Mathematical computing: an introduction to programming using Maple
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Berlin ; Heidelberg
Springer
2002
[Santa Clara, Calif.] TELOS |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 405 - 407 |
| Physical Description: | XII, 412 S. graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 0387953310 |
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MARC
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Record in the Search Index
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| adam_text | DAVID BETOUNES MYLAN REDFERN MATHEMATICAL COMPUTING AN INTRODUCTION TO
PROGRAMMING USING MAPLE CD-ROM INCLUDED CONTENTS PREFACE V 1
PRELIMINARIES 1 1.1 MAPLE AS A PROGRAMMING LANGUAGE 1 1.2 ANALYZING
PROGRAMMING TASKS 2 1.3 DOCUMENTATION AND CODING 7 1.4 MAPLE/CALCULUS
NOTES 12 1.4.1 BASIC SYNTAX 12 1.4.2 DERIVATIVES IN MAPLE 13 1.4.3
INTEGRALS IN MAPLE 13 1.4.4 COMBINING PLOTS 14 2 BASIC ASPECTS OF MAPLE
17 2.1 VARIABLES AND CONSTANTS 17 2.2 EXPRESSIONS AND ASSIGNMENTS 19 2.3
NOTATION IN MATHEMATICS AND IN MAPLE 20 2.4 SEQUENCES, LISTS, SETS, AND
ARRAYS 21 2.5 THE DO LOOP 25 2.6 PROCEDURES: A FIRST GLANCE 28 2.7
EVALUATION RULES 32 2.8 MAPLE/CALCULUS NOTES 37 2.8.1 PLANES CURVES
GIVEN IMPLICITLY 37 2.8.2 PLANE CURVES GIVEN PARAMETRICALLY 39 3 LOOPING
AND REPETITION 41 3.1 THE BASIC LOOP 41 3.2 THE DO LOOP WITH ALL ITS
FEATURES 50 3.2.1 THE FOR-FROM LOOP 51 3.2.2 THE FOR-IN LOOP 54 3.3 CASE
STUDY: ITERATED MAPS 55 IX X CONTENTS 3.4 MAPLE/CALCULUS NOTES 68 3.4.1
RIEMANN SUMS AND THE DEFINITE INTEGRAL 68 4 CONDITIONALS - FLOW OF
CONTROL 71 4.1 LOGIC IN MATHEMATICS 71 4.2 RELATIONAL AND LOGICAL
OPERATORS 73 4.3 BOOLEAN EXPRESSIONS 74 4.4 THE IF-THEN-ELSE STATEMENT
74 4.5 THE IF-THEN-ELIF-THEN STATEMENT 77 4.6 CASE STUDY: RIEMANN SUMS
FOR A DOUBLE INTEGRAL 85 4.7 MAPLE/CALCULUS NOTES 97 4.7.1 INTERIORS AND
EXTERIORS OF TRIANGLES 97 4.7.2 RIEMANN (DOUBLE) SUMS AND DOUBLE
INTEGRALS . . . . 100 4.7.3 DOUBLE INTEGRALS IN MAPLE 103 5 PROCEDURES
105 5.1 MAPLE S PROCEDURE STATEMENT 106 5.1.1 ASPECTS OF THE PROCEDURE
DEFINITION 108 5.1.2 ASPECTS OF THE PROCEDURE CALL 110 5.2 PROCEDURES -
SOME DETAILS ILL 5.2.1 EVALUATION WITHIN A PROCEDURE 115 5.2.2
PARAMETERS AND LOCAL VARIABLES 119 5.3 GROUPS OF RELATED PROCEDURES 123
5.4 CASE STUDY: TRIG INTEGRALS 129 5.5 MAPLE/CALCULUS NOTES 143 5.5.1
VECTOR METHODS IN GEOMETRY 143 6 DATA STRUCTURES 149 6.1 EXPRESSIONS AND
OPERANDS 150 6.2 QUOTES AND STRINGS 157 6.3 NUMBERS 158 6.4 LISTS:
VECTOR METHODS IN GEOMETRY 163 6.5 ARRAYS AND TABLES 169 6.6 SETS: THE
CANTOR SET AND LIMITING COVERS 173 6.7 POLYNOMIALS 185 6.8 CASE STUDY:
PARTIAL FRACTIONS 190 7 GRAPHICS PROGRAMMING 203 7.1 PRELIMINARY
EXAMPLES 204 7.2 MAPLE S PLOT STRUCTURES 211 CONTENTS XI 7.3
APPROXIMATING CURVES AND SURFACES 215 7.3.1 APPROXIMATING CURVES 215
7.3.2 APPROXIMATING SURFACES 223 7.4 THE GRID AND MESH OBJECTS 228 7.4.1
THE GRID OBJECT 228 7.4.2 THE MESH OBJECT 232 7.5 ANIMATIONS 235 7.5.1
THE DISPLAY AND ANIMATE COMMANDS 238 7.6 MAPLE/CALCULUS NOTES 257 7.6.1
PARAMETRIC REPRESENTATIONS OF CURVES AND SURFACES 257 7.6.2 IMPLICIT
REPRESENTATIONS OF CURVES AND SURFACES 261 8 RECURSION 265 8.1
RECURRENCE RELATIONS - SERIES SOLUTIONS 265 8.2 REDUCTION FORMULAS FOR
INTEGRATION 271 8.3 SORTING 274 8.3.1 BUBBLE SORT 277 8.3.2 THE QUICK
SORT ALGORITHM 279 8.4 NUMBERS 296 8.4.1 NUMBERS IN MATHEMATICS 296
8.4.2 BASE N REPRESENTATIONS OF NUMBERS 299 8.4.3 NUMBERS IN PROGRAMMING
308 8.5 MAPLE/CALCULUS NOTES 323 8.5.1 REAL NUMBERS 323 9 PROGRAMMING
PROJECTS 329 9.1 PROJECTS ON CRYSTAL GROWTH 329 9.1.1 SAMPLE PROJECT:
SQUARES ON SQUARES 330 9.1.2 PROJECT: CRYSTAL GROWTH (SQUARES) 335 9.1.3
PROJECT: CRYSTAL GROWTH (ISOSCELES, RIGHT TRIANGLES) . 338 9.1.4
PROJECT: CRYSTAL GROWTH (EQUILATERAL TRIANGLES) ... 339 9.1.5 PROJECT:
CRYSTAL GROWTH (THE KOCH SNOWFLAKE) . . . . 339 9.1.6 PROJECT: CRYSTAL
GROWTH (SQUARES AND TRIANGLES) . . . 339 9.2 PROJECTS ON INSCRIBED
POLYGONS 340 9.2.1 SAMPLE PROJECT: SEQUENCES OF TRIANGLES 341 9.2.2
PROJECT: ASYMPTOTICS OF THE TRIANGLE SEQUENCE . . . . 348 9.2.3 PROJECT:
