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Bibliographic Details
Main Author:	Garvan, Frank (Author)
Format:	Book
Language:	English
Published:	Boca Raton, FL [u.a.] CRC/Chapman & Hall 2002
Subjects:	Maple (Computer file) Maple (computerprogramma) Datenverarbeitung Algebra > Data processing Maple 7 Maple > Programm Handbuch Algebra
Online Access:	Inhaltsverzeichnis
Physical Description:	479 S. graph. Darst.
ISBN:	1584882328

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MARC


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Record in the Search Index

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adam_text	THE MAPLE BOOK FRANK GARVAN CHAPMAN & HALL/CRC A CRC PRESS COMPANY BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS 1. GETTING STARTED 1 1.1 STARTING A MAPLE SESSION 1 1.2 DIFFERENT VERSIONS OF MAPLE 3 1.3 BASIC SYNTAX 3 1.4 EDITING MISTAKES 5 1.5 HELP 5 1.6 A SAMPLE SESSION AND CONTEXT MENUS 7 1.7 PALETTES 10 1.8 SPREADSHEETS 12 1.9 QUITTING MAPLE 14 2. MAPLE AS A CALCULATOR 15 2.1 EXACT ARITHMETIC AND BASIC FUNCTIONS 15 2.2 FLOATING-POINT ARITHMETIC 16 3. HIGH SCHOOL ALGEBRA 19 3.1 POLYNOMIALS AND RATIONAL FUNCTIONS 19 3.1.1 FACTORING A POLYNOMIAL 19 3.1.2 EXPANDING AN EXPRESSION 19 3.1.3 COLLECTING LIKE TERMS 20 3.1.4 SIMPLIFYING AN EXPRESSION 21 3.1.5 SIMPLIFYING RADICALS 22, 3.1.6 WORKING IN THE REAL DOMAIN 23 3.1.7 SIMPLIFYING RATIONAL FUNCTIONS 25 3.1.8 DEGREE AND COEFFICIENTS OF A POLYNOMIAL 27 3.1.9 SUBSTITUTING INTO AN EXPRESSION 28 3.1.10 RESTORING VARIABLE STATUS 28 3.2 EQUATIONS 29 3.2.1 LEFT- AND RIGHT-HAND SIDES 29 3.2.2 FINDING EXACT SOLUTIONS 30 3.2.3 FINDING APPROXIMATE SOLUTIONS 30 3.2.4 ASSIGNING SOLUTIONS 31 3.3 FUN WITH INTEGERS 31 3.3.1 COMPLETE INTEGER FACTORIZATION 31 3.3.2 QUOTIENT AND REMAINDER 32 3.3.3 GCD AND LCM 32 3.3.4 PRIMES 33 3.3.5 INTEGER SOLUTIONS 33 3.3.6 REDUCTION MOD P 34 3.4 UNIT CONVERSION 34 3.5 TRIGONOMETRY 36 3.5.1 DEGREES AND RADIANS 36 3.5.2 TRIGONOMETRIC FUNCTIONS 37 3.5.3 SIMPLIFYING TRIGONOMETRIC FUNCTIONS 38 4. DATA TYPES 41 4.1 SEQUENCES 41 4.2 SETS 42 4.3 LISTS 43 4.4 TABLES 44 4.5 ARRAYS .... . J . 44 4.6 DATA CONVERSIONS 45 4.7 OTHER DATA TYPES 46 5. CALCULUS 47 5.1 DEFINING FUNCTIONS 47 5.2 COMPOSITION OF FUNCTIONS 48 5.3 SUMMATION AND PRODUCT I 48 5.4 LIMITS 50 5.5 DIFFERENTIATION 51 5.6 EXT REMA 52 5.7 INTEGRATION 54 5.7.1 TECHNIQUES OF INTEGRATION 56 5.7.1.1 SUBSTITUTION 56 5.7.1.2 INTEGRATION BY PARTS 57 5.7.1.3 PARTIAL FRACTIONS 57 5.8 TAYLOR AND SERIES EXPANSIONS 58 5.9 THE STUDENT PACKAGE 58 6. GRAPHICS 67 6.1 TWO-DIMENSIONAL PLOTTING 67 6.1.1 RESTRICTING DOMAIN AND RANGE 69 6.1.2 PARAMETRIC PLOTS 