Wearing Gauss's Jersey focuses on "Gauss problems," problems that
can be very tedious and time consuming when tackled in a
traditional, straightforward way but if approached in a more
insightful fashion, can yield the solution much more easily and
elegantly. The book shows how mathematical problem solving can be
fun and how students can improve their mathematical insight,
regardless of their initial level of knowledge. Illustrating the
underlying unity in mathematics, it also explores how problems
seemingly unrelated on the surface are actually extremely connected
to each other. Each chapter starts with easy problems that
demonstrate the simple insight/mathematical tools necessary to
solve problems more efficiently. The text then uses these simple
tools to solve more difficult problems, such as Olympiad-level
problems, and develop more complex mathematical tools. The longest
chapters investigate combinatorics as well as sequences and series,
which are some of the most well-known Gauss problems. These topics
would be very tedious to handle in a straightforward way but the
book shows that there are easier ways of tackling them.
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