Abstract
One feature of modern mathematics is the use of abstract concepts to provide a language and a unifying framework for theories encompassing numerous special cases and examples. Two important examples of such concepts, that of “metric space” and that of “vector space,” will be taken up later in this chapter. In this section we discuss briefly the concepts, even more basic, of “set” and of “function.”
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© 1973 Springer Science+Business Media New York
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Beals, R. (1973). Basic Concepts. In: Advanced Mathematical Analysis. Graduate Texts in Mathematics, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9886-8_1
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DOI: https://doi.org/10.1007/978-1-4684-9886-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90066-7
Online ISBN: 978-1-4684-9886-8
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