A Treatise on Discrete Mathematics. Graph theory techniques and combinatorics

      Аннотация: We live in a "continuous" universe yet 'discrete mathematics' still proves appealing and useful in revealing universal truths. We have presented non-continuous mathematics whose development has been very key to digitization and computational power. The book provides a strong motivation for the subject and sets a background in set theory and mathematical proofs. Both simple and compound propositions have been given a think. We have presented relations and functions as crucial objects in the subject. The reader will also get a taste of permutations and combinations and their resounding connection to binomial theorem. We have included sequences and series and their applications. Network theory has been introduced in the book with emphasis on various types of graphs and network analysis. Towards the tail end, we present applications of graphs and discrete mathematics at large in real life context. The book is accessible to anyone with an interest in learning discrete mathematics.

Ключевые слова: discrete, Continuous, Statements, series, sequences, COMBINATIONS, Permutations, Network, graph, Logic