Enjoyment of Mathematics : : Selections from Mathematics for the Amateur / / Otto Toeplitz, Hans Rademacher.
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...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1957 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Princeton Legacy Library ;
1970 |
| Online Access: | |
| Physical Description: | 1 online resource (214 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Introduction
- 1. The Sequence of Prime Numbers
- 2. Traversing Nets of Curves
- 3. Some Maximum Problems
- 4. Incommensurable Segments and Irrational Numbers
- 5. A Minimum Property of the Pedal Triangle
- 6. A Second Proof of the Same Minimum Property
- 7. The Theory of Sets
- 8. Some Combinatorial Problems
- 9. On Waring's Problem
- 10. On Closed Self-Intersecting Curves
- 11. Is the Factorization of a Number into Prime Factors Unique?
- 12. The Four-Color Problem
- 13. The Regular Polyhedrons
- 14. Pythagorean Numbers and Fermat's Theorem
- 15. The Theorem of the Arithmetic and Geometric Means
- 16. The Spanning Circle of a Finite Set of Points
- 17. Approximating Irrational Numbers by Means of Rational Numbers
- 18. Producing Rectilinear Motion by Means of Linkages
- 19. Perfect Numbers
- 20. Euler's Proof of the Infinitude of the Prime Numbers
- 21. Fundamental Principles of Maximum Problems
- 22. The Figure of Greatest Area with a Given Perimeter
- 23. Periodic Decimal Fractions
- 24. A Characteristic Property of the Circle
- 25. Curves of Constant Breadth
- 26. The Indispensability of the Compass for the Constructions of Elementary Geometry
- 27. A Property of the Number 30
- 28. An Improved Inequality
- Notes and Remarks