69 6.1.3 MULTIPLE PLOTS 70 6.1.4 POLAR PLOTS 71 6.1.5 PLOTTING IMPLICIT FUNCTIONS 72 6.1.6 PLOTTING POINTS 73 6.1.7 TITLE AND TEXT IN A PLOT 74 6.1.8 PLOTTING OPTIONS 76 6.1.9 SAVING AND PRINTING A PLOT 79 6.1.10 OTHER PLOT FUNCTIONS 79 6.2 THREE-DIMENSIONAL PLOTTING 85 6.2.1 PARAMETRIC PLOTS 88 6.2.2 MULTIPLE PLOTS 88 6.2.3 SPACE CURVES 89 6.2.4 CONTOUR PLOTS 90 6.2.5 PLOTTING SURFACES DEFINED IMPLICITLY 91 6.2.6 TITLE AND TEXT IN A PLOT 92 6.2.7 THREE-DIMENSIONAL PLOTTING OPTIONS 92 6.2.8 OTHER THREE-DIMENSIONAL PLOT FUNCTIONS 95 6.3 ANIMATION 99 7. MAPLE PROGRAMMING 101 7.1 THE MAPLE PROCEDURE 101 7.1.1 LOCAL AND GLOBAL VARIABLES 102 7.2 CONDITIONAL STATEMENTS 103 7.2.1 BOOLEAN EXPRESSIONS 105 7.3 THE FOR LOOP 107 7.4 TYPE DECLARATION ILL 7.5 THE WHILE LOOP 112 7.6 RECURSIVE PROCEDURES 115 7.7 EXPLICIT RETURN 117 7.8 ERROR STATEMENT 118 7.9 ARGS AND NARGS :. 122 7.10 INPUT AND OUTPUT 123 7.10.1 FORMATTED OUTPUT 123 7.10.2 INTERACTIVE INPUT 125 7.10.3 READING COMMANDS FROM A FILE 127 7.10.4 READING DATA FROM A FILE 127 7.10.5. WRITING DATA TO A FILE 129 7.10.6 WRITING AND SAVING TO A FILE 129 7.11 GENERATING C AND FORTRAN CODE 131 . 7.12 VIEWING BUILT-IN MAPLE CODE 132 7.13 THE MAPLE INTERACTIVE DEBUGGER 132 7.14 WRITING YOUR OWN PACKAGES 135 7.14.1 PACKAGES AS TABLES 135 7.14.2 MODULES FOR PACKAGES 137 7.15 ANSWERS TO PROGRAMMING EXERCISES 141 8. DIFFERENTIAL EQUATIONS 147 8.1 SOLVING ORDINARY DIFFERENTIAL EQUATIONS 147 8.1.1 IMPLICIT SOLUTIONS 149 8.1.2 INITIAL CONDITIONS 149 8.1.3 SYSTEMS OF DIFFERENTIAL EQUATIONS 151 8.2 FIRST-ORDER DIFFERENTIAL EQUATIONS 151 8.2.1 ODEADVISOR 151 8.2.2 INTEGRATING FACTORS 154 8.2.3 DIRECTION FIELDS 155 8.3 NUMERICAL SOLUTIONS 157 8.4 SECOND- AND HIGHER ORDER LINEAR DES 159 8.4.1 CONSTANT COEFFICIENTS 159 8.4.2 VARIATION OF PARAMETERS 159 8.4.3 REDUCTION OF ORDER 160 8.5 SERIES SOLUTIONS 161 8.5.1 THE METHOD OF FROBENIUS 162 8.6 THE LAPLACE TRANSFORM 164 8.6.1 THE HEAVISIDE FUNCTION 165 8.6.2 THE DIRAC DELTA FUNCTION 168 8.7 THE DETOOLS PACKAGE 169 8.7.1 DE PLOTTING FUNCTIONS 169 8.7.2 DYNAMICAL SYSTEMS 170 8.7.3 DE MANIPULATION 170 8.7.4 LIE SYMMETRY METHODS 171 8.7.5 DIFFERENTIAL OPERATORS 171 8.7.6 CLOSED FORM SOLUTIONS 172 8.7.7 SIMPLIFYING DES AND RIFSIMP 172 9. LINEAR ALGEBRA 173 9.1 VECTORS, ARRAYS, AND MATRICES 173 9.1.1 MATRIX AND VECTOR ENTRY ASSIGNMENT 175 9.1.2 THE MATRIX AND VECTOR PALETTES 177 9.1.3 MATRIX OPERATIONS 178 9.1.4 MATRIX AND VECTOR CONSTRUCTION SHORTCUTS 180 9.1.5 VIEWING LARGE MATRICES AND VECTORS 182 9.2 MATRIX CONTEXT MENU 184 9.2.1 ^THE EXPORT AS SUBMENU 185 9.2.2 THE NORM SUBMENU 186 9.2.3 THE SELECT ELEMENT SUBMENU 186 9.2.4 