Verfügbarkeit: Discrete mathematics for new technology

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Bibliographische Detailangaben
Beteiligte Personen:	Garnier, Rowan (VerfasserIn), Taylor, John 1957- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Bristol [u.a.] Inst. of Physics Publ. 2002
Ausgabe:	2. ed.
Schlagwörter:	Informatik Mathematik Computer science > Mathematics Diskrete Mathematik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009555733&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIX, 749 S. Ill., graph. Darst.
ISBN:	0750306521 9780750306522

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0202 MAT 050f 2009 A 4276(2)
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adam_text	DISCRETE MATHEMATICS FOR NEW TECHNOLOGY SECOND EDITION ROWAN GAMIER AND JOHN TAYLOR UNIVERSITY OF BRIGHTON, UK LOP INSTITUTE OF PHYSICS PUBLISHING BRISTOL AND PHILADELPHIA CONTENTS CONTENTS V PREFACE TO THE SECOND EDITION IX PREFACE TO THE FIRST EDITION XI LIST OF SYMBOLS , XV CHAPTER 1: LOGIC **..: 3 F 1 1.1 PROPOSITIONS AND TRUTH VALUES,-..; 1 1.2 LOGICAL CONNECTIVES AND TRUTH TABLES, _ 2 1.3 TAUTOLOGIES AND CONTRADICTIONS 13 1.4 LOGICAL EQUIVALENCE AND LOGICAL IMPLICATION 15 1.5 THE ALGEBRA OF PROPOSITIONS 20 1.6 MORE ABOUT CONDITIONALS 24 1.7 ARGUMENTS 25 1.8 PREDICATE LOGIC 28 1.9 ARGUMENTS IN PREDICATE LOGIC 38 CHAPTER 2: MATHEMATICAL PROOF 44 2. 1 THE NATURE OF PROOF 44 2.2 AXIOMS AND AXIOM SYSTEMS 45 2.3 METHODS OF PROOF 49 2.4 MATHEMATICAL INDUCTION 63 CHAPTER 3: SETS 73 3.1 SETS AND MEMBERSHIP 73 3.2 SUBSETS 79 VI CONTENTS 3.3 OPERATIONS ON SETS 85 3.4 COUNTING TECHNIQUES 94 3.5 THE ALGEBRA OF SETS 98 3.6 FAMILIES OF SETS 105 3.7 THE CARTESIAN PRODUCT 116 3.8 TYPES AND TYPED SET THEORY 128 CHAPTER 4: RELATIONS 148 4.1 RELATIONS AND THEIR REPRESENTATIONS 148 4.2 PROPERTIES OF RELATIONS 158 4.3 INTERSECTIONS AND UNIONS OF RELATIONS 165 4.4 EQUIVALENCE RELATIONS AND PARTITIONS 169 4.5 ORDER RELATIONS 182 4.6 HASSE DIAGRAMS 192 4.7 APPLICATION: RELATIONAL DATABASES 199 CHAPTER 5: FUNCTIONS 214 5.1 DEFINITIONS AND EXAMPLES 214 5.2 COMPOSITE FUNCTIONS 232 5.3 INJECTIONS AND SURJECTIONS 240 5.4 BIJECTIONS AND INVERSE FUNCTIONS 254 5.5 MORE ON CARDINALITY 264 5.6 DATABASES: FUNCTIONAL DEPENDENCE AND NORMAL FORMS 271 CHAPTER 6: MATRIX ALGEBRA 285 6.1 INTRODUCTION 285 6.2 SOME SPECIAL MATRICES 288 6.3 OPERATIONS ON MATRICES 290 6.4 ELEMENTARY MATRICES 302 6.5 THE INVERSE OF A MATRIX 312 CHAPTER 7: SYSTEMS OF LINEAR EQUATIONS 325 7.1 INTRODUCTION 325 7.2 MATRIX INVERSE METHOD 331 7.3 GAUSS-JORDAN ELIMINATION 336 7.4 GAUSSIAN ELIMINATION 349 CHAPTER 8: ALGEBRAIC STRUCTURES 355 8.1 BINARY OPERATIONS AND THEIR PROPERTIES 355 8.2 ALGEBRAIC STRUCTURES 364 8.3 MORE ABOUT GROUPS 373 8.4 SOME FAMILIES OF GROUPS 378 8.5 SUBSTRUCTURES 390 8.6 MORPHISMS 398 8.7 GROUP CODES 412 CONTENTS VII CHAPTER 9: BOOLEAN ALGEBRA 431 9.1 INTRODUCTION 431 9.2 PROPERTIES OF BOOLEAN ALGEBRAS 435 9.3 BOOLEAN FUNCTIONS 442 9.4 SWITCHING CIRCUITS 459 9.5 LOGIC NETWORKS 468 9.6 MINIMIZATION OF BOOLEAN EXPRESSIONS 475 CHAPTER 10: GRAPH THEORY 487 10.1 DEFINITIONS AND EXAMPLES 487 10.2 PATHS AND CYCLES 500 10.3 ISOMORPHISM OF GRAPHS 514 10.4 TREES 521 10.5 PLANAR GRAPHS 530 10.6 DIRECTED GRAPHS 539 550 550 551 565 582 591 599 612 REFERENCES AND FURTHER READING 626 HINTS AND SOLUTIONS TO SELECTED EXERCISES 630 INDEX 727 CHAPTER 1 1 1 1 1 1 1 .1 .2 .3 .4 .5 .6 .7 11: APPLICATIONS OF GRAPH THEORY INTRODUCTION ROOTED TREES SORTING SEARCHING STRATEGIES WEIGHTED GRAPHS THE SHORTEST PATH AND TRAVELLING SALESMAN PROBLEMS NETWORKS AND FLOWS
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spellingShingle	Garnier, Rowan Taylor, John 1957- Discrete mathematics for new technology Informatik Mathematik Computer science Mathematics Mathematik (DE-588)4037944-9 gnd Diskrete Mathematik (DE-588)4129143-8 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4129143-8
title	Discrete mathematics for new technology
title_auth	Discrete mathematics for new technology
title_exact_search	Discrete mathematics for new technology
title_full	Discrete mathematics for new technology Rowan Garnier and John Taylor
title_fullStr	Discrete mathematics for new technology Rowan Garnier and John Taylor
title_full_unstemmed	Discrete mathematics for new technology Rowan Garnier and John Taylor
title_short	Discrete mathematics for new technology
title_sort	discrete mathematics for new technology
topic	Informatik Mathematik Computer science Mathematics Mathematik (DE-588)4037944-9 gnd Diskrete Mathematik (DE-588)4129143-8 gnd
topic_facet	Informatik Mathematik Computer science Mathematics Diskrete Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009555733&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT garnierrowan discretemathematicsfornewtechnology AT taylorjohn discretemathematicsfornewtechnology

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