A beginner's guide to discrete mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2003
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 367 S. graph. Darst. |
| ISBN: | 9780817642693 3764342692 0817642692 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | W.D. WALLIS A BEGINNER S GUIDE TO DISCRETE MATHEMATICS BIRKHAEUSER BOSTON
* BASEL * BERLIN CONTENTS PREFACE V 1 PROPERTIES OF NUMBERS 1 1.1
NUMBERS 2 1.2 SUMS 9 1.3 BASES 14 1.4 SCIENTIFIC NOTATION 20 1.5
ARITHMETIC IN COMPUTERS 24 2 SETS AND DATA STRUCTURES 31 2.1
PROPOSITIONS AND LOGIC 31 2.2 ELEMENTS OF SET THEORY 38 2.3 PROOFS IN
SET THEORY 44 2.4 SOME FURTHER SET OPERATIONS 51 2.5 MATHEMATICAL
INDUCTION 56 3 BOOLEAN ALGEBRAS AND CIRCUITS 65 3.1 BOOLEAN ALGEBRA 65 X
CONTENTS 3.2 BOOLEANFORMS 71 3.3 FINDING MINIMAL DISJUNCTIVE FORMS 77
3.4 DIGITAL CIRCUITS 84 4 RELATIONS AND FUNCTIONS 91 4.1 RELATIONS 91
4.2 SOME SPECIAL KINDS OF RELATIONS 98 4.3 FUNCTIONS 103 5 THE THEORY OF
COUNTING 111 5.1 EVENTS 112 5.2 UNIONS OF EVENTS 119 5.3 ONE-TO-ONE
CORRESPONDENCES AND INFINITE SETS 126 5.4 ARRANGEMENT PROBLEMS 130 5.5
SELECTIONS 136 5.6 THE BINOMIAL THEOREM AND ITS APPLICATIONS 145 5.7
SOME FURTHER COUNTING RESULTS 149 6 PROBABILITY 155 6.1 PROBABILITY
MEASURES 156 6.2 REPEATED EXPERIMENTS 167 6.3 COUNTING AND PROBABILITY
175 6.4 CONDITIONAL PROBABILITIES 181 6.5 BAYES FORMULA AND
APPLICATIONS 193 7 GRAPH THEORY 205 7.1 INTRODUCTION TO GRAPHS 205 7.2
THE KOENIGSBERG BRIDGES; TRAVERSABILITY 212 7.3 WALKS, PATHS AND CYCLES
221 7.4 DISTANCES AND SHORTEST PATHS 225 7.5 TREES 231 7.6 HAMILTONIAN
CYCLES 239 7.7 THE TRAVELING SALESMAN PROBLEM 244 CONTENTS XI 8 MATRICES
251 8.1 VECTORS AND MATRICES 251 8.2 PROPERTIESOFTHE MATRIX PRODUCT 259
8.3 SYSTEMS OF LINEAR EQUATIONS 265 8.4 MORE ABOUT LINEAR SYSTEMS AND
INVERSES 272 8.5 ADJACENCY MATRICES 279 9 NUMBER THEORY AND CRYPTOGRAPHY
285 9.1 SOME ELEMENTARY NUMBER THEORY 286 9.2 MODULAR ARITHMETIC 291 9.3
AN INTRODUCTION TO CRYPTOGRAPHY 298 9.4 SUBSTITUTION CIPHERS 305 9.5
MODERN CRYPTOGRAPHY 310 9.6 ATTACKS ON THE RSA SYSTEM 317 9.7 OTHER
CRYPTOGRAPHIC IDEAS 323 SOLUTIONS TO PRACTICE EXERCISES 327 ANSWERS TO
SELECTED EXERCISES 353 INDEX 363
|
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| discipline | Mathematik |
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| isbn | 9780817642693 3764342692 0817642692 |
| language | English |
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| physical | XI, 367 S. graph. Darst. |
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| spelling | Wallis, Walter D. 1941- Verfasser (DE-588)135619173 aut A beginner's guide to discrete mathematics W. D. Wallis Boston [u.a.] Birkhäuser 2003 XI, 367 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Informatique - Mathématiques Mathématiques Informatik Mathematik Computer science Mathematics Mathematics Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Diskrete Mathematik (DE-588)4129143-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010198570&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wallis, Walter D. 1941- A beginner's guide to discrete mathematics Informatique - Mathématiques Mathématiques Informatik Mathematik Computer science Mathematics Mathematics Diskrete Mathematik (DE-588)4129143-8 gnd |
| subject_GND | (DE-588)4129143-8 (DE-588)4123623-3 |
| title | A beginner's guide to discrete mathematics |
| title_auth | A beginner's guide to discrete mathematics |
| title_exact_search | A beginner's guide to discrete mathematics |
| title_full | A beginner's guide to discrete mathematics W. D. Wallis |
| title_fullStr | A beginner's guide to discrete mathematics W. D. Wallis |
| title_full_unstemmed | A beginner's guide to discrete mathematics W. D. Wallis |
| title_short | A beginner's guide to discrete mathematics |
| title_sort | a beginner s guide to discrete mathematics |
| topic | Informatique - Mathématiques Mathématiques Informatik Mathematik Computer science Mathematics Mathematics Diskrete Mathematik (DE-588)4129143-8 gnd |
| topic_facet | Informatique - Mathématiques Mathématiques Informatik Mathematik Computer science Mathematics Mathematics Diskrete Mathematik Lehrbuch |
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