Mathematical morsels:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Washington, DC
Math. Assoc. of America
1978
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Schriftenreihe: | The Dolciani mathematical expositions.
3 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 249 S. graph. Darst. |
ISBN: | 0883853035 |
Internformat
MARC
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490 | 1 | |a The Dolciani mathematical expositions. |v 3 | |
650 | 4 | |a Analyse combinatoire | |
650 | 4 | |a Géométrie | |
650 | 4 | |a Nombres, Théorie des | |
650 | 4 | |a Combinatorial analysis | |
650 | 4 | |a Geometry | |
650 | 4 | |a Number theory | |
650 | 0 | 7 | |a Unterhaltungsmathematik |0 (DE-588)4124357-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Mathematisches Problem |0 (DE-588)4114530-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
_version_ | 1804116715645173760 |
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adam_text | CONTENTS
PROBLEM PAGE
1. The Chess Tournament 1
2. The Ordered Partitions of n 3
3. Regions in a Circle 4
4. The Ferry Boats 7
5. The Bulging Semicircle. 8
6. The Chauffeur Problem 10
7. The Screens in the Corner 13
8. Coloring the Plane 15
9. An Obvious Maximum 16
10. cos17jc=/(cosjc) 18
11. A Square in a Lattice 19
12. An Opaque Square 22
13. x s and O s 26
14. A Surprising Property of Right Angled
Triangles 27
15. The Digits of 44444444 30
16. a(n) + p(n) = nd(n) 32
17. Onfc Clouds 35
18. A Minimal Sum 37
19. The Last Three Digits of 7999» 40
20. Rolling a Die 42
21. Piercing a Cube 43
22. Double Sequences 45
23. Point Splitting Circles 48
ix
X CONTENTS
24. On the Lengths of the Sides of a Triangle 52
25. No Calculus Please 53
26. a*and* 59
27. A Mathematical Joke 61
28. Maps on a Sphere 63
29. Convex Regions in the Plane 66
30. Simultaneous Diophantine Equations .71
31. A Reflected Tangent 72
32. The Hegantly Destroyed Checkerboard 74
33. The Snowballs 79
34. Writing the Numbers from One to a Billion 81
35. Abutting, Nonoverlapping Unit Squares 82
36. A Diophantine Equation 90
37. The Fibonacci Sequence 92
38. An Erdos Inequality 96
39. Sharing Lattice Points 99
40. Perfect Numbers 102
41. The Sides of a Quadrilateral 105
42. Primes in Arithmetic Progression 107
43. On Cevians 109
44. The Cows and the Sheep 112
45. A Sequence of Squares 114
46. The Inscribed Decagon 115
47. Red and Blue Dots 118
48. Swale s Method 121
49. On w(n) 123
50. A Constant Chord 126
51. The Number of Inner Diagonals 128
CONTENTS Xi
52. Loading the Dice 130
53. A Curious Sequence 132
54. Long Strings of Consecutive Natural Numbers 136
55. A Minimal Inscribed Quadrilateral 138
56. Triangular Numbers 142
57. On a Regular n gon 150
58. The Fermat Numbers 152
59. An Inequality of Reciprocals 155
60. A Perfect 4th Power • 156
61. Packing Squares 157
62. Red and Green Balls 163
63. Composite Terms in Arithmetic Progression 165
64. Abutting Equilateral Triangles 167
65. The Tests 170
66. An Application of Ptolemy s Theorem 172
67. Another Diophantine Equation 176
68. An Unusual Property of Complex Numbers 178
69. A Chain of Circles 180
70. Repeated Digits at the End of a Square 184
71. An Angle Bisector 186
72. A System of Inequalities 188
73. An Unexpected Property of a Regular 26 gon 189
74. More on Perfect Squares 192
75. An Unusual Polynomial 196
76. Cyclic Centroids 198
77. An Easy Remainder 202
78. A Curious Property of 3 203
79. A Square Within a Square 204
Xii CONTENTS
80. Always a Square 206
81. Grouping the Natural Numbers 207
82. Triangles with Sides in Arithmetic Progression 209
83. Fractions by Permutation 211
84. On Binomial Coefficients 212
85. The Fermat Number Fn 214
