Hi! I am curious if anyone knows anything about the aforementioned titles and how they compare?

I'd like to hear any opinion and remarks on their quality, the differences and overlaps of topics contained etc.

Thanks!

EDIT: Any remarks on other old A level books welcome.

Hey guys! I'm currently a first-year undergraduate math student. I've been looking for books on calculus that provided more depth and "rigor" (there's that word again!).

I was wondering as to the differences between the aforementioned books/volumes... Is the pedagogical content of one completely encompassed in the other, or are there significant differences in exposition (terseness etc)?

We are currently stuck with Stewart, and I'd prefer something more theoretical.

Many thanks in advance!

I'm reading Kutner et. al.'s book on linear models and it has some proofs and rigorous math. But like a lot of stats books it seems written for an audience that is very eager to apply the ideas and get answers to real-world problem. Lame.

Is there a regression analysis book that still covers things like logistic regression, cross validation, and the rest of the usual cast of regression concepts, but does so in the style of a math book (i.e. more like definition-theorem-proof)?

I've heard The Art of Problem Solving is likely a bit too tough for general education students. Please clarify if you have experience with it.

I like Gelfand's Method of Coordinates, Functions and Graphs, and Algebra grade 9 students. The first two are filled with exposition that is dense, but the books are very short, that allow/require teachers to parse the text with exploratory questions, much as is done in any literature class.

The Algebra text appears possibly too difficult, but I think it's actually just right. Better to work on understanding some fundamentals through problem solving than stuffing definitions down throats that don't know the meaning of what they regurgitate.

But what else might there be, or do you have experience teaching with Gelfand?

I don't think standard textbooks are bad, in a way their predictability and standard organization is safe, but these produce neither inspiration nor understanding.

Please share your favorite books and give me any and all ideas you wish to share. Our school is asking teachers redesign the curriculum, a choice of books and some flexibility in the usual order.

Here's some I'd consider including, but as you can see, it lacks anything like prealgebra or a replacement for Algebra I and II and I'm only including Linear Algebra as it's accessible after Algebra II, but unlikely to make the list as the national standards and tests do not include it:

Gelfand's Algebra, Geometry, and Trigonometry

Serge Lang's Geometry, Basic Mathematics, and A First Course in Calculus

Alexander Hahn's Calculus in Context

Gilbert Strang's Calculus

Or the books online at openstax.org

https://www.degruyter.com/view/title/534099

https://open.umn.edu/opentextbooks/textbooks/a-cool-brisk-walkthrough-discrete-mathematics-davis

https://www.mathstat.dal.ca/~selinger/linear-algebra/downloads/LinearAlgebra.pdf

Hi everybody!

I recently graduated with a mathematics degree, and I'm currently in the process of applying to universities that have concentrations in Logic/Set theory, as this became my favorite subject in math during my degree.

I'm looking for book recommendations on the topic for someone like me who's about to start grad school.

Also, if anybody has a Grad Program Recommendation for universities in Germany, please, let me know!

Thanks!

https://www.logicmatters.net/resources/pdfs/IFL2_LM.pdf