Mathematical Modeling (3rd Edition)

Author: Giordano et al. / Ye Qixiao et al.
Publisher:
Publish Date: 2005-01-01
Features: The course of mathematical modeling bridges the gap between mathematics and its applications in various fields. This book introduces the principles of the entire modeling process. Through studying this book, students will have the opportunity to gain hands-on experience in designing creative models and empirical models, conducting model analysis, and engaging in model research, thereby enhancing their problem-solving skills.
■ Demonstrates the role of discrete dynamical systems and discrete optimization techniques in advancing modern applied mathematics
■ Emphasizes the development of students' creativity and the artistic aspects of model construction through model design, with extensive discussions on empirical modeling and simulation modeling
■ Integrates individual and group projects into the design of creative and empirical models, model analysis, and model research, and includes numerous examples and exercises
■ The accompanying CD-ROM contains relevant software, additional modeling scenarios and practical problems, as well as past problems from the Mathematical Contest in Modeling (MCM) in the United States. The above content can be downloaded from the Wharton Press website.
The course of mathematical modeling bridges the gap between mathematics and its applications in various fields. This book introduces the principles of the modeling process, providing students with hands-on experience in the following modeling activities: designing creative and empirical models, model analysis, and model research, thereby enhancing their problem-solving skills.
Key Features of the Book:
· Demonstrates how discrete dynamical systems, discrete optimization, and simulation techniques contribute to the development of modern applied mathematics
· Emphasizes the enhancement of students' creativity and the artistic aspects of model construction through model design, including empirical modeling and simulation modeling
· Combines mathematical modeling methods with more creative aspects such as diverse modeling and confidence interval establishment
· Integrates individual and group projects into the design of creative and empirical models, model analysis, and model research, along with abundant examples and exercises
· The accompanying CD-ROM includes software, additional modeling scenarios and projects, as well as past problems from mathematical modeling competitions
This book aims to guide students in grasping the basic concepts and methods of mathematical modeling, divided into two main parts: discrete modeling and continuous modeling. The mathematical knowledge used is presented in an accessible manner, and the applications covered are quite broad. It is suitable as a textbook and reference for mathematical modeling in related disciplines at universities and colleges, as well as a guide for students participating in domestic and international mathematical modeling competitions.