"'Nearrings, Fuzzy Ideals and Graph Theory' is a very fascinating course to learn and show. Nearring Theory has enormous applications in different subject areas like digital computing, sequential mechanics, automata theory, graph theory and combinatorics. The first step towards nearrings was an axiomatic research done by Dickson in 1905. He exhibited that there do exist "fields with only one distributive law". Nearrings arise in a natural way, take...

"Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces...

"In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and...