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001 17496261
003 17496261
005 20160704095247.0
008 121016s2011 nyuac b 001 0 eng
010 _a 2012419782
020 _a9789814296359
020 _a9789814296359
035 _a(OCoLC)ocn713236934
040 _aAU@
_beng
_cAU@
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_dUAF
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042 _alccopycat
050 0 0 _aQA76.9
_bMAL 2010
082 0 4 _a510
_222
100 1 _aMalik.D.S.
245 1 0 _aDiscrete mathematics:Theory and applications/
_cD.S. Malik and M.K. Sen.
260 _aAustralia :
_bCengage Learning,
_cc2010.
300 _axiii, 849 p. :
_bill. (some col.), ports. ;
_c24 cm.
490 0 _aUniversitext.
504 _aIncludes bibliographical references and indexes.
520 _aSummary: 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.
650 0 _aMathematics.
650 0 _aComputer vision.
650 0 _aNumber theory.
650 0 _aEngineering design.
856 4 2 _3Contributor biographical information
_uhttp://www.loc.gov/catdir/enhancements/fy1306/2012419782-b.html
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy1306/2012419782-d.html
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/enhancements/fy1306/2012419782-t.html
906 _a7
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942 _2lcc
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999 _c4844
_d4844