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008 021114s2003 nyua b 001 0 eng
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050 00 $aQA155.7.E4$bH43 2003
072 7 $aQA$2lcco
080 $a518.579.H44
082 00 $a512/.00285/5369$221
084 $a54.71$2bcl
084 $aST 601 M25$2rvk
084 $aST 601$2rvk
084 $aDAT 306f$2stub
100 1 $aHeck, André$c(Mathematician)
245 10 $aIntroduction to Maple /$cAndré Heck.
250 $a3rd ed.
260 $aNew York :$bSpringer,$c©2003.
300 $axvi, 828 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references (pages 747-760) and index.
505 00 $g1$tIntroduction to Computer Algebra$g1 --$g1.2$tComputer Algebra Systems$g2 --$g1.4$tAdvantages of Computer Algebra$g11 --$g1.5$tLimitations of Computer Algebra$g23 --$g1.6$tDesign of Maple$g29 --$g2$tThe First Steps: Calculus on Numbers$g33 --$g2.2$tGetting Help$g36 --$g2.3$tIntegers and Rational Numbers$g41 --$g2.4$tIrrational Numbers and Floating-Point Numbers$g46 --$g2.5$tAlgebraic Numbers$g53 --$g2.6$tComplex Numbers$g58 --$g3$tVariables and Names$g65 --$g3.1$tAssignment and Unassignment$g65 --$g3.2$tEvaluation$g73 --$g3.3$tNames of Variables$g77 --$g3.4$tBasic Data Types$g83 --$g3.5$tAttributes$g88 --$g3.6$tProperties$g89 --$g4$tGetting Around with Maple$g95 --$g4.1$tMaple Input and Output$g95 --$g4.2$tThe Maple Library$g101 --$g4.3$tReading and Writing Files$g106 --$g4.4$tImporting and Exporting Numerical Data$g113 --$g4.5$tLow-level I/O$g116 --$g4.6$tCode Generation$g127 --$g4.7$tChanging Maple to Your Own Taste$g133 --$g5$tPolynomials and Rational Functions$g139 --$g5.1$tUnivariate Polynomials$g139 --$g5.2$tMultivariate Polynomials$g145 --$g5.4$tConversions$g148 --$g6$tInternal Data Representation and Substitution$g153 --$g6.1$tInternal Representation of Polynomials$g153 --$g6.2$tGeneralized Rational Expressions$g159 --$g6.3$tSubstitution$g161 --$g7$tManipulation of Polynomials and Rational Expressions$g175 --$g7.1$tExpansion$g175 --$g7.2$tFactorization$g178 --$g7.3$tCanonical Form and Normal Form$g181 --$g7.4$tNormalization$g183 --$g7.5$tCollection$g185 --$g7.6$tSorting$g187 --$g8$tFunctions$g189 --$g8.1$tMathematical Functions$g189 --$g8.2$tArrow Operators$g193 --$g8.3$tPiecewise Defined Functions$g195 --$g8.4$tMaple Procedures$g201 --$g8.5$tRecursive Procedure Definitions$g204 --$g8.6$tUnapply$g208 --$g8.7$tOperations on Functions$g209 --$g8.8$tAnonymous Functions$g210 --$g9$tDifferentiation$g213 --$g9.1$tSymbolic Differentiation$g213 --$g9.2$tAutomatic Differentiation$g220 --$g10$tIntegration and Summation$g225 --$g10.1$tIndefinite Integration$g225 --$g10.2$tDefinite Integration$g234 --$g10.3$tNumerical Integration$g239 --$g10.4$tIntegral Transforms$g241 --$g10.5$tAssisting Maple's Integrator$g250 --$g11$tSeries, Approximation, and Limits$g265 --$g11.1$tTruncated Series$g265 --$g11.2$tApproximation of Functions$g276 --$g11.3$tPower Series$g281 --$g12$tComposite Data Types$g289 --$g12.1$tSequence$g289 --$g12.2$tSet$g292 --$g12.3$tList$g294 --$g12.4$tArrays$g300 --$g12.5$tTable: table$g316 --$g12.6$tLast Name Evaluation$g319 --$g12.7$tRectangular Table: rtable$g321 --$g12.8$tRecord Data Structure$g325 --$g12.9$tFunction Call$g326 --$g12.10$tConversion between Composite Data Types$g328 --$g13$tThe Assume Facility$g333 --$g13.1$tThe Need for an Assume Facility$g333 --$g13.3$tAn Algebra of Properties$g342 --$g13.4$tImplementation of assume$g344 --$g13.6$tHierarchy of Properties$g350 --$g14$tSimplification$g353 --$g14.1$tAutomatic Simplification$g354 --$g14.2$texpand$g356 --$g14.3$tcombine$g364 --$g14.4$tsimplify$g370 --$g14.5$tconvert$g375 --$g14.6$tTrigonometric Simplification$g379 --$g14.7$tSimplification w.r.t. Side Relations$g382 --$g14.8$tControl Over Simplification$g386 --$g14.9$tDefining Your Own Simplification Routines$g391 --$g14.11$tSimplification Chart$g399 --$g15$tGraphics$g401 --$g15.1$tSome Basic Two-Dimensional Plots$g403 --$g15.2$tOptions of plot$g407 --$g15.3$tThe Structure of Two-Dimensional Graphics$g418 --$g15.4$tThe plottools Package$g422 --$g15.5$tSpecial Two-Dimensional Plots$g426 --$g15.6$tTwo-Dimensional Geometry$g436 --$g15.7$tPlot Aliasing$g438 --$g15.8$tA Common Mistake$g439 --$g15.9$tSome Basic Three-Dimensional Plots$g441 --$g15.10$tOptions of plot3d$g442 --$g15.11$tThe Structure of Three-Dimensional Graphics$g448 --$g15.12$tSpecial Three-Dimensional Plots$g452 --$g15.13$tData Plotting$g459 --$g15.14$tAnimation$g469 --$g15.15$tList of Plot Options$g472 --$g16$tSolving Equations$g481 --$g16.1$tEquations in One Unknown$g481 --$g16.2$tAbbreviations in