Advanced Mathematical Modeling with Technology

Mathematical modeling is a skill and an art that requires practice to maintain and enhance. This book is best used for individuals or groups who have already taken an introductory course, and it will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision-making.

Format: Hardback
Length: 557 pages
Publication date: 20 May 2021
Publisher: Taylor & Francis Ltd

Mathematical modeling is a multifaceted discipline that requires both skill and artistry to master. It is an essential practice to sustain and enhance one's proficiency in this field. While the topics covered in this book align with the standard curriculum of most mathematical modeling courses, it is particularly valuable for individuals or groups who have already undergone an introductory course. This book offers insightful perspectives and practical techniques that will appeal to instructors and students engaged in discrete modeling or decision-making-oriented courses.

Mathematical modeling encompasses a wide range of concepts and techniques, making it a complex and challenging field. It requires a solid foundation in mathematics, including algebra, calculus, and statistics, as well as an understanding of specific domains or applications. By practicing mathematical modeling, individuals can develop critical thinking skills, problem-solving abilities, and a deep understanding of the underlying principles that govern various phenomena.

One of the key advantages of mathematical modeling is its ability to simulate and analyze real-world systems. By building mathematical models that represent the behavior of these systems, researchers can gain insights into their dynamics, behavior, and interactions. This information can then be used to make informed decisions, develop new technologies, and improve existing processes.

Mathematical modeling is not limited to a specific domain or application. It can be applied to a wide range of fields, including engineering, biology, economics, and social sciences. For example, in engineering, mathematical models are used to design and optimize complex systems, such as aircraft, automobiles, and power plants. In biology, mathematical models are used to study the behavior of living organisms, such as cells, populations, and ecosystems. In economics, mathematical models are used to analyze market trends, predict economic outcomes, and develop economic policies.

In addition to its practical applications, mathematical modeling is also a valuable tool for teaching and learning. It allows students to visualize complex concepts and processes, making them easier to understand and retain. By engaging in hands-on activities, such as building and testing mathematical models, students can develop their analytical and problem-solving skills and gain a deeper appreciation for the beauty and complexity of mathematics.

However, mastering mathematical modeling requires a significant investment of time and effort. It requires a strong understanding of the underlying principles, as well as the ability to apply them in practical situations. This requires a willingness to practice and experiment, as well as a willingness to seek feedback and guidance from others.

In conclusion, mathematical modeling is a skill and an art that requires practice to master. It is a versatile discipline that has applications in a wide range of fields, from engineering to biology to economics. By developing critical thinking skills, problem-solving abilities, and a deep understanding of the underlying principles, individuals can gain valuable insights and make informed decisions. Mathematical modeling is also a valuable tool for teaching and learning, allowing students to visualize complex concepts and processes and develop their analytical and problem-solving skills. However, mastering this discipline requires a significant investment of time and effort, and a willingness to seek feedback and guidance from others.

Weight: 986g
Dimension: 162 x 241 x 39 (mm)
ISBN-13: 9780367494421