Discrete Mathematics is a comprehensive and student-friendly text that explores the fundamental concepts and techniques underlying modern computer science, mathematics, and engineering. The book introduces readers to the essential building blocks of discrete structures, such as logic, sets, relations, functions, combinatorics, and graph theory, while also covering advanced topics like recurrence relations, Boolean algebra, and automata theory. Designed with clarity and accessibility in mind, the book blends theory with practical examples, solved problems, and exercises to strengthen understanding and problem-solving skills. Each chapter emphasizes both the mathematical foundations and their wide-ranging applications in computing, data analysis, cryptography, algorithms, and network design. This book is ideal for undergraduate students of computer science, engineering, and mathematics, as well as educators and professionals seeking a reliable reference. With its structured approach and balanced focus on concepts and applications, Discrete Mathematics provides readers with the tools and insights necessary to grasp this vital subject and apply it effectively in academic and professional contexts.
About the Authors’
Dr. V. Nirmala, M.Sc., MBA (IB), M.Phil., D.O.A., D.C.P., Ph.D, has a distinguished academic background and 16 years of teaching experience in Mathematics. She is currently an Assistant Professor in the Department of Science and Humanities (Mathematics), Faculty of Engineering, at Karpagam Academy of Higher Education, Coimbatore. She is guiding four PhD scholars in the field of Fuzzy Mathematics. She has published three books, secured three IPR patents, and three UK patents and has 21 publications in Scopus and Web of Science indexed journals. Throughout her career, she has received the Best Result Award and the Best women Researcher Award. Her contributions to Discrete Mathematics books have inspired students, alleviating their fears and encouraging a positive attitude towards the subject.
Dr.M. Pandikani M.Sc., M.Phil, Ph.D., is currently working as a Assistant professor in Department of Mathematics, Sri Sairam College of Engineering, Bangalore. She has 15 years of teaching experience in teaching Mathematics. She published 5 papers and presented 6 papers in international conference. Also, she guided for M.Sc., students projects. Hope to empower readers with the knowledge and confidence to conquer the challenges of discrete mathematics with ease.
Mrs.S.SharmilaBanu, Working as a Assistant professor in Karpagam Institute of Technology. She did B.SC (Mathematics ) in Saraswathi thiyagaraja college, Pollachi in the year 2008. She has completed M.Sc Mathematics In N.G.M College , Pollachi in the year 2010 and M.Phil degree (Topology) in N.G.M college, pollachi. Also Pursing Ph.D in Karpagam Academy of Higher Education. She have 12 Years teaching experience in Engineering college.
Dr. P. Loganayaki, M.Sc., M.Phil., Ph.D., with wide exposure in a diversified field of education as a 20-years teaching experience. Currently, she is working as an assistant professor in the Department of Mathematics at the Avinashi lingam Institute for Home Science and Higher Education for Women, Coimbatore. She has published four papers in Scopus and UGC Care journals, two book chapters, and guided 12 M.Sc. scholars. Motivating future scholars to appraise to exuberant levels.
Dr.K.Kavithamani M.Sc., M.Phil., Ph.D She did her research work in the area of General Topology and has published 20 papers in well reputed journals. She has participated in Seminars, Workshops and Conferences. She started her career as Lecturer in Park Group of Institutions, Coimbatore from June 2005, as an Assistant Professor of JCT College of Engineering and Technology, Coimbatore in June 2009, Rathinam Technical Campus, Coimbatore in June 2016 and as an Associate Professor in Hindusthan College of Engineering and Technology, Coimbatore from June 2017 to till date. She has totally 19 years of experience in teaching. She is a life member in IISE and reviewer of IIP series, AJACR and JMSRR.
Dr. V. Vijayalakshmi, M.Sc., M.Phil., Ph.D. has a distinguished academic background and 20 years of teaching experience in Mathematics. She is currently an Assistant Professor in the Department of Science and Humanities (Mathematics), Faculty of Engineering, at Karpagam Academy of Higher Education, Coimbatore. She is guiding four PhD scholar in the field of Queueing theory. She has published She has published two books, secured two IPR patents, one UK patents and 12 publications in Scopus and Web of Science indexed journals. She has presented 4 papers in National and International Conference. She has passed five exams in NPTEL. Her contributions to discrete mathematics books have inspired students, alleviated their fears and encouraged a positive attitude towards the subject.
