Mondayman said:I used Basic Mathematics, and Geometry by Serge Lang. These books served me well before taking calculus.
I found algebra 2 and trigonometry to be a sufficient enough background. The problems that require proofs aren't really rigorous. They'll require more effort than most students are used to at that point, but it's a good stepping stone for calculus. At least, that's how I felt about it. The books you mentioned are just as suitable.bacte2013 said:I like that book but I think it assumes some mathematical maturity from the prospective students. I assume OP does not have suitable proof skills. I did not read Geometry book yet...
I do not think Lang, Gelfand, and Oakley/Allendoerfer are hard to find; you can get them for fairy cheap prices compared to "modern" textbooks.Mockapp said:Would there happen to be any more recent books (that might be easier to find) that you would recommend.
Thank you for your time and recommendations.
smodak said:You want to have strong fundamentals and have some fun doing so over summer? Look no further than ...
What Is Mathematics? An Elementary Approach to Ideas and Methods by Courant.
https://www.amazon.com/dp/0195105192/?tag=pfamazon01-20
For some variety add in
No bullshit guide to math and physics by Savov
https://www.amazon.com/gp/product/0992001005/?tag=pfamazon01-20
Try and see the Amazon previews and see if you like what you see; I believe you will. Hope this helps.
I really like it. You can look at a significant portion of the book in Amazon look inside preview to get an idea.bacte2013 said:How is Courant's book? I have been hearing good things about that book, and I am curious what audiences does it gear for?
I was really referring to Oakley/Allendoerfer texts, which are the ones I was trying to find last night. I was able to look at the books by Gelfand and quite like them from what I can tell. How are the problems in the Gelfand books? as keeping in practice is also one of my main goals.I do not think Lang, Gelfand, and Oakley/Allendoerfer are hard to find; you can get them for fairly cheap prices compared to "modern" textbooks.
Mockapp said:I was really referring to Oakley/Allendoerfer texts, which are the ones I was trying to find last night. I was able to look at the books by Gelfand and quite like them from what I can tell. How are the problems in the Gelfand books? as keeping in practice is also one of my main goals.
The book by Savov looks quite nice too, I might reference it next year when I begin calculus and physics.
Would you by any chance be able to give an example of what you mean by better exposition and insights?bacte2013 said:I think Gelfand has more challenging problems than Oakley/Allendoerfer, but O/A has better exposition and insights (in my opinion). Gelfand is not typical pre-calculus books that filled with routine exercises.
Mockapp said:I was really referring to Oakley/Allendoerfer texts, which are the ones I was trying to find last night. I was able to look at the books by Gelfand and quite like them from what I can tell. How are the problems in the Gelfand books? as keeping in practice is also one of my main goals.
The book by Savov looks quite nice too, I might reference it next year when I begin calculus and physics.
The purpose of summer practice recommendations is to provide guidance and suggestions for students to continue learning and practicing academic skills during their summer break.
Summer practice recommendations are typically created by educators, such as teachers or curriculum specialists, who are familiar with the academic standards and expectations for students at a particular grade level.
Summer practice recommendations may include a variety of activities such as reading, writing, math practice, and hands-on learning experiences. These activities are designed to reinforce and enhance the skills and concepts that students have learned during the school year.
No, summer practice recommendations are not mandatory. They are meant to be a helpful resource for students and families, but it is ultimately up to the individual to decide if they want to participate in the suggested activities.
Summer practice recommendations can benefit students by preventing the "summer slide," which is a decline in academic skills and knowledge over the summer break. These recommendations can also help students stay engaged in learning and prepare them for the upcoming school year.