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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