Sets and logic:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Homewood, Ill.
Irwin
1971
|
| Series: | Irwin series in quantitative analysis for business
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 274 S. graph. Darst. |
Staff View
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| 100 | 1 | |a Hanna, Samuel C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Sets and logic |c Samuel C. Hanna ; John C. Saber |
| 264 | 1 | |a Homewood, Ill. |b Irwin |c 1971 | |
| 300 | |a XI, 274 S. |b graph. Darst. | ||
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| 490 | 0 | |a Irwin series in quantitative analysis for business | |
| 650 | 4 | |a Ensembles, Théorie des | |
| 650 | 4 | |a Logique symbolique et mathématique | |
| 650 | 4 | |a Set theory | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 700 | 1 | |a Saber, John C. |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804120478774722560 |
|---|---|
| adam_text | CONTENTS
part I. SETS 2
1. Fundamentals of Sets 4
1.1. Set Definition and Notation, 4
1.2. Subsets and Set Equality, 8
1.3. Universal and Empty Sets, 9
1.4. Power Sets, 12
Exercises, 14
2. Real Number Set 19
2.1. Historical Background, 19
2.2. Rational Number Set (Quotient of Two Integers), 20
2.3. Rational Number Set (Decimal Form), 23
2.4. Irrational Number Set, 25
2.5. Real Numbers and the Line, 28
Exercises, 33
3. Set Operations 37
3.1. Complementation, 37
3.2. Intersection, 38
3.3. Inclusive and Exclusive Unions, 40
3.4. Sets Formed from More than One Operation, 42
3.5. Applications of the Operations, 47
Exercises, 50
4. Algebra of Sets 54
4.1. Laws of Algebra, 54
4.2. Use of the Laws in Simplifying Sets, 58
4.3. Use of the Laws in Proving Set Equalities, 61
Exercises, 63
5. Regions and Partitions, and Membership
Tables 67
5.1. Regions and Partitions, 67
ix
x Contents
5.2. Membership Tables, 70
5.3. Use of Membership Tables in Proving Set
Equalities, 73
5.4. Other Uses of Membership Tables, 76
Exercises, 79
6. Word Problems 83
6.1. Number of Elements in Unions, 83
6.2. Word Problems Venn Diagram Solution, 85
6.3. Word Problems—Tabular Solution, 92
Exercises, 99
part ||. LOGIC 106
7. Fundamentals of Logic . . . . . . 108
7.1. Statements, Fundamental Operations, and
Truth Tables, 108
7.2. General Truth Tables, 112
7.3. Logically True, Logically False, and Factual
Statements, 115
7.4. Consistency and Independency, 117
Exercises, 124
8. Algebra of Logic 128
8.1. Equivalence, 128
8.2. Laws of Algebra, 130
8.3. Uses of the Laws, 133
8.4. Forming Statements from Truth Tables, 136
Exercises, 141
9. Switching Theory 148
9.1. Circuits, 148
9.2. Simplification of Circuits, 154
9.3. Design of Circuits, 157
Exercises, 160
10. Implication, Conditional and
Biconditional 165
10.1. Implication and Conditional, 165
10.2. Related Conditionals—Converse and
Contrapositive, 171
10.3. Biconditional, 173
Contents xi
10.4. Forms of the Conditional and Biconditional, 175
Exercises, 180
11. Arguments 187
11.1. Fundamental Arguments, 187
11.2. Chain Arguments, 190
11.3. Complex Arguments, 194
11.4. Syllogisms, 200
11.5. Application of Arguments to Mathematics, 207
Exercises, 210
12. Word Problems 216
12.1. Multistate Word Problems—Tree Diagram
Solution, 216
12.2. Multistate Word Problems—Tabular Solution, 223
12.3. Binary State Word Problems—Decision Tree
and Decision Table Solution, 227
Exercises, 236
Answers to Selected Exercises .... 247
Index 269
|
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| author | Hanna, Samuel C. Saber, John C. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:42:44Z |
| institution | BVB |
| language | English |
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| physical | XI, 274 S. graph. Darst. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Irwin |
| record_format | marc |
| series2 | Irwin series in quantitative analysis for business |
| spelling | Hanna, Samuel C. Verfasser aut Sets and logic Samuel C. Hanna ; John C. Saber Homewood, Ill. Irwin 1971 XI, 274 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Irwin series in quantitative analysis for business Ensembles, Théorie des Logique symbolique et mathématique Set theory Logic, Symbolic and mathematical Saber, John C. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003957204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hanna, Samuel C. Saber, John C. Sets and logic Ensembles, Théorie des Logique symbolique et mathématique Set theory Logic, Symbolic and mathematical |
| title | Sets and logic |
| title_auth | Sets and logic |
| title_exact_search | Sets and logic |
| title_full | Sets and logic Samuel C. Hanna ; John C. Saber |
| title_fullStr | Sets and logic Samuel C. Hanna ; John C. Saber |
| title_full_unstemmed | Sets and logic Samuel C. Hanna ; John C. Saber |
| title_short | Sets and logic |
| title_sort | sets and logic |
| topic | Ensembles, Théorie des Logique symbolique et mathématique Set theory Logic, Symbolic and mathematical |
| topic_facet | Ensembles, Théorie des Logique symbolique et mathématique Set theory Logic, Symbolic and mathematical |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003957204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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