The title of this book is quite appropriate. The authors present the theory of near rings, and conclude with two chapters on the application to fuzzy ideals and graph theoretical investigations in near rings. The occurrence of near rings that are not rings is well motivated as the set of all mappings from an additive group into itself.

The book is quite self-contained, in that the introduction describes the basic concepts covered in the rest of the book, including some notions on fuzzy sets and fuzzy algebraic groups. The content is organized in a standard way, with numbering of definitions, lemmas, examples, and notes. Most of the definitions and results are accompanied by references to the literature, mainly to previous results produced by the authors or to other books written by some of the authors. The vast majority of the results, even preliminary ones, are accompanied by proofs, making the book quite interesting for readers who want to get acquainted with the theory of near rings.

Since most of the book is really about near rings, the target audience includes readers that are interested in near rings and in ring properties that transfer to near rings and their connection to geometry. The book does not cover computational aspects of near rings, and the coverage of fuzzy ideals does not directly relate to any computational application. The final chapter on graph theory is, in fact, an introduction to the application of graph theory to the study of near rings, and not the other way around.