Fundamental Discrete Structures

V. Ravichandran, Atul Kumar Razdan (Autoren)

Buch | Hardcover

655 Seiten

2025 | 2025 ed.
Springer (Verlag)
978-981-96-0068-7 (ISBN)

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This book serves as a core text in discrete mathematics. It discusses topics such as symbolic logic, enumerative combinatorics, algebraic structures, graph theory, and related applications to computer science and other allied subjects. The presentation of related concepts is suitable for sophomore, junior, and senior-level undergraduate students. Exercises provided at the end of each chapter are designed to help the reader have an active learning experience throughout the study.

V. Ravichandran is Professor of mathematics at the National Institute of Technology, Tiruchirappalli, India. He held positions at Universiti Sains Malaysia (from 2004 to 2007 and 2011 to 2012) and at the University of Delhi, India (from 2007 to 2018). He specializes in geometric function theory and has published over 150 research papers. Since 2004, he has served as Editor of the Bulletin of the Malaysian Mathematical Sciences Society.

Atul Kumar Razdan served the Department of Mathematics, University of Delhi, India (from 2004 to 2008). He started his career as Lecturer in 1995 at Indira Gandhi National Open University (IGNOU), New Delhi, India, until 2004. His area of research is algebra on which he has published several papers in journals of international repute.

Mathematical Logic.- Sets and Relations.- Functions.- Methods of Proofs.- Elementary Combinatorics.- Recurrences and Generating Functions.- Graph Theory.- Algebraic Systems.- Posets, Lattices and Boolean Algebras.- Automata Theory and Formal Languages.- Some Further Applications.

Erscheint lt. Verlag	10.2.2025
Reihe/Serie	University Texts in the Mathematical Sciences
Zusatzinfo	85 Illustrations, color; 52 Illustrations, black and white; X, 490 p. 150 illus.
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	Boolean expressions and functions • cosets and Lagrange theorem • distributive lattices • Enumerative Combinatorics • equivalence and implications • equivalence relations and partitions • Eulerian graph • generating function method • groups and homomorphism • Hamiltonian graph • labelled trees • methods of proof • Predicate logic • Propositional Calculus • Recurrence relation • Recursive Functions • Rings and fields • semigroups and automata • switching theory and Karnaugh maps • theory of inference
ISBN-10	981-96-0068-5 / 9819600685
ISBN-13	978-981-96-0068-7 / 9789819600687
Zustand	Neuware