Languages and Machines
by C. D. H. Cooper
Publisher: Macquarie University 2008
This is a text on discrete mathematics that discusses the mathematics behind computing science. It includes chapters on logic, set theory and strings and languages. There are some chapters on finite-state machines, some chapters on Turing machines and computability, and a couple of chapters on codes.
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(multiple PDF files)
by Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
by Miguel A. Lerma
Summary of the course CS 310: Mathematical Foundations of Computer Science. It covers concepts of discreet mathematics and applications to computer science, logic and Boolean circuits, functions, sets, relations, databases, finite automata, and more.
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The book about main ideas on generating functions and some of their uses in discrete mathematics. Generating functions are a bridge between discrete mathematics and continuous analysis. The book is suitable for undergraduates.