Discrete Mathematical Structures: A Succinct Foundation, 1st Edition (Hardback) book cover

Discrete Mathematical Structures

A Succinct Foundation, 1st Edition

By B. V. Senthil Kumar, Hemen Dutta

CRC Press

274 pages | 74 B/W Illus.

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Hardback: 9780367148690
pub: 2019-07-12
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Description

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.

Features

  • 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.

About the Authors

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.

About the Series

Mathematics and its Applications

Modelling, Engineering, and Social Sciences

This series is intended for mathematicians, engineers, and other scientists in a broad sense, and aims to cover new developments and advances in mathematics, as well as it's applications related to industrial and manufacturing engineering, as well as Human Factors and Ergonomics. A special emphasis is on modelling, engineering, and social sciences. The series will include important classical topics of a pure and applied nature presented in an attractive style that can benefit students, researchers, and practitioners. The series will include research level monographs, edited volumes, papers arising from seminars or lecture series that will make up reference books, that will be edited and cohesive to fit the theme of the series.

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Subject Categories

BISAC Subject Codes/Headings:
COM046000
COMPUTERS / Operating Systems / General
MAT036000
MATHEMATICS / Combinatorics
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC009060
TECHNOLOGY & ENGINEERING / Industrial Engineering
TEC020000
TECHNOLOGY & ENGINEERING / Manufacturing
TEC029000
TECHNOLOGY & ENGINEERING / Operations Research