Discrete mathematics logic notes pdf

Having attempted some twenty years ago to demystify logic for computer scientists. Discrete mathematics logic gates and circuits with introduction, sets theory, types of sets, set operations, algebra of sets, multisets, induction, relations, functions and algorithms etc. The rules of mathematical logic specify methods of reasoning mathematical statements. Pdf these are notes on discrete mathematics for computer scientists. Lecture notes in discrete mathematics arkansas tech faculty web.

A proposition is any meaningful statement that is either true or false, but. Propositional logic richard mayr university of edinburgh, uk richard mayr university of edinburgh, uk discrete mathematics. Note that the above rule reflects the intended meaning provided that authors have. Notes on discrete mathematics northwestern university. The participants of the party form a set, whose elements are alice, bob, carl, diane, eve, frank and george let us denote this set by p. Discrete mathematics i cs127 lecture notes department of. Discrete mathematics courant institute of mathematical. Pdf discrete mathematics for computer science, some notes. Any collection of things, called elements, is a set. Discrete mathematics and its applications seventh edition. Discrete mathematics propositional logic tutorialspoint. He was solely responsible in ensuring that sets had a home in mathematics. The discrete mathematics notes pdf dm notes pdf book starts with the topics covering logic and proof, strong induction,pigeon hole principle, isolated vertex, directed graph, alebric structers, lattices and boolean algebra, etc.

A proposition is a statement that is either true or false. The usual tool in mathematics to do so is the notion of a set. These are notes on discrete mathematics for computer scientists. Mathematics is a discipline in which working the problems is essential to the understanding of the material contained in this book. The objects in a set are called the elements, or members, of the set. Logic is a part of mathematics both as a tool and an object of study. For example, the set 2,4,17,23 is the same as the set 17,4,23,2. Students are strongly encouraged to keep up with the exercises and the sequel of concepts as they are going along, for mathematics builds on itself. Topicsincludepropositionallogic, discrete mathematics, and linear algebra.

Greek philosopher, aristotle, was the pioneer of logical reasoning. However, the rigorous treatment of sets happened only in the 19th century due to the german mathematician georg cantor. The book began as a set of notes for the discrete mathematics course at the. Paris is in france true, london is in denmark false, 2 propositions. This is a book about discrete mathematics which also discusses mathematical reasoning and logic. Explicit training in mathematical logic is essential to a mature understanding of mathematics. Indeed i begin with a discussion of the basic rules of mathematical reasoning and of. Logical reasoning provides the theoretical base for many areas of mathematics and consequently computer science. Discrete structures lecture notes stanford university. Cantor developed the concept of the set during his study of the trigonometric series, which is now known as the limit point or the derived set operator. Discrete mathematics logic gates and circuits javatpoint. Discrete mathematics for computer science some notes arxiv. Discrete mathematics, second edition in progress cis upenn.