Mathematical problems and proofs combinatorics, number theory, and geometry
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Plenum Press
1998
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| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Mathematical problems and proofs |b combinatorics, number theory, and geometry |c Branislav Kisačanin |
| 264 | 1 | |a New York [u.a.] |b Plenum Press |c 1998 | |
| 300 | |a XIV, 220 S. |b Ill., graph. Darst. | ||
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| _version_ | 1819728491046764544 |
|---|---|
| adam_text | IMAGE 1
MATHEMATICAL
PROBLEMS AND PROOFS COMBINATORICS, NUMBER THEORY, AND GEOMETRY
BRANISLAV KISACANIN DELPHI DELCO ELECTRONICS SYSTEMS KOKOMO, INDIANA
PLENUM PRESS * NEW YORK AND LONDON
IMAGE 2
CONTENTS
KEY TO SYMBOLS XIII
1. SETTHEORY 1
1.1. SETS AND ELEMENTARY SET OPERATIONS 3
1.2. CARTESIAN PRODUCT AND RELATIONS 7
1.3. FUNCTIONS AND OPERATIONS 9
1.4. CARDINALITY 11
1.5. PROBLEMS 14
2. COMBINATORICS 19
2.1. FOUR ENUMERATION PRINCIPLES 21
2.2. INTRODUCTORY PROBLEMS 22
2.3. BASIC DEFINITIONS 30
2.4. GENERATING FUNCTIONS 45
2.5. PROBLEMS 52
3. NUMBER THEORY 73
3.1. DIVISIBILITY OF NUMBERS 75
3.2. IMPORTANT FUNCTIONS IN NUMBER THEORY 89
3.3. CONGRUENCES 92
3.4. DIOPHANTINE EQUATIONS 101
3.5. PROBLEMS 110
4. GEOMETRY 117
4.1. PROPERTIESOF TRIANGLES 119
XI
IMAGE 3
XII
CONTENTS
4.2. ANALOGIES IN GEOMETRY 140
4.3. TWO GEOMETRIE TRICKS 142
4.4. PROBLEMS 145
APPENDIXES
A. MATHEMATICAL INDUCTION 165
A.L. OVERVIEW 167
A.2. EXAMPLES 167
A.3. PROBLEMS 177
A.4. HINTS AND NOTES 180
B. IMPORTANT MATHEMATICAL CONSTANTS 189
C. GREAT MATHEMATICIANS 199
D. GREEK ALPHABET 207
REFERENCES 211
INDEX 215
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| any_adam_object | 1 |
| author | Kisačanin, Branislav |
| author_facet | Kisačanin, Branislav |
| author_role | aut |
| author_sort | Kisačanin, Branislav |
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| building | Verbundindex |
| bvnumber | BV026375716 |
| classification_rvk | SK 110 |
| ctrlnum | (OCoLC)245835313 (DE-599)BVBBV026375716 |
| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV026375716 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T00:44:11Z |
| institution | BVB |
| isbn | 0306459671 |
| language | English |
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| publishDate | 1998 |
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| publisher | Plenum Press |
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| spellingShingle | Kisačanin, Branislav Mathematical problems and proofs combinatorics, number theory, and geometry |
| title | Mathematical problems and proofs combinatorics, number theory, and geometry |
| title_auth | Mathematical problems and proofs combinatorics, number theory, and geometry |
| title_exact_search | Mathematical problems and proofs combinatorics, number theory, and geometry |
| title_full | Mathematical problems and proofs combinatorics, number theory, and geometry Branislav Kisačanin |
| title_fullStr | Mathematical problems and proofs combinatorics, number theory, and geometry Branislav Kisačanin |
| title_full_unstemmed | Mathematical problems and proofs combinatorics, number theory, and geometry Branislav Kisačanin |
| title_short | Mathematical problems and proofs |
| title_sort | mathematical problems and proofs combinatorics number theory and geometry |
| title_sub | combinatorics, number theory, and geometry |
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