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Wester M.J. — Computer Algebra Systems: A Practical Guide
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Íàçâàíèå: Computer Algebra Systems: A Practical GuideÀâòîð: Wester M.J. Àííîòàöèÿ: This thorough overview of the major computer algebra (symbolic mathematical) systems compares and contrasts their strengths and weaknesses, and gives tutorial information for using these systems in various ways.
Compares different packages quantitatively using standard 'test suites' Ideal for assessing the most appropriate package for a particular user or application Examines the performance and future developments from a user's and developer's viewpoint Internationally recognized specialists overview both the general and special purpose systems and discuss issues such as denesting nested roots, complex number calculations, efficiently computing special polynomials, solving single equations and systems of polynomial equations, computing limits, multiple integration, solving ordinary differential and nonlinear evolution equations, code generation, evaluation and computer algebra in education. The historical origins, computer algebra resources and equivalents for many common operations in seven major packages are also covered.
By providing such a comprehensive survey, the experienced user is able to make an informed decision on which system(s) he or she might like to use. It also allows a user new to computer algebra to form an idea of where to begin.
Since each system looked at in this book uses a different language, many examples are included to aid the user in adapting to these language differences. These examples can be used as a guide to using the various systems once one understands the basic principles of one CAS. The book also includes contributions which look at the broad issues of the needs of various users and future developments, both from the user's and the developer's viewpoint.
The author is a leading figure in the development and analysis of mathematical software and is well known through the 'Wester test suite' of problems which provide a bench mark for measuring the performance of mathematical software systems. The book will help develop our range of titles for applied mathematcians.
The book will provide a unique, fully up-to-date and independent assessment of particular systems and will be of interest to users and purchasers of CAS's.
ßçûê: Ðóáðèêà: Computer science /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Óêàçàòåëü â ïðîöåññå çàïîëíåíèÿ ed2k: ed2k stats Ãîä èçäàíèÿ: 1999Êîëè÷åñòâî ñòðàíèö: 505Äîáàâëåíà â êàòàëîã: 11.02.2015Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Linear ordinary differential equations, solution of, input-driven methods 191 195—196 Linear ordinary differential equations, solution of, output-driven methods 191 198—200 Linear ordinary differential equations, solution of, transformation methods 196—198 Linear ordinary differential equations, variation-of-parameters method of solving 198 Liouvillian solutions [of differential solutions] 195 200 207 Lisp, "quote" operator 264 Lisp, evaluation procedure 258 259 264 269—270 Lisp, MuLisp dialect 280 Lisp, Scheme dialect 280 List element, synonyms 383 List generation, synonyms 384 List of expression operands, synonyms 387 List, synonyms 382 Literal constants, handling by CASs 241—242 Literal constants, meaning of term 241n[10] Load a file, synonyms 382 Logarithmic equations 105—109 Lord Byron, (George) see also "Lovelace Ada" Lord Byron, (George), character 329 Lord Byron, (George), daughter 324 329 Lovelace, Ada, Countess of, background and education 324 329 Lovelace, Ada, Countess of, on Babbage's Analytical Engine 325—326 329 330 Lovelace, Ada, Countess of, programming language named after 330n[5] Lovelock, David 303 306 Macaulay system 345 355 Macsyma Inc., address 17 336 Macsyma, capabilities 6 22—23 314—315 322 336 Macsyma, case-insensitivity 241n[9] Macsyma, code generation facilities 234 235 236 237 239 240 242 243 Macsyma, compiler in 333 