Mordeson

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials – the Kummer theory.

This book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs). One of the most important issues the world is facing is sustainability. All members of the United Nations adopted Agenda 2030 and the Sustainable Development Goals. Associated with the SDGs are many serious global problems. These problems include climate change, global poverty, global hunger, human trafficking, homelessness, biodiversity, extinction, and terrorism. The author’s purpose is to develop a textbook concerning the SDGs and how they relate to these problems. A recent issue has emerged. That is Artificial Intelligence. AI has tremendous potential to do both good and harm. The book is designed in such a way that it can be used as an undergraduate textbook on sustainability. Consequently, the mathematics involved is kept at a reasonable level. One of the author’s goals is to prepare the reader to further their study of global issues. In particular, to provide them the background needed to examine the three books in the Springer Series Studies in Systems, Decision and Control, volumes 299, 353, and 391. Exercises are provided in the text as well as an instructor's manual. Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.

This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.