Algebra/Trigonometey (Precal) books with rigor?

[TitoSmooth]

I am an aspiring mathemarician and wanted to know algebra/trig books with rigor. I have sullivan pre cal/ stewart/mcguie and these are extremely easy books. I enjoy the sullivan book because of its wide range of topics( introduction to vectors) but the exercises are extremely easy.

The best pre cal book I own is by Cohen and the problems are harder then the other books I own.
Yet I want to get a book or more that are more challenging then Cohen. Any ideas?

 

[Saitama]

You can try this one:
https://www.amazon.com/dp/1418185094/?tag=pfamazon01-20

This book is very very old so the presentation of material is quite different from the current trend.

 

[xristy]

Serge Lang and I.M. Gelfand

You can consider Serge Lang's Basic Mathematics and the two books by Gelfand Trigonometry and Algebra

 

[eumyang]

How about another old one: Principles of Mathematics by Allendoerfer/Oakey?

 

[rezeew]

I can understand your desire for more rigorous algebra and trigonometry books. It is important to continuously challenge yourself and push your understanding of these subjects. I would recommend looking into textbooks that are used in college level courses, as they tend to have more challenging exercises and cover more advanced topics.

Some popular options include "Precalculus: Mathematics for Calculus" by James Stewart and "Algebra and Trigonometry" by Michael Sullivan. These books are typically used in college courses and have a good balance of rigor and comprehensive coverage of topics.

Additionally, you may want to consider books specifically focused on challenging problems and exercises, such as "The Art of Problem Solving" series by Richard Rusczyk. These books are designed to push your problem-solving skills and deepen your understanding of algebra and trigonometry.

Ultimately, it is important to find a textbook that suits your learning style and challenges you appropriately. I would recommend browsing through a few options and seeing which one resonates with you the most. Good luck on your search for a more rigorous precalculus book!