The Enjoyment of Math 1st Edition by Hans Rademacher, Otto Toeplitz ISBN 9780691241548 0691241546

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Product details:

ISBN 10: 0691241546
ISBN 13: 9780691241548
Author: Hans Rademacher, Otto Toeplitz

The Enjoyment of Math 1st Edition Table of contents:

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

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Tags: Hans Rademacher, Otto Toeplitz, Enjoyment, Math