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Discrete mathematics / Jean Gallier

By: Resource type: Ressourcentyp: BuchBookPublisher number: 80023543Language: English Series: UniversitextPublisher: Dordrecht ; Heidelberg [u.a.] : Springer, 2011Description: XIII, 465 S. : Ill., graph. Darst ; 235 mm x 155 mmISBN:
  • 1441980466
  • 9781441980465
Subject(s): Genre/Form: Additional physical formats: 9781441980472. | Online-Ausg.: Discrete Mathematics. New York, NY [u.a.] : Springer, 2011. Online-Ressource | Erscheint auch als: Discrete Mathematics. Online-Ausgabe 1. New York, NY : Springer New York, 2011. Online-Ressource (XIII, 465p. 220 illus., 20 illus. in color, digital)MSC: MSC: *05-01 | 05Axx | 05Cxx | 06Axx | 06Dxx | 68R05 | 68R10 | 97E30 | 03Bxx | 97K10RVK: RVK: SK 110 | SK 180 | SK 950LOC classification:
  • QA76.9.M35
Summary: 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 graphsPPN: PPN: 636691268
Item type Home library Shelving location Call number Status Date due Barcode Item holds
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Diskr. Math. / Gal Available 36494408090
Total holds: 0

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