MHB Suggestions for algebra books.

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The discussion centers on recommendations for college algebra ebooks that feature challenging exercises. "Topics in Algebra" by I. N. Herstein is highlighted as an excellent resource for beginners, while more advanced texts are available for those seeking greater difficulty. Participants clarify that college algebra is typically less complex than abstract algebra, which is reserved for upper-level undergraduate courses. The conversation also touches on the distinction between college algebra and abstract algebra, emphasizing the need for clarity regarding the type of algebra being discussed. Overall, the thread seeks to identify intellectually stimulating materials for college algebra studies.
paulmdrdo1
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what college algebra ebooks can you recommend, with exercises that are quite challenging. because i have some college algebra ebooks, but i find the exercises there not intellectually stimulating.( I'm asking about college algebra that are taught in undergraduate programs).
 
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paulmdrdo said:
what college algebra ebooks can you recommend, with exercises that are quite challenging. because i have some college algebra ebooks, but i find the exercises there not intellectually stimulating.( I'm asking about college algebra that are taught in undergraduate programs).
Topics in Algebra by I. N. Herstein is a perfect book to read college algebra from. There are more advanced texts available too but if you are a beginner at college algebra I don't think there's a better book.
 
paulmdrdo said:
what college algebra ebooks can you recommend, with exercises that are quite challenging. because i have some college algebra ebooks, but i find the exercises there not intellectually stimulating.( I'm asking about college algebra that are taught in undergraduate programs).

caffeinemachine said:
Topics in Algebra by I. N. Herstein is a perfect book to read college algebra from. There are more advanced texts available too but if you are a beginner at college algebra I don't think there's a better book.

@paulmdrdo: I'm not sure about your country, but here in the US, college algebra is a very much more basic course than abstract algebra. Here is a typical college algebra text. As you can see, the level of the material is somewhere between high school Algebra II and Pre-Calculus. This is opposed to abstract algebra, which is a junior or senior level mathematics course in college. caffeinemachine gave you one link to a typical abstract algebra book. My favorite is actually Abstract Algebra, by the same author.

Which kind of algebra did you have in mind in the OP?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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