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Mathematical explorations / Alan F. Beardon.

By: Material type: TextTextSeries: African Institute of Mathematics library seriesPublication details: Cambridge : Cambridge University Press, 2016.Description: x, 117 pages : illustrations ; 22 cmISBN:
  • 9781316610565 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 510 23 B368
Contents:
1. Paying for parking -- 2. Lengths and angles -- 3. Magic squares -- 4. Intersecting chords -- 5. Crossing squares -- 6. Repeated vector products -- 7. A rolling disc -- 8. Sums of powers of digits -- 9. The metric dimension -- 10. Primes and irreducible elements -- 11. The symmetries of a quadrilateral -- 12. Removing a vertex -- 13. Squares withiin squares -- 14. Catalan numbers.
Summary: Mathematical Explorations follows on from the author's previous book, Creative Mathematics in the same series, and gives the reader experience in working on mathematical problems that require a little more maturity. In this text readers will see how mathematical ideas can be applied in a wide range of situations, and also gain an understanding of how mathematical research is conducted. Although readers do not require a deep mathematical background to tackle these problems, their mathematical understanding will be enriched by attempting to solve them.
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Includes bibliographical references and index.

1. Paying for parking --
2. Lengths and angles --
3. Magic squares --
4. Intersecting chords --
5. Crossing squares --
6. Repeated vector products --
7. A rolling disc --
8. Sums of powers of digits --
9. The metric dimension --
10. Primes and irreducible elements --
11. The symmetries of a quadrilateral --
12. Removing a vertex --
13. Squares withiin squares --
14. Catalan numbers.

Mathematical Explorations follows on from the author's previous book, Creative Mathematics in the same series, and gives the reader experience in working on mathematical problems that require a little more maturity. In this text readers will see how mathematical ideas can be applied in a wide range of situations, and also gain an understanding of how mathematical research is conducted. Although readers do not require a deep mathematical background to tackle these problems, their mathematical understanding will be enriched by attempting to solve them.

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