The enjoyment of mathematics

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The Enjoyment of Mathematics: Selections from Mathematics for the Amateur

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. Fundamental Principles of Maximum Problems.

Periodic Decimal Fractions. On Warings Problem. On Closed SelfIntersecting Curves.

The FourColor Problem. The Regular Polyhedrons. Pythagorean Numbers and Formats Theorem.

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Otto Toeplitz

The Theorem of the Arithmetic and Geometric Means. A Characteristic Property of the Circle.

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Curves of Constant Breadth. A Property of the Number An Improved Inequality. 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?

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