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Appendix: Hamel bases

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Part of the Problem Books in Mathematics book series (PBM)

Abstract

It would have been appropriate to mention Georg Hamel and his connection with the theory of functional equations in our historical survey of Chapter 1. However, the work of Hamel is technical, and best studied after a thorough analysis of Cauchy’s contributions such as in Chapter 2. I have seen fit to place Hamel’s work in this appendix because his contribution to the subject depends upon a highly speculative axiom in mathematics, namely the Axiom of Choice, which is not accepted by all mathematicians.

Keywords

Real Number Functional Equation Rational Number Unique Representation Distinct Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2007

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