2.Sets Functions Sequences Sums

Section 2.0 2.0.1

Chapter 2Sets, Fcns, Seqs, Sums2.1 Sets2.2 Set Operations2.3 Functions2.4 Sequences and Sums2.5 Cardinality of Sets

coursenotes by Prof. J. L. Gross for Rosen 7th Edition

Section 2.1 Sets 2.1.1

2.1 SETS

SOME STANDARD SETS of NUMBERS


2.1.2 Chapter 2 Sets, Fcns, Seqs, Sums

ROSTERS for SETS



SPECIFICATION by PREDICATES

OTHER WAYS to SPECIFY SETS



SETS as ELEMENTS of SETS

RELATIONS on SETS



POWER SET



CARTESIAN PRODUCT


Section 2.2 Set Operations 2.2.1

2.2 SET OPERATIONS

VENN DIAGRAMS

Fig 2.2.1



DYADIC SET OPERATIONS

Fig 2.2.2

Fig 2.2.3



Fig 2.2.4



MONADIC SET OPERATIONS

Fig 2.2.5



SET IDENTITIES

AVOIDING BOREDOM



CONFIRMING IDENTITIES with VENN DIAGRAMS


Section 2.3 Functions 2.3.1

2.3 FUNCTIONS



REPRESENTATION of DISCRETE FUNCTIONS



ONE-TO-ONE and ONTO FUNCTIONS



BIJECTIONS


Section 2.4 Sequences and Sums 2.4.1

2.4 SEQUENCES AND SUMS



STRINGS



SPECIFYING a RULE



INFERRING a RULE



SUMMATIONS


Section 2.5 Cardinality of Sets 2.5.1

2.5 CARDINALITY OF SETSPOTLATCH RULES for CARDINALITY



INFINITE CARDINALITIES


2.Sets Functions Sequences Sums

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