mathematical language for the description of a wide range of natural phenomena, from the motion of the planets to that of fundamental particles, and how they can be used to model and understand developing processes such as population growth or the spread of an epidemic. In view of the unfortunate fact that most interesting differential equations cannot be solved analytically, the idea of a qualitative or descriptive approach is introduced. This method is the main technique used in this book.