Abstract
This is the second part of the essential mathematical dictionary, dealing with the key-words sequence and equation. This dictionary is put to use to describe concisely and precisely mathematical objects of respectable complexity. We learn how to achieve different levels of description of the same object, progressing from the general to the particular. The last section contains some advanced material.
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Notes
- 1.
Jean Baptiste Joseph Fourier (French: 1768–1830).
- 2.
Leonhard Euler (Swiss: 1707–1783). An accessible account of Euler’s mathematics is found in [11].
- 3.
In Chap. 4 we shall see that an equation is a special type of predicate, which in turn is a special type of function.
- 4.
This sequence, named after John Farey, Sr. (English: 1766–1826), was actually discovered by the Frenchman Charles Haros.
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© 2014 Springer-Verlag London
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Vivaldi, F. (2014). Essential Dictionary II. In: Mathematical Writing. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-6527-9_3
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DOI: https://doi.org/10.1007/978-1-4471-6527-9_3
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