Description
Elements of the Theory of Computation presents the mathematical foundations of theoretical computer science through the study of formal languages, automata, computability, and computational complexity. It begins with sets, relations, and languages, then develops finite automata, regular languages, context-free languages, and Turing machines. The book examines undecidability and the limits of computation before introducing computational complexity, polynomial-time computation, and NP-completeness. Algorithms, complexity analysis, and algorithmic ideas are integrated throughout the text, connecting theoretical concepts with fundamental problems in computer science. Clear explanations, mathematical treatment, examples, and section-by-section exercises make the book suitable for advanced undergraduate and introductory graduate courses in theory of computation.