THE SOLVERS SUBMENU 186 9.2.5 THE CONVERSIONS SUBMENU 187 9.2.6 THE IN-PLACE OPTIONS SUBMENU 188 9.3 ELEMENTARY ROW AND COLUMN OPERATIONS 189 9.4 GAUSSIAN ELIMINATION 191 9.5 INVERSES, DETERMINANTS, MINORS, AND THE ADJOINT 192 9.6 SPECIAL MATRICES AND VECTORS 193 9.6.1 BAND MATRIX 193 9.6.2 CONSTANT MATRICES AND VECTORS 193 9.6.3 DIAGONAL MATRICES 194 9.6.4 GIVENS ROTATION MATRICES 195 9.6.5 HANKEL MATRICES 195 9.6.6 HILBERT MATRICES 195 9.6.7 HOUSEHOLDER MATRICES 196 9.6.8 IDENTITY MATRIX 196 9.6.9 JORDAN BLOCK MATRICES 197 9.6.10 RANDOM MATRICES AND VECTORS 197 9.6.11 TOEPLITZ MATRICES 200 9.6.12 VANDERMONDE MATRICES 200 9.6.13 ZERO MATRICES AND VECTORS 201 9.7 SYSTEMS OF LINEAR EQUATIONS 201 9.8 ROW SPACE, COLUMN SPACE, AND NULLSPACE 205 9.9 EIGENVECTORS AND DIAGONALIZATION 207 9.10 JORDAN FORM 208 9.11 INNER PRODUCTS, AND VECTOR AND MATRIX NORMS 209 9.11.1 THE DOT PRODUCT AND BILINEAR FORMS 209 9.11.2 VECTOR NORMS 210 9.11.3 MATRIX NORMS 211 9.12 LEAST SQUARES PROBLEMS 212 9.13 QR-FACTORIZATION AND THE GRAM-SCHMIDT PROCESS 214 9.14 LU-FACTORIZATION 216 9.15 OTHER LINEAR ALGEBRA FUNCTIONS 218 9.16 THE LINALG PACKAGE 229 9.16.1 MATRICES AND VECTORS 230 9.16.2 CONVERSION BETWEEN LINALG AND LINEARALGEBRA 231 9.16.3 MATRIX OPERATIONS IN LINALG 233 9.16.4 THE FUNCTIONS IN THE LINALG PACKAGE 234 10. MULTIVARIABLE AND VECTOR CALCULUS 237 10.1 VECTORS 237 10.1.1 VECTOR OPERATIONS 237 10.1.2 LENGTH, DOT PRODUCT, AND CROSS PRODUCT 238 10.1.3 PLOTTING VECTORS 239 10.2 - LINES AND PLANES 241 10.2.1 LINES 241 10.2.2 PLANES 242 10.3 VECTOR-VALUED FUNCTIONS 244 10.3.1 DIFFERENTIATION AND INTEGRATION OF VECTOR FUNCTIONS 244 10.3.2 SPACE CURVES 245 10.3.2 TANGENTS AND NORMALS TO CURVES 247 10.3.3 CURVATURE 250 10.4 THE GRADIENT AND DIRECTIONAL DERIVATIVES 251 10.5 EXTREMA 252 10.5.1 LOCAL EXTREMA AND SADDLE POINTS 252 10.5.2 LAGRANGE MULTIPLIERS 254 10.6 MULTIPLE INTEGRALS 256 10.6.1 DOUBLE INTEGRALS 256 10.6.2 TRIPLE INTEGRALS 257 10.6.3 THE JACOBIAN 258 10.7 VECTOR FIELD 259 10.7.1 PLOTTING A VECTOR FIELD 259 10.7.2 DIVERGENCE AND CURL 259 10.7.3 POTENTIAL FUNCTIONS 260 10.8 LINE INTEGRALS 261 10.9 GREEN S THEOREM 262 10.10 SURFACE INTEGRALS 263 10.10.1 FLUX OF A VECTOR FIELD 265 10.10.2 STOKE S THEOREM 267 10.10.3 THE DIVERGENCE THEOREM 268 11. COMPLEX ANALYSIS 271 11.1 ARITHMETIC OF COMPLEX NUMBERS 271 11.2 POLAR FORM . 273 11.3 NTH ROOTS ?. 