Mathematics as problem solving:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2009
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 106 S. Ill., graph. Darst. |
| ISBN: | 9780387746463 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804138472972222464 |
|---|---|
| adam_text | Titel: Mathematics as problem solving
Autor: Soifer, Alexander
Jahr: 2009
Contents
Foreword by Branko Grünbaum......................... ix
Foreword by Peter D. Johnson, Jr......................... x
Foreword by Cecil Rousseau............................ xi
Preface to the Second Edition........................... xiii
Preface to the First Edition............................. xv
1 Language and Some Celebrated Ideas................. 1
1.1 Streetcar Stories..................................... 1
1.2 Language.......................................... 3
1.3 Arguing by Contradiction............................ 6
1.4 Pigeonhole Principle................................ 8
1.5 Mathematical Induction............................. 12
2 Numbers......................................... 19
2.1 Integers............................................ 19
2.2 Rational and Irrational Numbers...................... 22
3 Algebra.......................................... 27
3.1 Proof of Equalities and Inequalities ................... 27
3.2 Equations, Inequalities, Their Systems, and How to
Solve Them........................................ 33
xviü Contents
4 Geometry ........................................ 45
4.1 Loci............................................... 45
4.2 Symmetry and Other Transformations................. 48
4.3 Proofs in Geometry ................................. 54
4.4 Constructions...................................... 60
4.5 Computations in Geometry.......................... 67
4.6 Maximum and Minimum in Geometry................ 71
5 Combinatorial Problems............................ 77
5.1 Combinatorics of Existence........................... 77
5.2 How Can Coloring Solve Mathematical Problems?...... 81
5.3 Combinatorics of Sets ............................... 88
5.4 A Problem of Combinatorial Geometry................ 92
6 Chess 7X7....................................... 93
7 Farewell to the Reader.............................. 103
References.......................................... 105
|
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| dewey-tens | 150 - Psychology |
| discipline | Psychologie Mathematik |
| edition | 2. ed. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:28:44Z |
| institution | BVB |
| isbn | 9780387746463 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017019777 |
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| physical | 106 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| spelling | Soifer, Alexander 1948- Verfasser (DE-588)1029747687 aut Mathematics as problem solving Alexander Soifer 2. ed. New York, NY Springer 2009 106 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Problem solving Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Problemlösen (DE-588)4076358-4 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 s DE-604 Problemlösen (DE-588)4076358-4 s Mathematik (DE-588)4037944-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017019777&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Soifer, Alexander 1948- Mathematics as problem solving Problem solving Mathematik (DE-588)4037944-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Problemlösen (DE-588)4076358-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4114530-6 (DE-588)4076358-4 |
| title | Mathematics as problem solving |
| title_auth | Mathematics as problem solving |
| title_exact_search | Mathematics as problem solving |
| title_full | Mathematics as problem solving Alexander Soifer |
| title_fullStr | Mathematics as problem solving Alexander Soifer |
| title_full_unstemmed | Mathematics as problem solving Alexander Soifer |
| title_short | Mathematics as problem solving |
| title_sort | mathematics as problem solving |
| topic | Problem solving Mathematik (DE-588)4037944-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Problemlösen (DE-588)4076358-4 gnd |
| topic_facet | Problem solving Mathematik Mathematisches Problem Problemlösen |
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