E-Book, Englisch, Band 1970, 214 Seiten
Reihe: Princeton Legacy Library
Rademacher / Toeplitz The Enjoyment of Math
1. Auflage 2015
ISBN: 978-1-4008-7608-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
Selections from Mathematics for the Amateur
E-Book, Englisch, Band 1970, 214 Seiten
Reihe: Princeton Legacy Library
ISBN: 978-1-4008-7608-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark
No detailed description available for "The Enjoyment of Math".
Autoren/Hrsg.
Weitere Infos & Material
Frontmatter, pg. i
Preface, pg. v
Contents, pg. vii
Introduction, pg. 1
1. The Sequence of Prime Numbers, pg. 9
2. Traversing Nets of Curves, pg. 13
3. Some Maximum Problems, pg. 17
4. Incommensurable Segments and Irrational Numbers, pg. 22
5. A Minimum Property of the Pedal Triangle, pg. 27
6. A Second Proof of the Same Minimum Property, pg. 30
7. The Theory of Sets, pg. 34
8. Some Combinatorial Problems, pg. 43
9. On Waring's Problem, pg. 52
10. On Closed Self-Intersecting Curves, pg. 61
11. Is the Factorization of a Number into Prime Factors Unique?, pg. 66
12. The Four-Color Problem, pg. 73
13. The Regular Polyhedrons, pg. 82
14. Pythagorean Numbers and Fermat's Theorem, pg. 88
15. The Theorem of the Arithmetic and Geometric Means, pg. 95
16. The Spanning Circle of a Finite Set of Points, pg. 103
17. Approximating Irrational Numbers by Means of Rational Numbers, pg. 111
18. Producing Rectilinear Motion by Means of Linkages, pg. 119
19. Perfect Numbers, pg. 129
20. Euler's Proof of the Infinitude of the Prime Numbers, pg. 135
21. Fundamental Principles of Maximum Problems, pg. 139
22. The Figure of Greatest Area with a Given Perimeter, pg. 142
23. Periodic Decimal Fractions, pg. 147
24. A Characteristic Property of the Circle, pg. 160
25. Curves of Constant Breadth, pg. 163
26. The Indispensability of the Compass for the Constructions of Elementary Geometry, pg. 177
27. A Property of the Number 30, pg. 187
28. An Improved Inequality, pg. 192
Notes and Remarks, pg. 197
