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Mathematical Explorations

$18.00 USD

Part of AIMS Library of Mathematical Sciences

  • Date Published: September 2016
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316723487

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Description
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About the Authors
  • 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.

    • Helps the reader learn how to conduct mathematical research
    • Provides theorems which encourage the reader to ask more questions and discover the real nature of research
    • No deep mathematical background is required to understand the problems in this book
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    Reviews & endorsements

    'The broad array of mathematics that is covered in this text might provide a thought-provoking summary of topics and give students an opportunity to expand their horizons.' Mark Hunacek, MAA Reviews

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    Product details

    • Date Published: September 2016
    • format: Adobe eBook Reader
    • isbn: 9781316723487
    • contains: 20 b/w illus. 120 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    How to use this book
    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 within squares
    14. Catalan numbers
    References
    Index.

  • Author

    Alan F. Beardon, University of Cambridge
    Alan F. Beardon studied at the University of London and Harvard University, and obtained his PhD from Imperial College London in 1964. He taught at the University of Maryland and the University of Kent before moving to the University of Cambridge in 1968, where he is now an Emeritus Professor. He is the author of six mathematical texts and numerous research papers.

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