Creative mathematics: a gateway to research
How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneo...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge ; New York
Cambridge University Press
2009
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| Schriftenreihe: | African Institute of Mathematics Library series
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| Links: | https://doi.org/10.1017/9780511844782 |
| Zusammenfassung: | How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organisation that will benefit every mathematician, budding, teaching or practised. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance. |
| Umfang: | 1 Online-Ressource (x, 110 Seiten) |
| ISBN: | 9780511844782 |
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| indexdate | 2025-03-03T11:57:59Z |
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| spelling | Beardon, Alan F. Creative mathematics a gateway to research Alan F. Beardon Cambridge ; New York Cambridge University Press 2009 1 Online-Ressource (x, 110 Seiten) txt c cr African Institute of Mathematics Library series How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organisation that will benefit every mathematician, budding, teaching or practised. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance. Erscheint auch als Druck-Ausgabe 9780521130592 |
| spellingShingle | Beardon, Alan F. Creative mathematics a gateway to research |
| title | Creative mathematics a gateway to research |
| title_auth | Creative mathematics a gateway to research |
| title_exact_search | Creative mathematics a gateway to research |
| title_full | Creative mathematics a gateway to research Alan F. Beardon |
| title_fullStr | Creative mathematics a gateway to research Alan F. Beardon |
| title_full_unstemmed | Creative mathematics a gateway to research Alan F. Beardon |
| title_short | Creative mathematics |
| title_sort | creative mathematics a gateway to research |
| title_sub | a gateway to research |
| work_keys_str_mv | AT beardonalanf creativemathematicsagatewaytoresearch |