Macsyma, conferences 379 Macsyma, educational use 314—315 Macsyma, evaluation in 264 266 267 269—271 274 279 Macsyma, general characteristics 336 358—359 Macsyma, graphics capabilities 6 20 322 Macsyma, help facilities 6 20 22 315 Macsyma, historical origins 357 Macsyma, implicit differentiation in 307 Macsyma, latest version (422.0) introduced 26 Macsyma, library-handling capabilities 2 Macsyma, manuals 362 Macsyma, newsletter 365 Macsyma, operating systems 336 355 Macsyma, origin of name 360 Macsyma, performance 7 8 13 41—60 Macsyma, performance, algebra 44—45 Macsyma, performance, Boolean logic 41 Macsyma, performance, Chebyshev polynomials 46 82—85 87—93 95—97 Macsyma, performance, code generation 42 238 Macsyma, performance, combinatorial theory 43 Macsyma, performance, complex analysis 34 46—47 Macsyma, performance, differentiation 13 54 Macsyma, performance, equations 21 48—49 103—110 112—119 Macsyma, performance, factoring of polynomials 13 Macsyma, performance, graphing 13 Macsyma, performance, inequalities 49—50 119 Macsyma, performance, integration 13 33—34 54—56 Macsyma, performance, limits computation 13 53—54 157 162 164 167 169 170 Macsyma, performance, matrix theory 50—52 Macsyma, performance, nonlinear equations 13 16 49 Macsyma, performance, number theory 43—44 Macsyma, performance, numbers 41—42 Macsyma, performance, numerical analysis/calculations 13 13 42 322 Macsyma, performance, operators 58—59 Macsyma, performance, ordinary differential equations 13 57—58 192—193 199 202—204 206 209 Macsyma, performance, partial differential equations 58 Macsyma, performance, pattern matching 60 Macsyma, performance, polynomial systems solution 103 126 127 129 132 133 134 135 136 137 138 140 142 143—145 Macsyma, performance, products 53 Macsyma, performance, programming operations 59 Macsyma, performance, recursion relations 13 Macsyma, performance, series 13 56—57 Macsyma, performance, set theory 41 Macsyma, performance, simplifications 13 28 29 33 43 44 Macsyma, performance, special functions 46 Macsyma, performance, statistics 43 Macsyma, performance, sums 13 52—53 Macsyma, performance, tensor analysis 52 Macsyma, performance, transforms 57 Macsyma, performance, trigonometries 45—46 115 117 Macsyma, performance, vector analysis 50 Macsyma, performance, zero equivalence determination 47—48 Macsyma, price/cost 17 22 23 Macsyma, problem-handling capabilities 2 Macsyma, routine-calling capability 235 Macsyma, rule ordering in 282 283 Macsyma, synonyms for, code generation 251—252 382 Macsyma, synonyms for, graphics operations 394 Macsyma, synonyms for, mathematical operations 149 388—394 Macsyma, synonyms for, programming operations 381—388 Macsyma, user interface 6 19 22 Macsyma, word processing capabilities 322 Magma 346 Magma, conferences/workshops 379 Magma, operating systems 346 355 Magnus system 343 355 Main expression operator, synonyms 387 Manipulation of root of a polynomial, synonyms 390 Manuals 30—31 362—363 Manuals, indices 30 Maple, algebraic geometry package 347 Maple, capabilities 8 23—24 315—316 322 337 Maple, case-sensitivity 241 Maple, code generation facilities 234 235 236—241 237 243—244 Maple, compared with other CASs 1 7 Maple, conferences 379—380 Maple, data input formats 300 Maple, educational use 294 300 308 312 315—316 Maple, evaluation in 264 266 267 271—275 279 Maple, general characteristics 337 358—359 Maple, graphics capabilities 8 19 20 23 322 Maple, help facilities 316 Maple, integrability tests 229 232 Maple, kernel in other products 10 337 Maple, language syntax 8 31 Maple, latest version (V Release 5.1) introduced 23 26 145 Maple, library-handling capabilities 2 23—24 Maple, manuals 272—273 362 Maple, Newsletter 365 Maple, operating systems 337 355 Maple, origin of name 360 Maple, parallel functionality in 333 338 Maple, performance 7 8 10 13 41—60 Maple, performance, algebra 44—45 Maple, performance, Boolean logic 41 Maple, performance, Chebyshev polynomials 46 82 84—85 87—93 95—97 Maple, performance, code generation 42 238 Maple, performance, combinatorial theory 