Introductory concepts for abstract mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2000
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 332 S. graph. Darst. |
| ISBN: | 1584881348 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | INTRODUCTORY CONCEPTS JTOR ABSTRACT MATHEMATICS KENNETH E. HUMMEL
CHAPMAN & HALL/CRC BOCA RATON LONDON NEW YORK WASHINGTON, D.C, CONTENTS
PREFACE VN SECTION I LOGIC AND PROOF 1 CHAPTER 1 LOGIC AND PROPOSITIONAL
CALCULUS 3 CHAPTER 2 TAUTOLOGIES AND VALIDITY 15 CHAPTER 3 QUANTIFIERS
AND PREDICATES 29 CHAPTER 4 TECHNIQUES OF DERIVATION AND RULES OF
INFERENCE 41 CHAPTER 5 INFORMAL PROOF AND THEOREM-PROVING TECHNIQUES *
53 CHAPTER 6 ON THEOREM PROVING AND WRITING PROOFS 69 CHAPTER 7
MATHEMATICAL INDUCTION 79 SECTION II SETS 91 CHAPTER 8 SETS AND SET
OPERATIONS 93 CHAPTER 9 SET UNION, INTERSECTION, AND COMPLEMENT 107
CHAPTER 10 GENERALIZED UNION AND INTERSECTION 123 SECTION III FUNCTIONS
AND RELATIONS 133 CHAPTER 11 CARTESIAN PRODUCTS 135 CHAPTER 12 RELATIONS
141 CHAPTER 13 PARTITIONS 151 CHAPTER 14 FUNCTIONS 161 CHAPTER 15
COMPOSITION OF FUNCTIONS 173 CHAPTER 16 IMAGE AND PREIMAGE FUNCTIONS 179
SECTION IV ALGEBRAIC AND ORDER PROPERTIES OF NUMBER SYSTEMS 187 CHAPTER
17 BINARY OPERATIONS 189 CHAPTER 18 THE SYSTEMS OF WHOLE AND NATURAL
NUMBERS 195 CHAPTER 19 THE SYSTEM Z OF INTEGERS 201 CHAPTER 20 THE
SYSTEM Q OF RATIONAL NUMBERS 215 VI INTRODUCTORY CONCEPTS FOR ABSTRACT
MATHEMATICS CHAPTER21 OTHER ASPECTS OF ORDER 223 CHAPTER22 THE REAL
NUMBER SYSTEM 227 SECTION V TRANSFINITE CARDINAL NUMBERS 235 CHAPTER 23
FINITE AND INFINITE SETS 237 CHAPTER 24 DENUMERABLE AND COUNTABLE SETS
243 CHAPTER 25 UNCOUNTABLE SETS 253 CHAPTER 26 TRANSFINITE CARDINAL
NUMBERS 259 SECTION VI AXIOM OF CHOICE AND ORDINAL NUMBERS 273 CHAPTER27
PARTIALLY ORDERED SETS 275 CHAPTER 28 LEAST UPPER BOUND AND GREATEST
LOWER BOUND *. 285 CHAPTER29 AXIOM OF CHOICE 289 CHAPTER 30 WELL ORDERED
SETS 299 READING LIST 305 HINTS AND SOLUTIONS TO SELECTED EXERCISES 307
INDEX 327
|
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| author | Hummel, Kenneth E. |
| author_facet | Hummel, Kenneth E. |
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| author_sort | Hummel, Kenneth E. |
| author_variant | k e h ke keh |
| building | Verbundindex |
| bvnumber | BV013386039 |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:44:56Z |
| institution | BVB |
| isbn | 1584881348 |
| language | English |
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| physical | XII, 332 S. graph. Darst. |
| publishDate | 2000 |
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| publisher | Chapman & Hall/CRC |
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| spelling | Hummel, Kenneth E. Verfasser aut Introductory concepts for abstract mathematics Kenneth E. Hummel Boca Raton [u.a.] Chapman & Hall/CRC 2000 XII, 332 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebra gtt Mathématiques Wiskunde gtt Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009131358&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hummel, Kenneth E. Introductory concepts for abstract mathematics Algebra gtt Mathématiques Wiskunde gtt Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | Introductory concepts for abstract mathematics |
| title_auth | Introductory concepts for abstract mathematics |
| title_exact_search | Introductory concepts for abstract mathematics |
| title_full | Introductory concepts for abstract mathematics Kenneth E. Hummel |
| title_fullStr | Introductory concepts for abstract mathematics Kenneth E. Hummel |
| title_full_unstemmed | Introductory concepts for abstract mathematics Kenneth E. Hummel |
| title_short | Introductory concepts for abstract mathematics |
| title_sort | introductory concepts for abstract mathematics |
| topic | Algebra gtt Mathématiques Wiskunde gtt Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Algebra Mathématiques Wiskunde Mathematik Mathematics |
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