Mathematical Olympiad treasures:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2006
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 234 S. graph. Darst. |
| ISBN: | 0817643052 9780817643058 |
Internformat
MARC
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|---|---|---|---|
| 001 | BV035957830 | ||
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| 008 | 100115s2006 d||| |||| 00||| eng d | ||
| 020 | |a 0817643052 |c : EUR 34.24 (freier Pr.), CHF 50.00 |9 0-8176-4305-2 | ||
| 020 | |a 9780817643058 |9 978-0-8176-4305-8 | ||
| 024 | 3 | |a 9780817643058 | |
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| 100 | 1 | |a Andreescu, Titu |d 1956- |e Verfasser |0 (DE-588)12217805X |4 aut | |
| 245 | 1 | 0 | |a Mathematical Olympiad treasures |c Titu Andreescu ; Bogdan Enescu |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2006 | |
| 300 | |a VI, 234 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 610 | 2 | 4 | |a USA Mathematical Olympiad |
| 611 | 2 | 7 | |a Internationale Mathematik-Olympiade |0 (DE-588)4169097-7 |2 gnd |9 rswk-swf |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |v Problems, exercises, etc | |
| 689 | 0 | 0 | |a Internationale Mathematik-Olympiade |0 (DE-588)4169097-7 |D f |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Enescu, Bogdan |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018814845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018814845 | ||
Datensatz im Suchindex
| _version_ | 1804140947883163648 |
|---|---|
| adam_text | Contents
I
Problems
Algebra 3
1.1 An
Algebraic Identity
.....................
З
1.2 Cauchy-Schwartz
revisited
.................. 7
1.3
Easy ways through absolute values
.............. 11
1.4
Parameters
........................... 15
1.5
Take the conjugate!
...................... 17
1.6
Inequalities with convex functions
.............. 21
1.7
Induction at work
....................... 25
1.8
Roots and coefficients
..................... 28
Geometry and Trigonometry
35
2.1
Geometric inequalities
.................... 35
2.2
An interesting locus
...................... 39
2.3
Cyclic Quads
......................... 44
2.4
Equiangular polygons
..................... 51
2.5
More on equilateral triangles
................. 55
2.6
The carpets theorem
.................... 60
2.7
Quadrilaterals with an inscribed circle
............ 64
2.8
Dr. Trig learns complex numbers
............... 69
Number Theory and Combinatorics
73
3.1
Arrays of numbers
...................... 73
3.2
Functions defined on sets of points
.............. 76
3.3
Count twice!
.......................... 80
3.4
Sequences of integers
..................... 82
3.5
Equations with infinitely many solutions
........... 86
3.6
Equations with no solutions
.................. 88
3.7 Powers
of
2.......................... 90
3.8
Progressions
.......................... 93
II Solutions
97
4
Algebra
99
4.1
An Algebraic Identity
..................... 99
4.2
Cauchy-Schwartz revisited
.................. 105
4.3
Easy ways through absolute values
.............. 109
4.4
Parameters
........................... 114
4.5
Take the conjugate!
..................... . 118
4.6
Inequalities with convex functions
............. . 124
4.7
Induction at work
....................... 127
4.8
Roots and coef cients
..................... 130
5
Geometry and Trigonometry
137
5.1
Geometric inequalities
.................... 137
5.2
An interesting locus
...................... 145
5.3
Cyclic Quads
......................... 153
5.4
Equiangular polygons
..................... 161
5.5
More on equilateral triangles
................. 171
5.6
Theicarpetsî
theorem
.................... 178
5.7
Quadrilaterals with an inscribed circle
............ 184
5.8
Dr. Trig learns complex numbers
............... 190
6
Number Theory and Combinatorics
195
6.1
Arrays of numbers
...................... 195
6.2
Functions
de ned
on sets of points
.............. 199
6.3
Count twice!
.......................... 204
6.4
Sequences of integers
..................... 209
6.5
Equations with in nitely many solutions
........... 212
6.6
Equations with no solutions
.................. 216
6.7
Powers of
2.......................... 219
6.8
Progressions
.......................... 227
Glossary
233
Index of notations
235
Index to the problems
237
|
| any_adam_object | 1 |
| author | Andreescu, Titu 1956- Enescu, Bogdan |
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| author_facet | Andreescu, Titu 1956- Enescu, Bogdan |
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| building | Verbundindex |
| bvnumber | BV035957830 |
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| classification_tum | MAT 020f MAT 007f |
| ctrlnum | (OCoLC)62343029 (DE-599)BVBBV035957830 |
| dewey-full | 510.76 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.76 |
| dewey-search | 510.76 |
| dewey-sort | 3510.76 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035957830 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:08:05Z |
| institution | BVB |
| isbn | 0817643052 9780817643058 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018814845 |
| oclc_num | 62343029 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | VI, 234 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Andreescu, Titu 1956- Verfasser (DE-588)12217805X aut Mathematical Olympiad treasures Titu Andreescu ; Bogdan Enescu Boston [u.a.] Birkhäuser 2006 VI, 234 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier USA Mathematical Olympiad Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd rswk-swf Mathematik Mathematics Problems, exercises, etc Internationale Mathematik-Olympiade (DE-588)4169097-7 f DE-604 Enescu, Bogdan Verfasser aut Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018814845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andreescu, Titu 1956- Enescu, Bogdan Mathematical Olympiad treasures USA Mathematical Olympiad Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Mathematik Mathematics Problems, exercises, etc |
| subject_GND | (DE-588)4169097-7 |
| title | Mathematical Olympiad treasures |
| title_auth | Mathematical Olympiad treasures |
| title_exact_search | Mathematical Olympiad treasures |
| title_full | Mathematical Olympiad treasures Titu Andreescu ; Bogdan Enescu |
| title_fullStr | Mathematical Olympiad treasures Titu Andreescu ; Bogdan Enescu |
| title_full_unstemmed | Mathematical Olympiad treasures Titu Andreescu ; Bogdan Enescu |
| title_short | Mathematical Olympiad treasures |
| title_sort | mathematical olympiad treasures |
| topic | USA Mathematical Olympiad Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Mathematik Mathematics Problems, exercises, etc |
| topic_facet | USA Mathematical Olympiad Internationale Mathematik-Olympiade Mathematik Mathematics Problems, exercises, etc |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018814845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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