43 Maple, performance, complex analysis 34 46—47 Maple, performance, differentiation 13 54 Maple, performance, equations 27 48—49 103—120 Maple, performance, factoring of polynomials 13 Maple, performance, graphing 13 Maple, performance, inequalities 49—50 119 Maple, performance, integration 13 14 54—56 Maple, performance, limits computation 13 53—54 156 157 158 159 160 161 164 167 169 Maple, performance, matrix theory 50—52 248—249 Maple, performance, nonlinear equations 13 49 Maple, performance, number theory 43—44 Maple, performance, numbers 41—42 Maple, performance, numerical analysis/calculations 13 42 322 Maple, performance, operators 58—59 Maple, performance, ordinary differential equations 13 57—58 193 195—197 199 201 203 206—209 Maple, performance, partial differential equations 58 Maple, performance, pattern matching 60 Maple, performance, polynomial systems solution 103 127 128 130 131 133 134 135 136 137 141 142 145—146 Maple, performance, products 53 Maple, performance, programming operations 59 Maple, performance, recursion relations 13 Maple, performance, series 13 56—57 Maple, performance, set theory 41 Maple, performance, simplifications 13 28 29 33 43 44 Maple, performance, special functions 46 Maple, performance, statistics 43 Maple, performance, sums 13 52—53 Maple, performance, tensor analysis 52 Maple, performance, transforms 57 Maple, performance, trigonometries 45—46 115 117 Maple, performance, vector analysis 50 Maple, performance, zero equivalence determination 47—48 Maple, price/cost 18 23 Maple, spreadsheet capability 24 304 Maple, Student package 294 315 Maple, surd function 61n[2] Maple, synonyms for, code generation 252—253 382 Maple, synonyms for, graphics operations 394 Maple, synonyms for, mathematical operations 149—150 388—394 Maple, synonyms for, programming operations 381—388 Maple, user interface 7—8 23 Maple, word processing capabilities 315—316 322 Mapping anonymous function onto a list, synonyms 386 MAs 339 355 Math Rabbit 294 Math reform 287—289 see Math reform, calculus textbooks 293 299 Math reform, compared with traditional methods 286—289 Math reform, disadvantages 289 Math reform, example experiment 287—288 Math reform, role of CAS 288—289 306 Math reform, synthesis with traditional format 289—290 Math reform, tutorials 294 Mathcad 10 300 316—317 322 337 338 MathCAD, operating systems 338 355 MathCode C++ 333 340 Mathematica, capabilities 9 317—318 322 340 Mathematica, case-sensitivity 241 Mathematica, code generation facilities 235 237 237 242 Mathematica, compiler in 333 Mathematica, conferences 380 Mathematica, educational use 317—318 Mathematica, evaluation in 266 267 274 275—278 279 Mathematica, Feynman diagram package 349 Mathematica, general characteristics 340 358—359 Mathematica, geometric modeling 181—189 Mathematica, graphics capabilities 9 19 322 Mathematica, help facilities 317 Mathematica, integrability package 212 217—218 226—228 229 232 Mathematica, journals 365 Mathematica, language syntax 9 262 Mathematica, latest version (3.0) introduced 1—2 9 26 146 Mathematica, library-handling capabilities 2 Mathematica, manuals 9 363 Mathematica, matrix operations 50—52 265 Mathematica, operating systems 340 355 Mathematica, origin of name 360 Mathematica, parallel functionality in 333 340 Mathematica, performance 7 8 10 13 41—60 Mathematica, performance, algebra 44—45 Mathematica, performance, Boolean logic 41 Mathematica, performance, Chebyshev polynomials 46 82—85 87—93 95—97 Mathematica, performance, code generation 42 238 Mathematica, performance, combinatorial theory 43 Mathematica, performance, complex analysis 34 46—47 Mathematica, performance, differentiation 13 54 Mathematica, performance, equations 27 48—49 103—120 Mathematica, performance, factoring of polynomials 13 Mathematica, performance, graphing 13 Mathematica, performance, inequalities 49—50 119 Mathematica, performance, integration 13 14 54—56 Mathematica, performance, limits computation 13 53—54 155 157 164 165 167 169 170 Mathematica, performance, matrix theory 50—52 