Download e-book for iPad: Discrete Mathematics (Universitext) by Jean Gallier

By Jean Gallier

This books offers an advent to discrete arithmetic for starting undergraduates. considered one of unique positive aspects of this e-book is that it starts with a presentation of the foundations of common sense as utilized in arithmetic. Many examples of formal and casual proofs are given. With this logical framework firmly in position, the booklet describes the key axioms of set idea and introduces the traditional numbers. the remainder of the ebook is extra normal. It offers with services and family members, directed and undirected graphs, and an creation to combinatorics. there's a part on public key cryptography and RSA, with entire proofs of Fermat's little theorem and the correctness of the RSA scheme, in addition to specific algorithms to accomplish modular mathematics. The final bankruptcy presents extra graph concept. Eulerian and Hamiltonian cycles are mentioned. Then, we examine flows and tensions and nation and end up the max stream min-cut theorem. We additionally speak about matchings, protecting, bipartite graphs.

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Discrete Mathematics (Universitext) by Jean Gallier

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