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Discrete Mathematics

June-2025 | ISBN: 978-93-6786-886-7

by: Dr. Kiran Singh Bais (Sisodiya) | Mr. J. Patrick Suresh Castro | Mrs. Gauravi Aditya Lotankar | Dr. Rupal C. Shroff

Overview of the Book

This book on Discrete Mathematics is a comprehensive and meticulously crafted resource designed to introduce readers to the fundamental principles and practical applications of discrete mathematical structures. It serves as an essential guide for undergraduate and postgraduate students in computer science, mathematics, engineering, and related disciplines, offering clear and concise explanations of key topics such as logic, set theory, functions, relations, algorithms, combinatorics, recurrence relations, graph theory, trees, Boolean algebra, and formal languages. With a strong emphasis on conceptual clarity and problem-solving skills, the book provides numerous worked examples, real-life applications, and a wide range of carefully structured exercises to reinforce learning and encourage analytical thinking. Each chapter builds progressively from foundational concepts to advanced topics, supporting both self-paced learners and classroom instruction. The content is aligned with contemporary academic curricula and integrates mathematical rigor with pedagogical simplicity, making complex theories approachable without compromising depth. The book also highlights the role of Discrete Mathematics in digital systems, programming logic, data structures, database theory, cryptography, and network modeling, bridging the gap between theory and real-world technological applications. It includes algorithmic reasoning and step-by-step proofs to develop precision in mathematical communication and foster logical reasoning skills. Educators will find the material adaptable for lecture planning, while learners will benefit from the intuitive presentation style and practical insights. As a digitally published resource, it is optimized for online reading and accessibility, with interactive elements, visual illustrations, and structured formatting that enhance engagement. Whether you are a student seeking academic mastery, an educator designing coursework, or a professional looking to revisit the mathematical underpinnings of modern computing, this book offers an indispensable foundation in Discrete Mathematics. It is not just a textbook—it is a companion for academic exploration, critical reasoning, and intellectual growth in a world increasingly shaped by algorithmic thinking and digital logic. The online edition ensures global availability, eco-friendly distribution, and seamless updates to keep pace with evolving educational standards and technological advancements. As mathematics continues to be the language of science and innovation, this publication aspires to empower learners with the tools and mindset needed to succeed in the data-driven and interconnected world of the future.

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About the Authors'

Dr. Kiran Singh Bais (Sisodiya)

Dr. Kiran Singh Bais (Sisodiya) (B.Sc.,M.Sc. (Applied Maths,M.Phil (Pure Maths),Ph.D (Number Theory), working as an Associate professor at Department of Mathematics, Chandigarh University. Dr.Kiran has 22 yrs of teaching experience. Research area of Dr.Kiran is Number Theory (Fibonacci Sequences), Application of Fibonacci numbers in various field, currently she is working on Golden ratio and Shri Yantra. She published more than 25 research papers, Many book chapter, Patent and Copyright and Presented many research articles in National and international conferences. Dr.Kiran guided many under graduate and post graduate students.

Mr. J. Patrick Suresh Castro

Mr. J. Patrick Suresh Castro is an Assistant Professor of Mathematics at PANIMALAR ENGINEERING COLLEGE . He holds a B.Sc and M.Sc in St.Joseph College Trichy. M.Phil in Mathematics in PRIST UNIVERSITY, THANJAVUR, With a strong academic foundation and a deep passion for teaching, he is committed to making mathematics engaging and understandable for all learners. His interests include mathematical research, curriculum innovation, and mentoring aspiring scholars. He is recognized for his dedication to academic excellence and lifelong learning. 

Mrs. Gauravi Aditya Lotankar

Mrs. Gauravi Aditya Lotankar, Assistant Professor at Department of Mathematics & Statistics, at KSD’s Model College (Empowered Autonomous). Mrs.Gauravi has presented research papers in international and national conferences. Mrs.Gauravi has more than 8 years of Teaching + Research experience. Mrs.Gauravi has published research articles in reputed journals. Mrs.Gauravi has received a university merit scholarship for university ranking in B.Sc.  

Dr. Rupal C. Shroff

Dr. Rupal C. Shroff, Assistant Professor at Department of Mathematics & Statistics, Dr. Vishwanath Karad MIT World Peace University (MIT-WPU). Dr. Rupal has completed her Ph. D. in November 2013 from Dr. B. A. M. University, Aurangabad, under the guidance of Dr. S. K. Nimbhorkar. Dr. Rupal has more than 18 years of Teaching + Research experience. Dr. Rupal has published 9 research articles in reputed SCOPUS / SCI indexed journals out of which 3 are single authored. Dr. Rupal has received university merit scholarship for university ranking in M.Sc. Her primary areas of research includes Algebra, Lattice theory, Graph theory and Discrete Mathematics. Dr. Rupal is a recognized Research Supervisor of MIT-WPU and currently she is supervising two Research Scholars for their doctoral research.  

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