The Enjoyment of Math
1st Edition
Published on 24. January 2023
216 pages
978-0-691-24153-1 (ISBN)
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Hans Rademacher | Otto Toeplitz
The Enjoyment of Math
Book
01/2023
Princeton University Press
€19.00
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Persons
Hans Rademacher (1892-1969) was professor emeritus of mathematics at the University of Pennsylvania. Otto Toeplitz (1881-1940) was a leading mathematician specializing in linear algebra and functional analysis. Alex Kontorovich is professor of mathematics at Rutgers University.
Content
- Cover
- Contents
- Foreword by Alex Kontorovich
- Preface
- 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
