LEADER 04000nam 2200733 a 450 001 9910815901403321 005 20200520144314.0 010 $a1-107-17584-4 010 $a0-511-64579-1 010 $a9786612390289 010 $a1-282-39028-7 010 $a1-139-63726-6 010 $a0-511-80824-0 010 $a0-511-64988-6 010 $a0-511-41278-9 010 $a0-511-56800-2 010 $a0-511-41370-X 035 $a(CKB)1000000000690162 035 $a(EBL)352970 035 $a(OCoLC)476173558 035 $a(SSID)ssj0000338774 035 $a(PQKBManifestationID)11252293 035 $a(PQKBTitleCode)TC0000338774 035 $a(PQKBWorkID)10298607 035 $a(PQKB)11312634 035 $a(UkCbUP)CR9780511808241 035 $a(MiAaPQ)EBC352970 035 $a(Au-PeEL)EBL352970 035 $a(CaPaEBR)ebr10240295 035 $a(CaONFJC)MIL239028 035 $a(PPN)156193353 035 $a(EXLCZ)991000000000690162 100 $a20080110d2008 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHow to think about algorithms /$fJeff Edmonds 205 $a1st ed. 210 $aCambridge ;$aNew York $cCambridge University Press$d2008 215 $a1 online resource (xiii, 448 pages) $cdigital, PDF file(s) 300 $aIncludes index. 311 $a0-521-61410-4 311 $a0-521-84931-4 327 $aIterative algorithms: measures of progress and loop invariants -- Examples using more-of-the-input loop invariants -- Abstract data types -- Narrowing the search space: binary search -- Iterative sorting algorithms -- Euclid's GCD algorithm -- The loop invariant for lower bounds -- Abstractions, techniques, and theory -- Some simple examples of recursive algorithms -- Recursion on trees -- Recursive images -- Parsing with context-free grammars -- Definition of optimization problems -- Graph search algorithms -- Network flows and linear programming -- Greedy algorithms -- Recursive backtracking -- Dynamic programming algorithms -- Examples of dynamic programs -- Reductions and NP-completeness -- Randomized algorithms -- Existential and universal quantifiers -- Time complexity -- Logarithms and exponentials -- Asymptotic growth -- Adding-made-easy approximations -- Recurrence relations -- A formal proof of correctness. 330 $aThis textbook, for second- or third-year students of computer science, presents insights, notations, and analogies to help them describe and think about algorithms like an expert, without grinding through lots of formal proof. Solutions to many problems are provided to let students check their progress, while class-tested PowerPoint slides are on the web for anyone running the course. By looking at both the big picture and easy step-by-step methods for developing algorithms, the author guides students around the common pitfalls. He stresses paradigms such as loop invariants and recursion to unify a huge range of algorithms into a few meta-algorithms. The book fosters a deeper understanding of how and why each algorithm works. These insights are presented in a careful and clear way, helping students to think abstractly and preparing them for creating their own innovative ways to solve problems. 606 $aAlgorithms$xStudy and teaching 606 $aLoops (Group theory)$xStudy and teaching 606 $aInvariants$xStudy and teaching 606 $aRecursion theory$xStudy and teaching 615 0$aAlgorithms$xStudy and teaching. 615 0$aLoops (Group theory)$xStudy and teaching. 615 0$aInvariants$xStudy and teaching. 615 0$aRecursion theory$xStudy and teaching. 676 $a518/.1 700 $aEdmonds$b Jeff$f1963-$01642497 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910815901403321 996 $aHow to think about algorithms$93987239 997 $aUNINA