1001 problems in classical number theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Providence, RI
American Math. Soc.
2007
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 336 S. |
| ISBN: | 9780821842249 |
Staff View
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| 240 | 1 | 0 | |a 1001 problèmes en théorie classique des nombres |
| 245 | 1 | 0 | |a 1001 problems in classical number theory |c Jean-Marie De Koninck ; Armel Mercier |
| 246 | 1 | 3 | |a A thousand and one problems in classical number theory |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2007 | |
| 300 | |a XII, 336 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Number theory |x Problems, exercises, etc | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Distribution
of the
Problems
according to Their Topics
ix
Preface
xi
Part
1.
Key Elements from the Theory
1
Notations
3
Some Classical Forms of Argument
3
Inequalities
3
Divisibility
4
Prime Numbers
5
Congruences
6
The Function [x]
7
Arithmetical Functions
8
Diophantine Equations
10
Quadratic Reciprocity
10
Continued Fractions
11
Classification of Real Numbers
12
Two Conjectures
12
Part
2.
Statements of the Problems
13
Mathematical Induction and Combinatorics
15
Divisibility
19
Prime Numbers
25
Representation of Numbers
34
Congruences
38
Primality Tests and Factorization Algorithms
44
Integer Parts
49
CONTENTS
Arithmetical Functions
53
Solving Equations Involving Arithmetical Functions
78
Special Numbers
81
Diophantine Equations
84
Quadratic Reciprocity
91
Continued Fractions
95
Classification of Real Numbers
99
Part
3.
Solutions
101
Bibliography
331
Subject Index
333
Index of Authors
335
|
| adam_txt |
Contents
Distribution
of the
Problems
according to Their Topics
ix
Preface
xi
Part
1.
Key Elements from the Theory
1
Notations
3
Some Classical Forms of Argument
3
Inequalities
3
Divisibility
4
Prime Numbers
5
Congruences
6
The Function [x]
7
Arithmetical Functions
8
Diophantine Equations
10
Quadratic Reciprocity
10
Continued Fractions
11
Classification of Real Numbers
12
Two Conjectures
12
Part
2.
Statements of the Problems
13
Mathematical Induction and Combinatorics
15
Divisibility
19
Prime Numbers
25
Representation of Numbers
34
Congruences
38
Primality Tests and Factorization Algorithms
44
Integer Parts
49
CONTENTS
Arithmetical Functions
53
Solving Equations Involving Arithmetical Functions
78
Special Numbers
81
Diophantine Equations
84
Quadratic Reciprocity
91
Continued Fractions
95
Classification of Real Numbers
99
Part
3.
Solutions
101
Bibliography
331
Subject Index
333
Index of Authors
335 |
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| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:52:29Z |
| indexdate | 2024-07-09T20:58:47Z |
| institution | BVB |
| isbn | 9780821842249 |
| language | English French |
| lccn | 2006052730 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015699819 |
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| physical | XII, 336 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Math. Soc. |
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| spelling | Koninck, Jean-Marie de 1948- Verfasser (DE-588)141191112 aut 1001 problèmes en théorie classique des nombres 1001 problems in classical number theory Jean-Marie De Koninck ; Armel Mercier A thousand and one problems in classical number theory Providence, RI American Math. Soc. 2007 XII, 336 S. txt rdacontent n rdamedia nc rdacarrier Numeri - teoria - problemi ed esercizi sbt Number theory Problems, exercises, etc Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s DE-604 Mercier, Armel Sonstige oth Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015699819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koninck, Jean-Marie de 1948- 1001 problems in classical number theory Numeri - teoria - problemi ed esercizi sbt Number theory Problems, exercises, etc Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4067277-3 |
| title | 1001 problems in classical number theory |
| title_alt | 1001 problèmes en théorie classique des nombres A thousand and one problems in classical number theory |
| title_auth | 1001 problems in classical number theory |
| title_exact_search | 1001 problems in classical number theory |
| title_exact_search_txtP | 1001 problems in classical number theory |
| title_full | 1001 problems in classical number theory Jean-Marie De Koninck ; Armel Mercier |
| title_fullStr | 1001 problems in classical number theory Jean-Marie De Koninck ; Armel Mercier |
| title_full_unstemmed | 1001 problems in classical number theory Jean-Marie De Koninck ; Armel Mercier |
| title_short | 1001 problems in classical number theory |
| title_sort | 1001 problems in classical number theory |
| topic | Numeri - teoria - problemi ed esercizi sbt Number theory Problems, exercises, etc Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Numeri - teoria - problemi ed esercizi Number theory Problems, exercises, etc Zahlentheorie |
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