What is the meaning of g: [a, b] → R in set notation?

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The notation g: [a, b] → R indicates that the function g is defined on the interval [a, b] and maps to the set of real numbers R. There is a distinction between "into" and "onto" in this context, which can affect the interpretation of the function's properties. The discussion highlights the importance of understanding modern notations, as they may differ from traditional interpretations. A recommended resource for further learning is an introductory text on real analysis.

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RMalayappan
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I've been looking around a few places to try to understand some notation. I'm not sure exactly what to call it(set notation?) but basically things like g: [a, b] → R and stuff like that. I think it means something like g is defined on [a,b] in the real numbers, but is there a resource I can use to learn this type of notation?
 
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Hi RM:

I think your interpretation of the example is correct. However, the → might mean into rather than onto.

Unfortunately, notations have changed since I learned them, and I can't suggest any references.

Good luck.

Regards,
Buzz
 
Last edited:
Thanks. I ended up finding the information in an intro to real analysis, which looks like it has everything I need.
 

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