Singularity and Dynamics on Discontinuous Vector Fields

"Singularity and Dynamics on Discontinuous Vector Fields" by Albert C. J. Luo is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Albert C. J. Luo

Who this is for:

• Teachers and classroom instructors
• Students building subject mastery
• Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control. In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The new ideas and concepts will stimulate ones' thought and creativities in corresponding subjects. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics. · Challenging continuous Newton's dynamics · Original theory and seeds of new researches in the field · Brand-new concepts and ideas · Wide spectrum of applications in science and engineering · Systematic presentation and clear illustrations · Very readable · A unique book in the field