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Discrete mathematics [Elektronski vir]Gallier, Jean H.This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in ... mathematics. Many examples of forma land informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is morestandard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs. --Type of material - e-bookPublication and manufacture - New York : Springer, cop. 2011Language - englishISBN - 978-1-4419-8047-2; 1-4419-8047-4COBISS.SI-ID - 1543476191
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SpringerLink e-books 2008-2012Celotno besedilo dostopno za uporabnike SpringerLink slovenskega konzorcija neprofitnih institucij
Full text accessible to the users of SpringerLink Slovenian Consortium of Non-Profit Institutions
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