104 Number Theory Problems: From the Training of the USA IMO Team
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, MA
Birkhäuser Boston
2006
|
| Edition: | 1. Ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 204 S. Ill. |
| ISBN: | 9780817645274 0817645276 |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
PREFACE VII
ACKNOWLEDGMENTS IX
ABBREVIATIONS AND NOTATION XI
1 FOUNDATIONS OF NUMBER THEORY 1
DIVISIBILITY 1
DIVISION ALGORITHM 4
PRIMES 5
THE FUNDAMENTAL THEOREM OF ARITHMETIC 7
G.C.D. 11
EUCLIDEAN ALGORITHM 12
BEZOUT S IDENTITY 13
L.C.M. 16
THE NUMBER OF DIVISORS 17
THE SUMO
F DIVISORS 18
MODULAR ARITHMETICS 19
RESIDUE CLASSES 24
FERMAT S LITTLE THEOREM AND EULER
S THEOREM 27
EULER
S TOTIENT FUNCTION 33
MULTIPLICATIVE FUNCTION 36
LINEAR DIOPHANTINE EQUATIONS 38
NUMERICAL SYSTEMS 4
0
DIVISIBILITY CRITERIA IN THE DECIMAL SYSTEM 46
FLOOR FUNCTION 52
LEGENDRE S FUNCTION 65
FERMAT NUMBERS 70
MERSENNE NUMBERS 71
PERFECT NUMBERS 72
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/980660963
DIGITALISIERT DURCH
VI CONTENTS
2 INTRODUCTORY PROBLEMS 75
3 ADVANCED PROBLEMS 83
4 SOLUTIONS TO INTRODUCTORY PROBLEMS 91
5 SOLUTIONS TO ADVANCED PROBLEMS 131
GLOSSARY 189
FURTHER READING 197
INDEX 203
|
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| discipline | Mathematik |
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| physical | XII, 204 S. Ill. |
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| spelling | Andreescu, Titu 1956- Verfasser (DE-588)12217805X aut 104 Number Theory Problems From the Training of the USA IMO Team Titu Andreescu ; Dorin Andrica ; Zuming Feng 1. Ed. Cambridge, MA Birkhäuser Boston 2006 XII, 204 S. Ill. txt rdacontent n rdamedia nc rdacarrier Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Andrica, D. Verfasser aut Feng, Zuming Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020036523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andreescu, Titu 1956- Andrica, D. Feng, Zuming 104 Number Theory Problems From the Training of the USA IMO Team Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4143389-0 |
| title | 104 Number Theory Problems From the Training of the USA IMO Team |
| title_auth | 104 Number Theory Problems From the Training of the USA IMO Team |
| title_exact_search | 104 Number Theory Problems From the Training of the USA IMO Team |
| title_full | 104 Number Theory Problems From the Training of the USA IMO Team Titu Andreescu ; Dorin Andrica ; Zuming Feng |
| title_fullStr | 104 Number Theory Problems From the Training of the USA IMO Team Titu Andreescu ; Dorin Andrica ; Zuming Feng |
| title_full_unstemmed | 104 Number Theory Problems From the Training of the USA IMO Team Titu Andreescu ; Dorin Andrica ; Zuming Feng |
| title_short | 104 Number Theory Problems |
| title_sort | 104 number theory problems from the training of the usa imo team |
| title_sub | From the Training of the USA IMO Team |
| topic | Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Zahlentheorie Aufgabensammlung |
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