Algebra Can You Recommend a Book to Better Understand Abstract Math Concepts?

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The discussion centers on the need for a comprehensive book that explains algebraic concepts in a more insightful and engaging manner, rather than just presenting them as abstract facts. The individual is currently enrolled in an engineering course and is studying basic algebra, simultaneous equations, and quadratics. They express a desire for resources that delve into the fundamental logic of algebra to build a strong foundation before progressing to more complex topics like Boolean algebra or calculus. Recommendations include "Basic Mathematics" by Serge Lang and "Algebra and Trigonometry" by I.M. Gelfand, which are suggested for their clarity and depth in explaining algebraic principles. The mention of "A Most Elegant Equation" raises questions about its relevance to the topic at hand.
Thorium90
So I recently join an engineering course, in my pure math classes we are currently studying basic algebra, simultaneous equations or quadratics. I quickly found all this very abstract and presented as facts.

Now, I don't know how to phrase this, rather than looking for a book that just states what laws of indices are, and so on. I am looking for a book that would explain these more as maybe a full concepts and its cleverness if you will.

I have heard that some people like a book called 'A most elegant equation' but I don't even know how relevant it would be. What would you recommend?
 
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Thorium90 said:
So I recently join an engineering course, in my pure math classes we are currently studying basic algebra, simultaneous equations or quadratics. I quickly found all this very abstract and presented as facts.

Now, I don't know how to phrase this, rather than looking for a book that just states what laws of indices are, and so on. I am looking for a book that would explain these more as maybe a full concepts and its cleverness if you will.

I have heard that some people like a book called 'A most elegant equation' but I don't even know how relevant it would be. What would you recommend?

You didn't mention on what topic should the book be ?
 
Buffu said:
You didn't mention on what topic should the book be ?

Ow yeah my bad if I wasn't clear, a book looking into the field of algebra with emphasis on fundamental logic so I can get a better understanding once I start moving to the more complex things like Boolean algebra or calculus.
 
For pre-calculus algebra try Basic Mathematics by Serge Lang, Algebra and Trigonometry by I.M. Gelfand.
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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