Guide to Discrete Mathematics

Livro digital

Título:
Guide to Discrete Mathematics

Autor:
Gerard O'Regan

Categoria:
Matemática & Lógica > Matemática Discreta e Grafos

Pessoa doadora:
Raffaello D. N.

Sinopse:
Guide to Discrete Mathematics is for readers who want a broad route into the subject without losing sight of how it connects to computing. Its table of contents moves from sets, relations, functions, number theory, induction, sequences, algebra, matrices, and graph theory into the more computer-science-specific terrain of automata, cryptography, coding theory, language theory, computability, and logic, so the scope is wider than a standard proofs primer. The book is organized as a guided tour from historical foundations through core discrete structures and then into applications. It opens with early civilizations and fundamental building blocks, then develops proof methods, recursion, and combinatorics before reaching abstract algebra and formal models of computation. Later chapters widen the lens to software engineering, formal methods, Z notation, probability, and statistics, with explicit links to cryptography, AI, databases, reliability, and queuing theory. That range makes the book useful as an overview for computer science students, mathematically curious readers, and anyone who wants to see why discrete mathematics matters in practice. Its value is in breadth, clarity of progression, and the way it ties theory to real computing problems, making it a steady reference for both first contact with the field and later review.