Introduction to computational science and mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Sudbury, Mass. [u.a.]
Jones and Bartlett
1996
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| Schriftenreihe: | The Jones and Bartlett series in computational science and applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXV, 558 S. graph. Darst. |
| ISBN: | 0867204737 |
Internformat
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Datensatz im Suchindex
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| adam_text |
INTRODUCTION TO COMPUTATIONAL SCIENCE AND MATHEMATICS CHARLES F. VAN
LOAN DEPARTMENT OF COMPUTER SCIENCE CORNELL UNIVERSITY JONES AND
BARTLETT PUBLISHERS SUDBURY, MASSACHUSETTS F BOSTON LONDON SINGAP'ORE
CONTENTS ACKNOWLEDGMENTS IX MATHEMATICAL FACTS XI PREFACE XVII FROM
FORMULA TO PROGRAM 1.1 A SMALL EXAMPLE 2 1.2 SINES AND COSINES 10 1.3
MAX'S AND MIN'S 15 1.4 FORMULAS THAT INVOLVE INTEGERS 19 2I NUMERICAL
EXPLORATION 25 2.1 DISCOVERING LIMITS 26 2.2 CONFIRMING CONJECTURES 35
2.3 THE FLOATING POINT TERRAIN 39 2.4 INTERACTIVE FRAMEWORKS 45 O
ELEMENTARY GRAPHICS * 49 3.1 GRIDS 49 3.2 RECTANGLES AND OVALS 59 3.3
GRANULARITY 67 4 SEQUENCES 75 4.1 SUMMATION 76 4.2 RECURSIONS 83 O
RANDOM SIMULATIONS 89 5.1 GENERATING RANDOM REALS AND INTEGERS 89 5.2
ESTIMATING PROBABILITIES AND AVERAGES 96 5.3 MONTE CARLO 101 6 FAST,
FASTER, FASTEST 103 6.1 BENCHMARKING 103 6.2 EFFICIENCY 108 VI CONTENTS
I EXPONENTIAL GROWTH 115 7.1 POWERS 116 7.2 BINOMIAL COEFFICIENTS 127 8
PATTERNS 137 8.1 ENCAPSULATION 137 8.2 HIERARCHY 145 9 PROXIMITY 161 9.1
DISTANCE 162 9.2 INCLUSION 169 9.3 COLLINEARITY 174 10 ROOTS 181 10.1
QUADRATIC EQUATIONS 182 10.2 THE METHOD OF BISECTION 188 10.3 THE METHOD
OF NEWTON 193 X JL AREA 201 11.1 TRIANGULATION 201 11.2 TILING 206 11.3
INTEGRATION 210 \.2T ENCODING INFORMATION 215 12.1 NOTATION AND
REPRESENTATION 215 12.2 PLACE VALUE 224 XO VISUALIZATION 235 13.1
EXPLORATORY ENVIRONMENTS 235 13.2 COORDINATE SYSTEMS 246 CONTENTS VII 14
POINTS IN THE PLANE 259 14.1 CENTROIDS 260 14.2 MAX'S AND MIN'S 272 15
TABLES 287 15.1 SET-UP 288 15.2 PLOTTING 294 15.3 EFFICIENCY ISSUES 300
15.4 LOOK-UP 310 16 DIVISORS 317 16.1 THE PRIME NUMBERS 317 16.2 THE
APPORTIONMENT PROBLEM 325 17 THE SECOND DIMENSION 331 17.1 "IF THINKING
332 17.2 OPERATIONS 342 17.3 TABLES IN TWO DIMENSIONS 349 17.4 BIT MAPS
353 18 POLYGONS 359 18.1 POINTS 359 18.2 LINE SEGMENTS 371 18.3
TRIANGLES AND RECTANGLES 376 18.4 JV-GQNS 379 SPECIAL ARITHMETICS 385
19.1 THE EXTRA LONG INTEGER 386 19.2 THE RATIONAL 392 19.3 THE COMPLEX
397 VIII CONTENTS POLYNOMIALS 405 20.1 REPRESENTATION AND OPERATIONS ,
405 20.2 EVALUATION 415 20.3 QUOTIENTS 418 2T 1 PERMUTATIONS 423 21.1
SHIFTS AND SHUFFLES 424 21.2 SORTING 427 21.3 REPRESENTATION 443 2I 2I
OPTIMIZATION 449 22.1 SHORTEST PATH 450 22.2 BEST DESIGN 458 22.3
SMALLEST ELLIPSE 465 2IO DIVIDE AND CONQUER 475 23.1 RECURSION VS.
ITERATION 476 23.2 REPEATED HALVING 480 23.2 MESH REFINEMENT 489 24
MODELS AND SIMULATION 499 24.1 PREDICTION AND INTUITION 500 24.2 THE
EFFECT OF DIMENSION 510 24.3 BUILDING MODELS FROM DATA 517 APPENDIX I:
SYNOPSIS OF THINK PASCAL UNITS 529 INDEX 555 |
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| indexdate | 2024-08-21T00:17:02Z |
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| isbn | 0867204737 |
| language | English |
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| publishDate | 1996 |
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| publisher | Jones and Bartlett |
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| series2 | The Jones and Bartlett series in computational science and applied mathematics |
| spelling | Van Loan, Charles F. Verfasser aut Introduction to computational science and mathematics Charles F. VanLoan Sudbury, Mass. [u.a.] Jones and Bartlett 1996 XXV, 558 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Jones and Bartlett series in computational science and applied mathematics Computerwiskunde gtt Informatik Mathematik Computer programming Computer science Mathematics Programmierung (DE-588)4076370-5 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 s DE-604 Mathematik (DE-588)4037944-9 s Programmierung (DE-588)4076370-5 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007368383&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Van Loan, Charles F. Introduction to computational science and mathematics Computerwiskunde gtt Informatik Mathematik Computer programming Computer science Mathematics Programmierung (DE-588)4076370-5 gnd Mathematik (DE-588)4037944-9 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| subject_GND | (DE-588)4076370-5 (DE-588)4037944-9 (DE-588)4338507-2 |
| title | Introduction to computational science and mathematics |
| title_auth | Introduction to computational science and mathematics |
| title_exact_search | Introduction to computational science and mathematics |
| title_full | Introduction to computational science and mathematics Charles F. VanLoan |
| title_fullStr | Introduction to computational science and mathematics Charles F. VanLoan |
| title_full_unstemmed | Introduction to computational science and mathematics Charles F. VanLoan |
| title_short | Introduction to computational science and mathematics |
| title_sort | introduction to computational science and mathematics |
| topic | Computerwiskunde gtt Informatik Mathematik Computer programming Computer science Mathematics Programmierung (DE-588)4076370-5 gnd Mathematik (DE-588)4037944-9 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| topic_facet | Computerwiskunde Informatik Mathematik Computer programming Computer science Mathematics Programmierung Wissenschaftliches Rechnen |
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