Book Recommendations: Algebra, Geometry, Trigonometry & Calculus

AI Thread Summary
For algebra, a classical recommendation is "Basic Mathematics" by Serge Lang, which serves as a comprehensive reference, though some have expressed differing opinions on its effectiveness. For a quick study, "Principles of Mathematics" by Allendoerfer & Oakey is suggested. In geometry, the Gelfand high school mathematics collection is highlighted, particularly "Algebra" by Gelfand and Shen, and "Trigonometry" by Gelfand and Saul, noted for their challenging content and value. For precalculus topics, these resources provide a solid foundation before advancing to calculus.
jaja1990
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Hi,

I need two book recommendations for each of the following, one classical (i.e. covers the subject in detail, more like a reference, and influential if such book exists) and one as a quick study material.

The topics:-

1) Algebra
2) Geometry
3) Trigonometry
4) Calculus

Thanks.
 
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For Precalculus (that is, the stuff before Calculus):
One recommendation that I've seen here is Basic Mathematics by Serge Lang (ignore the book cover graphic - it's wrong), which would cover the basics of algebra, geometry and trigonometry. (However, I've also read of one dissenting opinion about this book.)

Another recommendation I've read about here is Principles of Mathematics by Allendoerfer & Oakey.
 
A series I really liked is the Gelfand high school mathematics collection: Algebra by Gelfand and Shen, Trigonometry by gelfand and Saul. They're challenging and rewarding books, you can't go wrong at the price they're at.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
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