86. A Cyclic Quadrilateral 218
87. Special Triples of Natural Numbers 220
88. The Sums of the Primes 221
89. Another Curious Sequence 223
90. The Ellipse and the Lattice 228
91. Archimedes Triangles 236
Exercises 243
List of the Problems by Topic 247
|
any_adam_object | 1 |
author | Honsberger, Ross 1929-2016 |
author_GND | (DE-588)172142903 |
author_facet | Honsberger, Ross 1929-2016 |
author_role | aut |
author_sort | Honsberger, Ross 1929-2016 |
author_variant | r h rh |
building | Verbundindex |
bvnumber | BV002258580 |
callnumber-first | Q - Science |
callnumber-label | QA241 |
callnumber-raw | QA241 |
callnumber-search | QA241 |
callnumber-sort | QA 3241 |
callnumber-subject | QA - Mathematics |
classification_rvk | SN 300 |
classification_tum | MAT 006f |
ctrlnum | (OCoLC)4598980 (DE-599)BVBBV002258580 |
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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genre | 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content |
genre_facet | Aufgabensammlung |
id | DE-604.BV002258580 |
illustrated | Illustrated |
indexdate | 2024-07-09T15:42:55Z |
institution | BVB |
isbn | 0883853035 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001484247 |
oclc_num | 4598980 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-188 DE-N32 DE-29T DE-706 |
owner_facet | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-188 DE-N32 DE-29T DE-706 |
physical | XII, 249 S. graph. Darst. |
publishDate | 1978 |
publishDateSearch | 1978 |
publishDateSort | 1978 |
publisher | Math. Assoc. of America |
record_format | marc |
series | The Dolciani mathematical expositions. |
series2 | The Dolciani mathematical expositions. |
spelling | Honsberger, Ross 1929-2016 Verfasser (DE-588)172142903 aut Mathematical morsels Washington, DC Math. Assoc. of America 1978 XII, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Dolciani mathematical expositions. 3 Analyse combinatoire Géométrie Nombres, Théorie des Combinatorial analysis Geometry Number theory Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Unterhaltungsmathematik (DE-588)4124357-2 s DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Mathematisches Problem (DE-588)4114530-6 s 3\p DE-604 The Dolciani mathematical expositions. 3 (DE-604)BV001900740 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Honsberger, Ross 1929-2016 Mathematical morsels The Dolciani mathematical expositions. Analyse combinatoire Géométrie Nombres, Théorie des Combinatorial analysis Geometry Number theory Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematisches Problem (DE-588)4114530-6 gnd Mathematik (DE-588)4037944-9 gnd |
subject_GND | (DE-588)4124357-2 (DE-588)4114530-6 (DE-588)4037944-9 (DE-588)4143389-0 |
title | Mathematical morsels |
title_auth | Mathematical morsels |
title_exact_search | Mathematical morsels |
title_full | Mathematical morsels |
title_fullStr | Mathematical morsels |
title_full_unstemmed | Mathematical morsels |
title_short | Mathematical morsels |
title_sort | mathematical morsels |
topic | Analyse combinatoire Géométrie Nombres, Théorie des Combinatorial analysis Geometry Number theory Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematisches Problem (DE-588)4114530-6 gnd Mathematik (DE-588)4037944-9 gnd |
topic_facet | Analyse combinatoire Géométrie Nombres, Théorie des Combinatorial analysis Geometry Number theory Unterhaltungsmathematik Mathematisches Problem Mathematik Aufgabensammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484247&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV001900740 |
work_keys_str_mv | AT honsbergerross mathematicalmorsels |