LEADER 05132nam 2200553 450 001 996466389303316 005 20231005161829.0 010 $a3-030-78017-1 035 $a(CKB)4100000011979377 035 $a(MiAaPQ)EBC6676453 035 $a(Au-PeEL)EBL6676453 035 $a(OCoLC)1260343578 035 $a(PPN)258304308 035 $a(EXLCZ)994100000011979377 100 $a20220327d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComputer algebra $ean algorithm-oriented introduction /$fWolfram Koepf 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (394 pages) 225 1 $aSpringer Undergraduate Texts in Mathematics and Technology 311 $a3-030-78016-3 327 $aIntro -- Preface -- Contents -- Chapter 1 Introduction to Computer Algebra -- 1.1 Capabilities of Computer Algebra Systems -- 1.2 Additional Remarks -- 1.3 Exercises -- Chapter 2 Programming in Computer Algebra Systems -- 2.1 Internal Representation of Expressions -- 2.2 Pattern Matching -- 2.3 Control Structures -- 2.4 Recursion and Iteration -- 2.5 Remember Programming -- 2.6 Divide-and-Conquer Programming -- 2.7 Programming through Pattern Matching -- 2.8 Additional Remarks -- 2.9 Exercises -- Chapter 3 Number Systems and Integer Arithmetic -- 3.1 Number Systems -- 3.2 Integer Arithmetic: Addition and Multiplication -- 3.3 Integer Arithmetic: Division with Remainder -- 3.4 The Extended Euclidean Algorithm -- 3.5 Unique Factorization -- 3.6 Rational Arithmetic -- 3.7 Additional Remarks -- 3.8 Exercises -- Chapter 4 Modular Arithmetic -- 4.1 Residue Class Rings -- 4.2 Modulare Square Roots -- 4.3 Chinese Remainder Theorem -- 4.4 Fermat's Little Theorem -- 4.5 Modular Logarithms -- 4.6 Pseudoprimes -- 4.7 Additional Remarks -- 4.8 Exercises -- Chapter 5 Coding Theory and Cryptography -- 5.1 Basic Concepts of Coding Theory -- 5.2 Prefix Codes -- 5.3 Check Digit Systems -- 5.4 Error Correcting Codes -- 5.5 Asymmetric Ciphers -- 5.6 Additional Remarks -- 5.7 Exercises -- Chapter 6 Polynomial Arithmetic -- 6.1 Polynomial Rings -- 6.2 Multiplication: The Karatsuba Algorithm -- 6.3 Fast Multiplication with FFT -- 6.4 Division with Remainder -- 6.5 Polynomial Interpolation -- 6.6 The Extended Euclidean Algorithm -- 6.7 Unique Factorization -- 6.8 Squarefree Factorization -- 6.9 Rational Functions -- 6.10 Additional Remarks -- 6.11 Exercises -- Chapter 7 Algebraic Numbers -- 7.1 Polynomial Quotient Rings -- 7.2 Chinese Remainder Theorem -- 7.3 Algebraic Numbers -- 7.4 Finite Fields -- 7.5 Resultants -- 7.6 Polynomial Systems of Equations. 327 $a7.7 Additional Remarks -- 7.8 Exercises -- Chapter 8 Factorization in Polynomial Rings -- 8.1 Preliminary Considerations -- 8.2 Efficient Factorization in Zp[x] -- 8.3 Squarefree Factorization of Polynomials over Finite Fields -- 8.4 Efficient Factorization in Q[x] -- 8.5 Hensel Lifting -- 8.6 Multivariate Factorization -- 8.7 Additional Remarks -- 8.8 Exercises -- Chapter 9 Simplification and Normal Forms -- 9.1 Normal Forms and Canonical Forms -- 9.2 Normal Forms and Canonical Forms for Polynomials -- 9.3 Normal Forms for Rational Functions -- 9.4 Normal Forms for Trigonometric Polynomials -- 9.5 Additional Remarks -- 9.6 Exercises -- Chapter 10 Power Series -- 10.1 Formal Power Series -- 10.2 Taylor Polynomials -- 10.3 Computation of Formal Power Series -- 10.3.1 Holonomic Differential Equations -- 10.3.2 Holonomic Recurrence Equations -- 10.3.3 Hypergeometric Functions -- 10.3.4 Efficient Computation of Taylor Polynomials of Holonomic Functions -- 10.4 Algebraic Functions -- 10.5 Implicit Functions -- 10.6 Additional Remarks -- 10.7 Exercises -- Chapter 11 Algorithmic Summation -- 11.1 Definite Summation -- 11.2 Difference Calculus -- 11.3 Indefinite Summation -- 11.4 Indefinite Summation of Hypergeometric Terms -- 11.5 Definite Summation of Hypergeometric Terms -- 11.6 Additional Remarks -- 11.7 Exercises -- Chapter 12 Algorithmic Integration -- 12.1 The Bernoulli Algorithm for Rational Functions -- 12.2 Algebraic Prerequisites -- 12.3 Rational Part -- 12.4 Logarithmic Case -- 12.5 Additional Remarks -- 12.6 Exercises -- References -- List of Symbols -- Mathematica List of Keywords -- Index. 