Abstract
This is the first of two chapters introducing the essential dictionary of higher mathematics. The material is structured around the key-words set and function. As we introduce new words and symbols, we use them in short phrases and sentences. Translating words into symbols and symbols into words is a recurring theme of this chapter. The last section contains optional advanced material.
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Notes
- 1.
Georg Cantor (German: 1845–1918).
- 2.
Some authors denote the second version by the symbol \(\mathbb {N}_0\).
- 3.
Bertrand Russell (British: 1872–1970); Ernst Zermelo (German: 1871–1953).
- 4.
The symbol [ \(\not \varepsilon \) ] indicates that the exercise must be completed without using any mathematical symbol.
- 5.
Below, we’ll replace the term ‘rule’ with something more rigorous.
- 6.
Each assignment should contain no mathematical symbols and approximately 50 words.
- 7.
Hermann Minkowski (Polish: 1864–1909).
- 8.
This notation is due to Carl Friedrich Gauss (German: 1777–1855).
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© 2014 Springer-Verlag London
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Vivaldi, F. (2014). Essential Dictionary I. In: Mathematical Writing. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-6527-9_2
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DOI: https://doi.org/10.1007/978-1-4471-6527-9_2
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