Mathematica, performance, nonlinear equations 13 16 49 Mathematica, performance, number theory 43—44 Mathematica, performance, numbers 41—42 Mathematica, performance, numerical analysis/calculations 13 42 322 Mathematica, performance, operators 58—59 Mathematica, performance, ordinary differential equations 13 57—58 193 198 201—202 203—204 205 206 209 Mathematica, performance, partial differential equations 58 Mathematica, performance, pattern matching 60 Mathematica, performance, polynomial systems solution 103 126 127 129 130 132 133 134 135 136 137 138 140 142 146—147 Mathematica, performance, products 53 Mathematica, performance, programming operations 59 Mathematica, performance, recursion relations 13 Mathematica, performance, series 13 56—57 Mathematica, performance, set theory 41 Mathematica, performance, simplifications 13 14 28 29 33 43 44 Mathematica, performance, special functions 46 Mathematica, performance, statistics 43 Mathematica, performance, sums 13 15 52—53 Mathematica, performance, tensor analysis 52 Mathematica, performance, transforms 57 Mathematica, performance, trigonometries 45—46 115 117 Mathematica, performance, vector analysis 50 Mathematica, performance, zero equivalence determination 47—48 Mathematica, price/cost 18 Mathematica, routine-calling capability 235 Mathematica, rule ordering in 282 283 Mathematica, synonyms for, code generation 253 382 Mathematica, synonyms for, graphics operations 394 Mathematica, synonyms for, mathematical operations 150 388—394 Mathematica, synonyms for, programming operations 381—388 Mathematica, tensor analysis packages 349 350 Mathematica, Usenet newsgroup 361 Mathematica, user interface 2 Mathematica, word processing capabilities 322 Mathematical constants and operations, CA synonyms for 388—394 Mathematics education see also "Computer classroom instruction" "Math "Students" Mathematics education, current state of affairs (in USA) 290—296 Mathematics education, distance learning 304 Mathematics education, external problems 302—304 Mathematics education, instructional strategies 286—290 Mathematics education, instructional strategies, synthesis between traditional and reform formats 289—290 Mathematics education, instructional strategies, traditional format vs math reform 286—289 Mathematics education, instructional techniques 297—298 Mathematics education, problems and challenges, curriculum 298—299 Mathematics education, problems and challenges, hardware 300 Mathematics education, problems and challenges, institutions 301—302 Mathematics education, problems and challenges, instructional techniques 297—298 Mathematics education, problems and challenges, instructors 296—297 Mathematics education, problems and challenges, software 299—300 Mathematics education, problems and challenges, students 298 Mathematics education, problems and challenges, technological complex/interaction 302 Mathematics education, solutions 304—309 Mathematics education, solutions, dialog between developers and users 305 Mathematics education, solutions, instructional formats 305—306 Mathematics education, solutions, Step Option approach 307—309 Mathlab 333 357 MathLink [facility in Mathematica] 235 340 see MathLink [facility in Mathematica], MathPlus 333 340 MathSoft, address 17 338 MathSoft, CASs from 10 17 337 338 MathTensor package 350 MathView 10 306 308 318 322 340 MathView, operating systems 340 355 MathWorks, address 17 338 MathWorks, CASs from 10 17 337 338 MATLAB 10 31 337 338 MATLAB, matrix operations notation 31—32 247n[15] Matrices, confusion with arrays 265 Matrices, generation of, performance of various CASs 13 50 Matrices, generation of, synonyms for 382 Matrices, generation of, test problem 16 Matrices, translation of, into C 238 Matrices, translation of, into Fortran 237 Matrix column dimension, synonyms 383 Matrix element, synonyms 383 Matrix inversion, performance of various CASs 13 248—249 Matrix inversion, test problem 12 Matrix operations 265 Matrix operations, MATLAB notation 31—32 247n[15]
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