What is a difficult College-Algebra book?

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SUMMARY

The discussion centers on recommendations for challenging college-level algebra books. The primary suggestion is "College Algebra" by Charles H. Lehmann, published in 1962, which covers topics such as partial fractions, theory of equations, and inequalities. Another notable recommendation is Euler's "Elements of Algebra," an 18th-century text available for free as a Google Book. Participants emphasize the importance of mastering logs and radicals for simplifying complex expressions.

PREREQUISITES
  • Understanding of basic algebraic concepts
  • Familiarity with logarithmic functions
  • Knowledge of radicals and their properties
  • Ability to simplify complex algebraic expressions
NEXT STEPS
  • Explore advanced techniques in logarithmic equations
  • Study the properties and applications of radicals
  • Investigate methods for simplifying complex algebraic expressions
  • Read Euler's "Elements of Algebra" for historical context and foundational concepts
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Students seeking to deepen their understanding of algebra, educators looking for teaching resources, and anyone interested in historical mathematical texts.

QuarkCharmer
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I keep finding all of these new little tricks that people use in algebra. I am doing just great as it is, but I would like to become more comfortable with logs, radicals, and the sort of math-play that one uses to simplify complex expressions, much in the way proving identities works.

What is a good, and difficult all-around algebra book?
 
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College Algebra by Charles H. Lehmann, 1962. I don't know how to cut and paste yet, but this book is listed on Amazon. I bought mine recently for $10. It has a few things I'm not interested in, such as probability and math of finance, but it also has chapters on partial fractions, theory of equations, and inequalities. It's a small book, too; 435 pages! If you like old-timey meat and potatoes books, I think you'll enjoy this one. This is my first post and I hope it's helpful - I can't begin to tell you how much this forum has helped me. John
 

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