The calculus story : a mathematical adventure /
Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford, United Kingdom :
Oxford University Press,
2017.
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Edición: | First edition. |
Colección: | Very short introductions.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Copyright
- Dedication
- Contents
- 1. Introduction
- 2. The spirit of mathematics
- 3. Infinity
- 4. How steep is a curve?
- 5. Differentiation
- 6. Greatest and least
- 7. Playing with Infinity
- 8. Area and volume
- 9. Infinite series
- 10. 'Too much delight'
- 11. Dynamics
- 12. Newton and planetary motion
- 13. Leibniz's paper of 1684
- 14. 'An enigma'
- 15. Who invented calculus?
- 16. Round in circles
- 17. Pi and the odd numbers
- 18. Calculus under attack
- 19. Differential equations
- 20. Calculus and the electric guitar
- 21. The best of all possible worlds?
- 22. The mysterious number e
- 23. How to make a series
- 24. Calculus with imaginary numbers
- 25. Infinity bites back
- 26. What is a limit, exactly?
- 27. The equations of nature
- 28. From calculus to chaos
- Further reading
- References for quotations
- Picture credits
- Index
- 1089 and all
- Math hysteria
- How to cut a cake
- Cows in the maze
- Infinity
- Nothing
- Four laws that drive the universe
- Euler's pioneering equation
- Conjuring the universe.