What is so special about the number 30? How many colors are needed
to color a map? Do the prime numbers go on forever? Are there more
whole numbers than even numbers? These and other mathematical
puzzles are explored in this delightful book by two eminent
mathematicians. Requiring no more background than plane geometry
and elementary algebra, this book leads the reader into some of the
most fundamental ideas of mathematics, the ideas that make the
subject exciting and interesting. Explaining clearly how each
problem has arisen and, in some cases, resolved, Hans Rademacher
and Otto Toeplitz's deep curiosity for the subject and their
outstanding pedagogical talents shine through. Originally published
in 1957. The Princeton Legacy Library uses the latest
print-on-demand technology to again make available previously
out-of-print books from the distinguished backlist of Princeton
University Press. These editions preserve the original texts of
these important books while presenting them in durable paperback
and hardcover editions. The goal of the Princeton Legacy Library is
to vastly increase access to the rich scholarly heritage found in
the thousands of books published by Princeton University Press
since its founding in 1905.
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