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- 2012419782 abstract "Summary: 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 formal and 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 more standard. 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.".
- 2012419782 contributor B12589262.
- 2012419782 created "c2011.".
- 2012419782 date "2011".
- 2012419782 date "c2011.".
- 2012419782 dateCopyrighted "c2011.".
- 2012419782 description "Includes bibliographical references and indexes.".
- 2012419782 description "Mathematical reasoning, proof principles, and logic -- Relations, functions, partial functions -- Graphs, Part I: Basic notions -- Some counting problems; multinomial coefficients -- Partial orders, GCDs, RSA, Lattices -- Graphs, Part II: More advanced notions.".
- 2012419782 description "Summary: 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 formal and 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 more standard. 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.".
- 2012419782 extent "xiii, 465 p. :".
- 2012419782 identifier "1441980466".
- 2012419782 identifier "9781441980465 (pbk. : alk. paper)".
- 2012419782 identifier "9781441980472 (e-ISBN)".
- 2012419782 identifier 2012419782-b.html.
- 2012419782 identifier 2012419782-d.html.
- 2012419782 identifier 2012419782-t.html.
- 2012419782 isPartOf "Universitext.".
- 2012419782 issued "2011".
- 2012419782 issued "c2011.".
- 2012419782 language "eng".
- 2012419782 publisher "New York : Springer,".
- 2012419782 subject "510 22".
- 2012419782 subject "Computer vision.".
- 2012419782 subject "Engineering design.".
- 2012419782 subject "Mathematics.".
- 2012419782 subject "Number theory.".
- 2012419782 subject "QA76.9.M35 G35 2011".
- 2012419782 tableOfContents "Mathematical reasoning, proof principles, and logic -- Relations, functions, partial functions -- Graphs, Part I: Basic notions -- Some counting problems; multinomial coefficients -- Partial orders, GCDs, RSA, Lattices -- Graphs, Part II: More advanced notions.".
- 2012419782 title "Discrete mathematics / Jean Gallier.".
- 2012419782 type "text".