Set builder notation: is it ever used?

AI Thread Summary
Set builder notation is essential for understanding advanced mathematics, particularly in fields like analysis and linear algebra. While it may not appear frequently in introductory calculus texts, it becomes crucial for proofs and problem-solving in higher-level math. Familiarity with this notation is comparable to mastering basic mathematical concepts. It is recommended to consult textbooks focused on analysis or linear algebra to see its application. Mastering set builder notation will enhance comprehension and proficiency in mathematical discussions and problem-solving.
JR Sauerland
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Should I sharpen up on using set builder notation? Like, will I ever need it in physics or calculus? I'm currently refreshing my skill at writing in Interval notation for inequalities and the like.
 
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I will go ahead and say that this is one of the very basic things one pretty much has to be perfectly comfortable with using and reading.
 
disregardthat said:
I will go ahead and say that this is one of the very basic things one pretty much has to be perfectly comfortable with using and reading.
I've just never seen it used anywhere. I've browsed through Calc books and never seen it :-S
 
I don't know what books you checked, but if you study a certain kind of math, it's only slightly less important than knowing the alphabet. Try a book with "analysis" in the title. (For example Friedman. I can assure you that even though the notation is only used a few times on the first few pages, you would use it all the time when you work through proofs and do problems). You should find it in any book on linear algebra as well. How else does the book define a subset before it asks you to determine if it's a subspace?
 
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