Mathematical Modeling of the Learning Curve and Its Practical Applications

This  book provides a detailed description of the application of mathematical  learning curve modeling to analyze the state of learning and memory in  humans and animals. The purpose of the book is to enable the readers to  apply the knowledge gained in their own research on learning and memory.  The authors hope that the readers may achieve success in this field of  knowledge, expand and advance mathematical modeling of the learning  curve, and that this book may aid in this process. For this, the authors  have developed their own mathematical model based on the systems theory  and proved its advantage in relation to those previously proposed. The  authors developed MS Windows application “Learning Curve Modeling Tool”  to help the reader modeling the learning curve from raw learning data in  the California Verbal Learning Test, the Rey Auditory Verbal Learning  Test, and other similar memory tests. Moreover, the book describes in  detail the Windows and Android application “Memory Monitoring Tool”,  developed by the authors, which is suited well for mathematical modeling  of the learning curves. The application aims to reveal initial signs of  memory impairment. Besides, the section APPENDIX A describes a Web  application — “Learning curve simulator” — developed by the authors for  helping readers to get started with practically modeling the learning  curve and testing their memory. This application is included in the  book. The book will be useful for undergraduate students, graduate  students, advanced graduate students, and professors, especially for  professors who work on learning in both humans and animals, and those  interested in the memory of marijuana users, alcoholics, and those  suffering from diabetes and multiple sclerosis, as well as other  neurological and psychological diseases and their neurological  complications including those after COVID-19.