Hello, / sci /. A bit of context:
I am an 18-year-old student who is planning to pursue a degree in Pure Mathematics.
However, I do not feel prepared, so I decided to dedicate a semester to re-teach myself again everything I learned during high school and even a little further. It seemed appropriate to ask here since since you are more experienced in the field.
Now getting to the point, I have planned two possible paths to take to relearn high school math, which I will describe below:
***Path 1:***
* Algebra by Gelfand and Shen
* Functions and Graphs by Gelfand, Glagoleva, and Shnol
* The Method of Coordinates by Gelfand, Glagoleva, and Kirillov
* Trigonometry by Gelfand and Saul
***Path 2:***
*From OpenStax textbooks:*
*Prealgebra
*Elementary Algebra
*Intermediate Algebra
*Algebra and Trigonometry
*Regardless of which of the two paths I take, I plan to read the following books:*
* Hammack's Book of Proof
* Kiselev's Geometry: Book I. Planimetry & Book II. Stereometry
* Basic Mathematics by Lang
* Stewart's Precalculus: Mathematics for Calculus
Note that the first path follows the recommendations specified in the wiki: <https://4chan-science.fandom.com/wiki/Math_Textbook_Recommendations>;, while the second is based on the recommendations made on the Mathematics subreddit.
With all this talk I wanted to get to the following questions:
1. Which of the two paths would you recommend me to follow to generate really solid foundations?
2. Would you criticize the book choice or the reading order?
3. What do you think about Euler's Elements of Algebra book?
4. Are there any other books that you recommend?
Sorry for the poor redaction, my native language is Spanish. And thanks in advance to everyone who takes the time to respond.
May God bless you all.
I am an 18-year-old student who is planning to pursue a degree in Pure Mathematics.
However, I do not feel prepared, so I decided to dedicate a semester to re-teach myself again everything I learned during high school and even a little further. It seemed appropriate to ask here since since you are more experienced in the field.
Now getting to the point, I have planned two possible paths to take to relearn high school math, which I will describe below:
***Path 1:***
* Algebra by Gelfand and Shen
* Functions and Graphs by Gelfand, Glagoleva, and Shnol
* The Method of Coordinates by Gelfand, Glagoleva, and Kirillov
* Trigonometry by Gelfand and Saul
***Path 2:***
*From OpenStax textbooks:*
*Prealgebra
*Elementary Algebra
*Intermediate Algebra
*Algebra and Trigonometry
*Regardless of which of the two paths I take, I plan to read the following books:*
* Hammack's Book of Proof
* Kiselev's Geometry: Book I. Planimetry & Book II. Stereometry
* Basic Mathematics by Lang
* Stewart's Precalculus: Mathematics for Calculus
Note that the first path follows the recommendations specified in the wiki: <https://4chan-science.fandom.com/wiki/Math_Textbook_Recommendations>;, while the second is based on the recommendations made on the Mathematics subreddit.
With all this talk I wanted to get to the following questions:
1. Which of the two paths would you recommend me to follow to generate really solid foundations?
2. Would you criticize the book choice or the reading order?
3. What do you think about Euler's Elements of Algebra book?
4. Are there any other books that you recommend?
Sorry for the poor redaction, my native language is Spanish. And thanks in advance to everyone who takes the time to respond.
May God bless you all.
