This book contains fundamental concepts on discrete mathematical structures in an easy to understand style so that the reader can grasp the contents and explanation easily. The concepts of discrete mathematical structures have application to computer science, engineering and information technology including in coding techniques, switching circuits, pointers and linked allocation, error corrections, as well as in data networking, Chemistry, Biology and many other scientific areas. The book is for undergraduate and graduate levels learners and educators associated with various courses and progammes in Mathematics, Computer Science, Engineering and Information Technology. The book should serve as a text and reference guide to many undergraduate and graduate programmes offered by many institutions including colleges and universities. Readers will find solved examples and end of chapter exercises to enhance reader comprehension.
- Offers comprehensive coverage of basic ideas of Logic, Mathematical Induction, Graph Theory, Algebraic Structures and Lattices and Boolean Algebra
- Provides end of chapter solved examples and practice problems
- Delivers materials on valid arguments and rules of inference with illustrations
- Focuses on algebraic structures to enable the reader to work with discrete structures
Table of Contents
1. Logic and Proofs. 2. Combinatorics. 3. Graphs. 4. Algebraic Structures. 5. Lattices and Boolean Algebra.
Dr. Beri Venkatachalapathy Senthil Kumar completed his Ph. D in 2015. His area of interest is Solution and stability of functional equations, Operations Research, Statistics and Discrete Mathematics. He has 18+ years of Teaching and 8 years of Research experience. He has published more than 40 research papers in reputed journals. He has co-authored a book titled “Functional Equations and Inequalities: Solution and Stability results”, published by Word Scientific Publishing Company. He has also published a book entitled “Probability and Queueing Theory”, Published by KKS Publishers. Recently, he has contributed a chapter on “Stabilities and Instabilities of Rational Functional Equations and Euler-Lagrange-Jensen (a, b)-Sextic Functional Equations”, in the book on “Mathematical Analysis and Applications (Selected Topics)” by John Wiley & Sons, U.S.A., 2018.
Dr. Hemen Dutta is Senior Assistant Professor of Mathematics at Gauhati University, India. He did his M.Sc in mathematics, and Ph.D. in mathematics from Gauhati University, India. He received his M.Phil in mathematics from Madurai Kamaraj University, India. His primary research interests are in areas of Mathematical Analysis & Applications. He has to his credit several papers in research journals, and five books. He visited foreign institutions in connection with research collaboration and conference. He has delivered talks at foreign and national institutions. He is a member of some mathematical societies.