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.
Download or read it online for free here:
(multiple PDF files)
by Oscar Levin - University of Northern Colorado
This book was written to be used as the primary text for introduction to proof, as well as an introduction to topics in discrete mathematics. Contents: Counting; Sequences; Symbolic Logic and Proofs; Graph Theory; Generating Functions; and more.
by Harris Kwong - Open SUNY Textbooks
This textbook covers the standard topics in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics. It explains and clarifies the unwritten conventions in mathematics.
by Kenneth H. Rosen - Mcgraw-Hill College
This is a guide to help you explore concepts in discrete mathematics using the computer system Maple. It is designed to be accessible to those who are complete novices with Maple and with computer programming, but it has much to offer even experts.
by Eric Lehman, F Thomson Leighton, Albert R Meyer - MIT
An introduction to discrete mathematics oriented toward Computer Science and Engineering. Topics covered: Fundamental concepts of Mathematics: sets, functions, number theory; Discrete structures: graphs, counting; Discrete probability theory.