274 11.4 THE CAUCHY-RIEMANN EQUATIONS AND HARMONIC FUNCTIONS 275 11.5 ELEMENTARY FUNCTIONS 277 11.6 CONFORMAL MAPPING 279 11.7 TAYLOR SERIES AND LAURENT SERIES 282 11.8 CONTOUR INTEGRALS 286 11.9 RESIDUES AND POLES 287 12. OPENING, SAVING, AND EXPORTING WORKSHEETS 289 12.1 OPENING AH EXISTING WORKSHEET 289 12.2 SAVING A WORKSHEET 290 12.3 OPENING A MAPLE TEXT FILE 291 12.4 EXPORTING WORKSHEETS AND LATEX 292 13. DOCUMENT PREPARATION 295 13.1 ADDING TEXT 295 13.2 INSERTING MATH INTO TEXT 296 13.3 ADDING TITLES AND HEADINGS 296 13.4 CREATING A SUBSECTION 297 13.5 CUTTING AND PASTING 297 13.6 BOOKMARKS AND HYPERTEXT 298 14. MORE GRAPHICS 301 14.1 THE PLOTTOOLS PACKAGE 301 14.1.1 TWO-DIMENSIONAL PLOT OBJECTS 301 14.1.2 THREE-DIMENSIONAL PLOT OBJECTS 305 14.1.3 TRANSFORMATION OF PLOTS 311 14.2 THE GEOMETRY PACKAGE 318 14.3 THE GEOMSD PACKAGE 320 14.3.1 REGULAR POLYHEDRA 320 14.3.2 QUASI-REGULAR POLYHEDRA 323 14.3.3 THE ARCHIMEDEAN SOLIDS 324 15. SPECIAL FUNCTIONS 329 15.1 OVERVIEW OF MATHEMATICAL FUNCTIONS 329 15.2 BESSEL FUNCTIONS 332 15.3 THE GAMMA FUNCTION 333 15.4 HYPERGEOMETRIC FUNCTIONS 337 15.5 ELLIPTIC INTEGRALS 339 15.6 THE AGM 341 15.7 JACOBI S THETA FUNCTIONS 342 15.8 ELLIPTIC FUNCTIONS 343 15.9 THE RIEMANN ZETA-FUNCTION 345 15.10 ORTHOGONAL POLYNOMIALS 346 15.11 INTEGRAL TRANSFORMS 347 15.11.1 FOURIER TRANSFORMS 347 15.11.2 HILBERT TRANSFORM 349 15.11.3 MELLIN TRANSFORM 350 15.12 FAST FOURIER TRANSFORM 351 15.13 ASYMPTOTIC EXPANSION 353 16. STATISTICS 355 16.1 INTRODUCTION 355 16.2 DATA SETS 356 16.3 NUMERICAL METHODS FOR DESCRIBING DATA 357 16.3.1 DESCRIBING THE CENTER OF A DATA SET 357 16.3.2 DESCRIBING THE DISPERSION OF A DATA SET 359 16.3.3 DESCRIBING CHARACTERISTICS OF A DATA SET 363 16.4 TRANSFORMING DATA 368 16.5 GRAPHICAL METHODS FOR DESCRIBING DATA 372 16.5.1 HISTOGRAM 374 16.5.2 BOX PLOT 376 16.5.3 SCATTER PLOT 378 16.6 LINEAR REGRESSION 384 16.7 ANOVA 384 16.8 DISTRIBUTIONS -. 385 16.8.1 , EVALUATING DISTRIBUTIONS 385 16.8.2 GENERATING RANDOM DISTRIBUTIONS 387 17. OVERVIEW OF OTHER PACKAGES 389 17.1 FINITE FIELDS 390 17.2 POLYNOMIALS 393 17.3 GROUP THEORY 396 17.4 COMBINATORICS 401 17.4.1 THE COMBINAT PACKAGE 401 17.4.2 THE NETWORKS PACKAGE 407 17.4.3 THE COMBSTRUCT PACKAGE 410 17.5 NUMBER THEORY 411 17.5.1 THE NUMTHEORY PACKAGE 411 17.5.2 THE GAUSSLNT PACKAGE 419 17.5.3 P-ADIC NUMBERS 419 17.6 NUMERICAL APPROXIMATION 422 17.7 MISCELLANEOUS PACKAGES . 423 17.7.1 THE ALGCURVES PACKAGE 423 17.7.2 THE CODEGEN PACKAGE 423 17.7.3 THE DIFFALG PACKAGE 424 17.7.4 THE DIFFORMS PACKAGE 425 17.7.5 THE DOMAINS PACKAGE 425 17.7.6 THE FINANCE PACKAGE 425 17.7.7 THE GENFUNC PACKAGE 426 17.7.8 THE GEOMETRY PACKAGE 426 17.7.9 THE GEOMSD PACKAGE 429 17.7.10 THE GROEBNER PACKAGE 430 17.7.11 THE LIESYMM PACKAGE 431 17.7.12 THE LRETOOLS PACKAGE 431 17.7.13 THE ORE.ALGEBRA PACKAGE 432 17.7.14 THE PDETOOLS PACKAGE 433 17.7.15 THE POWSERIES PACKAGE 433 17.7.16 THE