410 0$aSpringer undergraduate texts in mathematics and technology. 606 $aAlgebra$xData processing 606 $aComputer science$xMathematics 606 $aÀlgebra$2thub 606 $aProcessament de dades$2thub 606 $aAlgorismes computacionals$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebra$xData processing. 615 0$aComputer science$xMathematics. 615 7$aÀlgebra 615 7$aProcessament de dades 615 7$aAlgorismes computacionals 676 $a512.0285 700 $aKoepf$b Wolfram$0481654 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466389303316 996 $aComputer Algebra$92280300 997 $aUNISA LEADER 03480oam 22008054a 450 001 9910734993703321 005 20210209185023.0 010 $a9782760521421 010 $a2760521427 010 $a9781441600998 010 $a144160099X 035 $a(CKB)1000000000720302 035 $a(EBL)600360 035 $a(OCoLC)682540538 035 $a(SSID)ssj0000735088 035 $a(PQKBManifestationID)11401962 035 $a(PQKBTitleCode)TC0000735088 035 $a(PQKBWorkID)10742528 035 $a(PQKB)11718936 035 $a(CaBNvSL)thg00603740 035 $a(MiAaPQ)EBC3257302 035 $a(OCoLC)417068448 035 $a(MdBmJHUP)muse20697 035 $a(MiAaPQ)EBC600360 035 $a(Au-PeEL)EBL600360 035 $a(CaPaEBR)ebr11337686 035 $a(CaONFJC)MIL935808 035 $a(VaAlCD)20.500.12592/pphwpn 035 $a(schport)gibson_crkn/2009-12-01/7/422359 035 $a(PPN)187294380 035 $a(FR-PaCSA)88801197 035 $a(FRCYB88801197)88801197 035 $a(EXLCZ)991000000000720302 100 $a19980716d1998 uy 0 101 0 $afre 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aImages en mouvement $eStockage - Repérage - Indexation /$fJames M. Turner 205 $a1st ed. 210 $aSainte-Foy [Que.] $cPresses de l'Universite? du Que?bec$d1998 215 $a1 online resource (116 p.) 225 1 $aCollection Gestion de l'information 300 $aDescription based upon print version of record. 311 08$a9782760509931 311 08$a2760509931 320 $aIncludes bibliographical references ( p. [87]-98) and index. 327 $aIMAGES EN MOUVEMENT; Avant-propos; Table des matie?res; Chapitre 1_Introduction; Chapitre 2_La cate?gorisation des documents visuels; Chapitre 3_L'acce?s aux documents des collections visuelles; Chapitre 4_Des lignes directrices pour l'indexation d'images en mouvement; Chapitre 5_En guise de conclusion; Glossaire; Re?fe?rences et bibliographie; Index 330 $aL'ave?nement puis la fusion des nouveaux modes de communication que sont l'informatique, les te?le?communications et l'audiovisuel ont mis a? la porte?e de tous une grande quantite? d'images fixes et en mouvement dont la conservation et le repe?rage risquent de prendre des proportions de?mesure?es. Le pre?sent ouvrage veut offrir aux responsables de collection des repe?res pour aborder la proble?matique de l'indexation des images et faciliter l'acce?s des usagers a? ces images. 410 0$aCollection Gestion de l'information 606 $aRecherche de l'information 606 $aVideo$xAnalyse et indexation des documents 606 $aFilms (Pellicules cinematographiques)$xAnalyse et indexation des documents 606 $aCataloging of video recordings$zCanada 606 $aCataloging of motion pictures$zCanada 608 $aElectronic books. 615 6$aRecherche de l'information. 615 6$aVideo$xAnalyse et indexation des documents. 615 6$aFilms (Pellicules cinematographiques)$xAnalyse et indexation des documents. 615 0$aCataloging of video recordings 615 0$aCataloging of motion pictures 676 $a025.3/473 700 $aTurner$b James M.$f1945-$01376046 801 0$bMdBmJHUP 801 1$bMdBmJHUP 906 $aBOOK 912 $a9910734993703321 996 $aImages en mouvement$93411328 997 $aUNINA