Combinatorics an introduction
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| Format: | Buch |
| Sprache: | English |
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Hoboken, NJ
Wiley
2013
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| 245 | 1 | 0 | |a Combinatorics |b an introduction |c Theodore G. Faticoni |
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Datensatz im Suchindex
| _version_ | 1819659986454708224 |
|---|---|
| adam_text | COMBINATORICS
/ FATICONI, THEODORE GERARD
: 2012
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE XIII 1 LOGIC 1 1.1 FORMAL LOGIC 1 1.2 BASIC LOGICAL STRATEGIES 6
1.3 THE DIRECT ARGUMENT 10 1.4 MORE ARGUMENT FORMS 12 1.5 PROOF BY
CONTRADICTION 15 1.6 EXERCISES 23 2 SETS 25 2.1 SET NOTATION 25 2.2
PREDICATES 26 2.3 SUBSETS 28 2.4 UNION AND INTERSECTION 30 2.5 EXERCISES
32 3 VENN DIAGRAMS 35 3.1 INCLUSION/EXCLUSION PRINCIPLE 35 3.2 TWO
CIRCLE VENN DIAGRAMS 37 3.3 THREE SQUARE VENN DIAGRAMS 42 3.4 EXERCISES
50 4 MULTIPLICATION PRINCIPLE 55 4.1 WHAT IS THE PRINCIPLE? 55 4.2
EXERCISES 60 5 PERMUTATIONS 63 5.1 SOME SPECIAL NUMBERS 64 5.2
PERMUTATIONS PROBLEMS 65 5.3 EXERCISES 68 6 COMBINATIONS 69 6.1 SOME
SPECIAL NUMBERS 69 6.2 COMBINATION PROBLEMS 70 6.3 EXERCISES 74 7
PROBLEMS COMBINING TECHNIQUES 77 7.1 SIGNIFICANT ORDER 77 7.2 ORDER NOT
SIGNIFICANT 78 7.3 EXERCISES 83 8 ARRANGEMENT PROBLEMS 85 8.1 EXAMPLES
OF ARRANGEMENTS 86 8.2 EXERCISES 91 9 AT LEAST, AT MOST, AND OR 93 9.1
COUNTING WITH OR 93 9.2 AT LEAST, AT MOST 98 9.3 EXERCISES 102 10
COMPLEMENT COUNTING 103 10.1 THE COMPLEMENT FORMULA 103 10.2 A NEW VIEW
OF ?AT LEAST? 105 10.3 EXERCISES 109 11 ADVANCED PERMUTATIONS 111 11.1
VENN DIAGRAMS AND PERMUTATIONS 111 11.2 EXERCISES 120 12 ADVANCED
COMBINATIONS 125 12.1 VENN DIAGRAMS AND COMBINATIONS 125 12.2 EXERCISES
131 13 POKER AND COUNTING 133 13.1 WARM UP PROBLEMS 133 13.2 POKER HANDS
135 13.3 JACKS OR BETTER 141 13.4 EXERCISES 143 14 ADVANCED COUNTING 145
14.1 INDISTINGUISHABLE OBJECTS 145 14.2 CIRCULAR PERMUTATIONS 148 14.3
BRACELETS 151 14.4 EXERCISES 155 15 ALGEBRA AND COUNTING 157 15.1 THE
BINOMIAL THEOREM 157 15.2 IDENTITIES 160 15.3 EXERCISES 165 16
DERANGEMENTS 167 16.1 FIXED POINT THEOREMS 168 16.2 HIS OWN COAT 173
16.3 EXERCISES 174 17 PROBABILITY VOCABULARY 175 17.1 VOCABULARY 175 18
EQUALLY LIKELY OUTCOMES 181 18.1 EXERCISES 188 19 PROBABILITY TREES 189
19.1 TREE DIAGRAMS 189 19.2 EXERCISES 198 20 INDEPENDENT EVENTS 199 20.1
INDEPENDENCE 199 20.2 LOGICAL CONSEQUENCES OF INFLUENCE 202 20.3
EXERCISES 206 21 SEQUENCES AND PROBABILITY 209 21.1 SEQUENCES OF EVENTS
209 21.2 EXERCISES 215 22 CONDITIONAL PROBABILITY 217 22.1 WHAT DOES
CONDITIONAL MEAN? 217 22.2 EXERCISES 223 23 BAYES? THEOREM 225 23.1 THE
THEOREM 225 23.2 EXERCISES 230 24 STATISTICS 231 24.1 INTRODUCTION 231
24.2 PROBABILITY IS NOT STATISTICS 231 24.3 CONVERSATIONAL PROBABILITY
232 24.4 CONDITIONAL STATISTICS 239 24.5 THE MEAN 241 24.6 MEDIAN 242
24.7 RANDOMNESS 244 25 LINEAR PROGRAMMING 249 25.1 CONTINUOUS VARIABLES
249 25.2 DISCRETE VARIABLES 254 25.3 INCORRECTLY APPLIED RULES 258 26
SUBJECTIVE TRUTH 261 BIBLIOGRAPHY 267 INDEX 269 .
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Faticoni, Theodore G. 1954- |
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| author_facet | Faticoni, Theodore G. 1954- |
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| author_sort | Faticoni, Theodore G. 1954- |
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| building | Verbundindex |
| bvnumber | BV040706383 |
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| ctrlnum | (OCoLC)844027469 (DE-599)BVBBV040706383 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV040706383 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T03:05:53Z |
| institution | BVB |
| isbn | 9781118404362 |
| language | English |
| lccn | 2012025751 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025686803 |
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| physical | XIII, 313 S. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Wiley |
| record_format | marc |
| spellingShingle | Faticoni, Theodore G. 1954- Combinatorics an introduction |
| title | Combinatorics an introduction |
| title_auth | Combinatorics an introduction |
| title_exact_search | Combinatorics an introduction |
| title_full | Combinatorics an introduction Theodore G. Faticoni |
| title_fullStr | Combinatorics an introduction Theodore G. Faticoni |
| title_full_unstemmed | Combinatorics an introduction Theodore G. Faticoni |
| title_short | Combinatorics |
| title_sort | combinatorics an introduction |
| title_sub | an introduction |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025686803&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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