PROCESS PACKAGE 434 17.7.17 THE SIMPLEX PACKAGE 434 17.7.18 THE SLODE PACKAGE 434 17.7.19 THE SPREAD PACKAGE 435 17.7.20 THE SUMTOOLS PACKAGE 435 17.7.21 THE TENSOR PACKAGE 435 17.8 NEW PACKAGES 437 17.8.1 THE CURVEFITTING PACKAGE 437 17.8.2 THE EXTERNALCAILING PACKAGE 437 17.8.3 THE LINEARFUNCTIONALSYSTEMSPA.CKA.GE 437 17.8.4 THE LINEAROPERATORS PACKAGE 438 17.8.5 THE LISTTOOLS PACKAGE 438 17.8.6 THE MATHML PACKAGE 439 17.8.7 THE ORTHOGONALSERIES PACKAG E 439 17.8.8 .. THE RANDOMTOOLS PACKAGE 439 17.8.9 THE RATIONALNORMALFORMS PACKAGE 440 17.8.10 THE REALDOMAIN PACKAGE 440 17.8.11 THE SOCKETS PACKAGE 440 17.8.12 THE SOLVETOOLS PACKAGE 441 17.8.13 THE STRINGTOOLS PACKAGE 441 17.8.14 THE UNITS PACKAGE 442 17.8.15 THE XMLTOOLS PACKAGE 443 APPENDIX A MAPLE RESOURCES 445 THE MAPLE APPLICATION CENTER 445 THE MAPLE STUDENT CENTER 448 THE MAPLE SHARE LIBRARY 448 INTERESTING URLS 448 APPENDIX B GLOSSARY OF COMMANDS 451 APPENDIX C FURTHER READING 461 REFERENCES 463 INDEX . 465
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publisher	CRC/Chapman & Hall
record_format	marc
spelling	Garvan, Frank Verfasser aut The Maple book Frank Garvan Boca Raton, FL [u.a.] CRC/Chapman & Hall 2002 479 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple 7 (DE-588)4668070-6 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Handbuch (DE-588)4158977-4 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Maple Programm (DE-588)4209397-1 s DE-604 Maple 7 (DE-588)4668070-6 s Algebra (DE-588)4001156-2 s Handbuch (DE-588)4158977-4 s DE-188 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Garvan, Frank The Maple book Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Handbuch (DE-588)4158977-4 gnd Algebra (DE-588)4001156-2 gnd
subject_GND	(DE-588)4668070-6 (DE-588)4209397-1 (DE-588)4158977-4 (DE-588)4001156-2
title	The Maple book
title_auth	The Maple book
title_exact_search	The Maple book
title_full	The Maple book Frank Garvan
title_fullStr	The Maple book Frank Garvan
title_full_unstemmed	The Maple book Frank Garvan
title_short	The Maple book
title_sort	the maple book
topic	Maple (Computer file) Maple (computerprogramma) gtt Datenverarbeitung Algebra Data processing Maple 7 (DE-588)4668070-6 gnd Maple Programm (DE-588)4209397-1 gnd Handbuch (DE-588)4158977-4 gnd Algebra (DE-588)4001156-2 gnd
topic_facet	Maple (Computer file) Maple (computerprogramma) Datenverarbeitung Algebra Data processing Maple 7 Maple Programm Handbuch Algebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667335&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT garvanfrank themaplebook

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