SEQUENCES OF QUADRILATERALS 353 9.2.4 PROJECT: SEQUENCES OF POLYGONS 359
XII CONTENTS 9.3 PROJECTS ON RANDOM WALKS 365 9.3.1 SAMPLE PROJECT:
SIMULATING A BASIC RANDOM WALK 366 9.3.2 SAMPLE PROJECT: RANDOM WALK IN
A SQUARE 368 9.3.3 SAMPLE PROJECT: BASIC RANDOM WALK IN A DISK . . . .
372 9.3.4 PROJECT: RANDOM WALKS - OTHER BOUNDARIES AND VARI- ATIONS 376
9.3.5 RANDOM WALKS IN 3-DIMENSIONS 378 9.3.6 PROJECT: WALKING IN A
RANDOM DIRECTION 379 9.4 PROJECTS ON NEWTON S SECOND LAW 381 9.4.1
SAMPLE PROJECT: MOTION NEAR THE EARTH S SURFACE . . . 382 9.4.2 PROJECT:
1-BODY PLANAR MOTION 387 9.4.3 PROJECT: N-BODY PLANAR MOTION 389 A MAPLE
REFERENCE 393 A.I EXPRESSIONS AND FUNCTIONS 393 A.2 PLOTTING AND
VISUALIZATION 396 A.3 PROGRAMMING 401 A.4 PACKAGES 403 BIBLIOGRAPHY 405
INDEX 409
|
| any_adam_object | 1 |
| author | Betounes, David Redfern, Mylan |
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| dewey-full | 005.13/3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 005 - Computer programming, programs, data, security |
| dewey-raw | 005.13/3 |
| dewey-search | 005.13/3 |
| dewey-sort | 15.13 13 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
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| indexdate | 2024-07-09T18:59:30Z |
| institution | BVB |
| isbn | 0387953310 |
| language | English |
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| physical | XII, 412 S. graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer TELOS |
| record_format | marc |
| spelling | Betounes, David Verfasser aut Mathematical computing an introduction to programming using Maple David Betounes ; Mylan Redfern New York ; Berlin ; Heidelberg Springer 2002 [Santa Clara, Calif.] TELOS XII, 412 S. graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 405 - 407 Maple (Computer file) Maple (computerprogramma) gtt Mathematische programmering gtt Programmatuurtechniek gtt Computer programming Programmierung (DE-588)4076370-5 gnd rswk-swf Graphische Programmierung (DE-588)4337137-1 gnd rswk-swf Maple Programm (DE-588)4209397-1 gnd rswk-swf Programmierung (DE-588)4076370-5 s Maple Programm (DE-588)4209397-1 s DE-604 Graphische Programmierung (DE-588)4337137-1 s Redfern, Mylan Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009735701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Betounes, David Redfern, Mylan Mathematical computing an introduction to programming using Maple Maple (Computer file) Maple (computerprogramma) gtt Mathematische programmering gtt Programmatuurtechniek gtt Computer programming Programmierung (DE-588)4076370-5 gnd Graphische Programmierung (DE-588)4337137-1 gnd Maple Programm (DE-588)4209397-1 gnd |
| subject_GND | (DE-588)4076370-5 (DE-588)4337137-1 (DE-588)4209397-1 |
| title | Mathematical computing an introduction to programming using Maple |
| title_auth | Mathematical computing an introduction to programming using Maple |
| title_exact_search | Mathematical computing an introduction to programming using Maple |
| title_full | Mathematical computing an introduction to programming using Maple David Betounes ; Mylan Redfern |
| title_fullStr | Mathematical computing an introduction to programming using Maple David Betounes ; Mylan Redfern |
| title_full_unstemmed | Mathematical computing an introduction to programming using Maple David Betounes ; Mylan Redfern |
| title_short | Mathematical computing |
| title_sort | mathematical computing an introduction to programming using maple |
| title_sub | an introduction to programming using Maple |
| topic | Maple (Computer file) Maple (computerprogramma) gtt Mathematische programmering gtt Programmatuurtechniek gtt Computer programming Programmierung (DE-588)4076370-5 gnd Graphische Programmierung (DE-588)4337137-1 gnd Maple Programm (DE-588)4209397-1 gnd |
| topic_facet | Maple (Computer file) Maple (computerprogramma) Mathematische programmering Programmatuurtechniek Computer programming Programmierung Graphische Programmierung Maple Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009735701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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