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The doctrine of triangles : a history of modern trigonometry /
"An interdisciplinary history of trigonometry from the mid-sixteenth century through to the early twentieth century The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
[2021]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- European Trigonometry Comes of Age. What's in a name?
- Trigonometric tables evolving
- Algebraic gems by Viète
- New theorems, plane and spherical
- Consolidating the solutions of triangles
- Widening applications
- Logarithms. Napier, Briggs, and the birth of logarithms
- Interlude: Joost Bürgi's surprising method of calculating a sine table
- The explosion of tables of logarithms
- Computing tables effectively: logarithms
- Computing tables effectively: interpolation
- Napier on spherical trigonometry
- Further theoretical developments
- Developments in notation
- Practical and scientific applications
- Calculus. Quadratures in trigonometry before Newton and Leibniz
- Tangents in Trigonometry before Newton and Leibniz
- Infinite sequences and series in trigonometry
- Transforming the construction of trigonometric tables with series
- Geometric detivatives and integrals of trigonometric functions
- A transition to analytical conceptions
- Euler on the analysis of trigonometric functions
- Euler on spherical trigonometry
- China. Indian and Islamic trigonometry in China
- Indigenous Chinese geometry
- Indigenous Chinese trigonometry
- The Jesuits arrive
- Trigonometry in the Chongzhen lishu
- Logarithms in China
- The Kangxi Period and Mei Wending
- Dai Zhen: philology encounters mathematics
- Infinite series
- Europe after Euler. Normal science: gap filling in spherical trigonometry
- Symmetry and unity
- The return of stereographic projection
- Surveying and Legendre's theorem
- Trigonometry in navigation
- Tables
- Fourier series
- Concerns about negativity
- Education.