Beautiful geometry / Eli Maor and Eugen Jost.
"If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patt...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
[2014]
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| Subjects: |
Table of Contents:
- Thales of Miletus
- Triangles of equal area
- Quadrilaterals
- Perfect numbers and triangular numbers
- The Pythagorean theorem I
- The Pythagorean theorem II
- Pythagorean triples
- The square root of 2
- A repertoire of means
- More about means
- Two theorems from Euclid
- Different, yet the same
- One theorem, three proofs
- The prime numbers
- Two prime mysteries
- 0.999 ... =?
- Eleven
- Euclidean constructions
- Hexagons
- Fibonacci numbers
- The golden ratio
- The Pentagon
- The 17-sided regular polygon
- Fifty
- Doubling the cube
- Squaring the circle
- Archimedes measures the circle
- The digit hunters
- Conics
- 3/3 = 4{4}
- The harmonic series
- Ceva's theorem
- e
- Spira mirabilis
- The cycloid
- Epicycloids and hypocycloids
- The Euler line
- Inversion
- Steiner's porism
- Line designs
- The French connection
- The audible made visible
- Lissajous figures
- Symmetry I
- Symmetry II
- The Reuleaux triangle
- Pick's theorem
- Morley's theorem
- The snowflake curve
- Sierpinski's triangle
- Beyond infinity
- Appendix : Proofs of selected Theorems mentioned in this book.