Mathematical Explorations
eBook - PDF

Mathematical Explorations

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Mathematical Explorations

About this book

Mathematical Explorations follows on from the author's previous book, Creative Mathematics, in the same series, and gives the reader experience in working on problems requiring a little more mathematical maturity. The author's main aim is to show that problems are often solved by using mathematics that is not obviously connected to the problem, and readers are encouraged to consider as wide a variety of mathematical ideas as possible. In each case, the emphasis is placed on the important underlying ideas rather than on the solutions for their own sake. To enhance understanding of how mathematical research is conducted, each problem has been chosen not for its mathematical importance, but because it provides a good illustration of how arguments can be developed. While the reader does not require a deep mathematical background to tackle these problems, they will find their mathematical understanding is enriched by attempting to solve them.

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Yes, you can access Mathematical Explorations by Alan F. Beardon in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Contents
  7. Preface
  8. How to use this book
  9. 1 Paying for parking
  10. 2 Lengths and angles
  11. 3 Magic squares
  12. 4 Intersecting chords
  13. 5 Crossing squares
  14. 6 Repeated vector products
  15. 7 A rolling disc
  16. 8 Sums of powers of digits
  17. 9 The metric dimension
  18. 10 Primes and irreducible elements
  19. 11 The symmetries of a quadrilateral
  20. 12 Removing a vertex
  21. 13 Squares within squares
  22. 14 Catalan numbers
  23. References
  24. Index