Applied Discrete Structures

Livro digital

Título:
Applied Discrete Structures

Autor:
Al Doerr, Ken Levasseur

Categoria:
Tecnologia > Geral

Doador:
Raffaello D. N.

Sinopse:
Discrete mathematics becomes useful when its separate ideas begin to reinforce one another, and Applied Discrete Structures is organized around exactly that connection. Al Doerr and Ken Levasseur start with set theory, logic, combinatorics, and relations, then develop functions, recursion, graph theory, trees, and algorithms before reaching algebraic structures. The result is not a list of isolated definitions but a broad foundation for reasoning about the objects and systems that computer science depends on. Across its chapters, the book combines theorem-driven explanations with a substantial collection of worked examples and exercises. Readers encounter counting techniques, probability, generating functions, partially ordered sets, Boolean algebra, graph traversals, spanning trees, switching theory, matrices, groups, rings, and coding-related structures. SageMath notes and computational perspectives appear alongside traditional proofs, helping readers move between symbolic reasoning, algorithms, and experimentation. Its unusual strength is range without surrendering structure: topics that often live in separate courses are shown as parts of the same mathematical vocabulary. That makes the book useful both as a complete course text and as a long-term reference for programmers, engineering students, and mathematically curious readers. By the final chapters, the reader has not only practiced discrete techniques but also learned how those techniques scale into algebra, computation, and the design of reliable systems.