The Enjoyment of Math
eBook - PDF

The Enjoyment of Math

  1. 216 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Enjoyment of Math

About this book

The classic book that shares the enjoyment of mathematics with readers of all skill levels

What is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler's proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.

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Yes, you can access The Enjoyment of Math by Hans Rademacher,Otto Toeplitz in PDF and/or ePUB format, as well as other popular books in Mathematics & History & Philosophy of Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Contents
  3. Foreword by Alex Kontorovich
  4. Preface
  5. Introduction
  6. 1. The Sequence of Prime Numbers
  7. 2. Traversing Nets of Curves
  8. 3. Some Maximum Problems
  9. 4. Incommensurable Segments and Irrational Numbers
  10. 5. A Minimum Property of the Pedal Triangle
  11. 6. A Second Proof of the Same Minimum Property
  12. 7. The Theory of Sets
  13. 8. Some Combinatorial Problems
  14. 9. On Waring's Problem
  15. 10. On Closed Self-Intersecting Curves
  16. 11. Is the Factorization of a Number into Prime Factors Unique?
  17. 12. The Four-Color Problem
  18. 13. The Regular Polyhedrons
  19. 14. Pythagorean Numbers and Fermat's Theorem
  20. 15. The Theorem of the Arithmetic and Geometric Means
  21. 16. The Spanning Circle of a Finite Set of Points
  22. 17. Approximating Irrational Numbers by Means of Rational Numbers
  23. 18. Producing Rectilinear Motion by Means of Linkages
  24. 19. Perfect Numbers
  25. 20. Euler's Proof of the Infinitude of the Prime Numbers
  26. 21. Fundamental Principles of Maximum Problems
  27. 22. The Figure of Greatest Area with a Given Perimeter
  28. 23. Periodic Decimal Fractions
  29. 24. A Characteristic Property of the Circle
  30. 25. Curves of Constant Breadth
  31. 26. The Indispensability of the Compass for the Constructions of Elementary Geometry
  32. 27. A Property of the Number 30
  33. 28. An Improved Inequality
  34. Notes and Remarks