Introduction to Mathematical Modeling

Author: Chen Lirong
Publisher:
Publish Date: 1999-02-01
Features: Product Description This book is divided into eleven chapters, including an overview of mathematical modeling, planning models, network graph theory models, combinatorial optimization models, difference equation models, differential equation models, variational method modeling, interpolation and data fitting modeling, stochastic models, decision-making and game theory models, and computer simulation. Through numerous examples of mathematical modeling, the book illustrates the ideas and methods of mathematical modeling, aiming to cultivate readers' insight, imagination, as well as their ability to analyze and solve problems. The book is rich in content, lively in examples, easy to understand, and convenient for self-study. Each chapter ends with appropriate exercises for readers to practice. This book can be used as a textbook for undergraduate and graduate students in engineering colleges, as well as a reference for postgraduate students, engineering technicians, and administrative officers.
Table of Contents
Chapter 1 Mathematical Modeling Overview
Section 1 Mathematical Models
Section 2 Mathematical Modeling
Section 3 Why Are Rockets Used in Three Stages for Launching Satellites?
Section 4 Sustainable and Efficient Production in the Fishing Industry
Section 5 Autosomal Genetic Model
Section 6 Information Measurement of Discrete Sources
Exercises
Chapter 2 Planning Models
Section 1 Linear Programming Models
Section 2 Integer Programming Models
Section 3 Goal Programming Models
Section 4 Nonlinear Programming Models
Section 5 Dynamic Programming Models
Exercises
Chapter 3 Network Graph Theory Models
Section 1 Basic Concepts of Network Graph Theory and Several Basic Models
Section 2 Investment Priorities...