Good foundational mathematical basics.

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For building a solid foundation in mathematics, starting with a transition course is recommended. Such a course serves as an introduction to real mathematics, bridging the gap between basic concepts and more advanced topics. Introductory texts in abstract algebra, analysis, and category theory can be beneficial, but a transition course that includes elements of algebra and analysis is particularly effective for preparing to learn new mathematical areas. This approach ensures a comprehensive understanding that will aid in further studies.
E01
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I'm trying to get get a good base for learning further mathematics. Would an intro abstract algebra, analysis, and category theory text be good places to start? There are so many different places you could start and I'd like to first learn about those areas of math which help most when learning new areas.
 
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E01 said:
I'm trying to get get a good base for learning further mathematics. Would an intro abstract algebra, analysis, and category theory text be good places to start? There are so many different places you could start and I'd like to first learn about those areas of math which help most when learning new areas.

I think what you want first is a "transition course". It is a book that starts you on the path of real mathematics. When I taught a transition course, the book we used was THIS. I thought it was good.

It contains a little bit of algebra and analysis in the end.
 

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