Beautiful geometry /
"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...
Clasificación: | Libro Electrónico |
---|---|
Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton :
Princeton University Press,
[2014]
|
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.