solve$g483 --$g16.3$tSome Difficulties$g485 --$g16.4$tSystems of Equations$g492 --$g16.5$tThe Grobner Basis Method$g501 --$g16.6$tInequalities$g508 --$g16.7$tNumerical Solvers$g510 --$g16.8$tOther Solvers in Maple$g512 --$g17$tDifferential Equations$g521 --$g17.1$tFirst Glance at ODEs$g522 --$g17.2$tAnalytic Solutions$g524 --$g17.3$tLie Point Symmetries for ODEs$g538 --$g17.4$tTaylor Series Method$g560 --$g17.5$tPower Series Method$g561 --$g17.6$tNumerical Solutions$g566 --$g17.7$tGraphical Methods$g580 --$g17.8$tChange of Coordinates$g586 --$g17.9$tPerturbation Methods$g590 --$g17.10$tPartial Differential Equations$g600 --$g17.11$tLie Point Symmetries of PDEs$g615 --$g18$tThe LinearAlgebra Package$g619 --$g18.1$tLoading the LinearAlgebra Package$g619 --$g18.2$tCreating Vectors and Matrices$g621 --$g18.3$tVector and Matrix Arithmetic$g629 --$g18.4$tBasic Matrix Functions$g634 --$g18.5$tStructural Operations$g641 --$g18.6$tVector Operations$g645 --$g18.7$tStandard Forms of Matrices$g646 --$g18.8$tNumeric Linear Algebra$g656 --$g19$tLinear Algebra: Applications$g663 --$g19.1$tKinematics of the Stanford Manipulator$g663 --$g19.2$tA 3-Compartment Model of Cadmium Transfer$g669 --$g19.3$tMolecular-Orbital Huckel Theory$g680 --$g19.4$tVector Calculus$g687 --$g19.5$tMoore-Penrose Inverse$g693 --$g20$tA Bird's-Eye View of Grobner Bases$g697 --$g20.2$tElementary Solution Methods$g702 --$g20.2.1$tHeuristic Method$g702 --$g20.2.2$tGaussian Elimination-Like Method$g702 --$g20.3$tBasics of the Grobner Basis Method$g703 --$g20.3.1$tTerm Ordering$g704 --$g20.3.2$tPolynomial Reduction and Normal Form$g710 --$g20.3.3$tCharacterization of a Grobner Basis$g712 --$g20.3.4$tThe Buchberger Algorithm$g714 --$g20.3.5$tImprovements of Buchberger's Algorithm$g716 --$g20.4$tProperties and Applications of Grobner Bases$g719 --$g20.4.1$tEquivalence of Systems of Polynomial Equations$g720 --$g20.4.2$tDimension, Hilbert Series and Hilbert Polynomial$g721 --$g20.4.3$tSolvability of Polynomial Equations$g725 --$g20.4.4$tFinite Solvability of Polynomial Equations$g729 --$g20.4.5$tCounting of Finite Solutions$g730 --$g20.4.6$tConverting a System of Polynomial Equations into Triangular Form$g732 --$g20.4.7$tFinding a Univariate Polynomial$g734 --$g20.4.8$tDecomposition of Ideals$g735 --$g20.4.9$tAn Example From Robotics$g739 --$g20.4.10$tImplicitization of Parametric Objects$g740 --$g20.4.11$tInvertibility of Polynomial Mappings$g742 --$g20.4.12$tSimplification of Expressions$g742 --$g20.4.13$tWorking over General Algebras$g743.
520 $aThis is a fully revised edition of the best-selling Introduction to Maple. The book presents the modern computer algebra system Maple, teaching the reader not only what can be done by Maple, but also how and why it can be done. The book also provides the necessary background for those who want the most of Maple or want to extend its built-in knowledge. Emphasis is on understanding the Maple system more than on factual knowledge of built-in possibilities. To this end, the book contains both elementary and more sophisticated examples as well as many exercises. The typical reader should have a background in mathematics at the intermediate level. Andre Heck began developing and teaching Maple courses at the University of Nijmegen in 1987. In 1989 he was appointed managing director of the CAN Expertise Center in Amsterdam. CAN, Computer Algebra in the Netherlands, stimulates and coordinates the use of computer algebra in education and research. In 1996 the CAN Expertise Center was integrated into the Faculty of Science at the University of Amsterdam, into what became the AMSTEL Institute. The institute program focuses on the innovation of computer activities in mathematics and science education on all levels of education. The author is actively involved in the research and development aimed at the integrated computer learning environment Coach for mathematics and science education at secondary school level.
650 0 $aAlgebra$xData processing.
650 7 $a54.71 formal manipulation, computer algebra.$0(NL-LeOCL)077605403$2bcl
650 7 $aAlgebra$xData processing.$2fast$0(OCoLC)fst00804890
650 7 $aComputeralgebra$2gnd
650 7 $aMaple$gProgramm$2gnd
650 17 $aMaple (computerprogramma)$2gtt
650 7 $aLinguagem de programação.$2larpcal
650 7 $aÁlgebra.$2larpcal
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856 42 $uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1483237&custom_att_2=simple_viewer$xVerlag
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