2 years ago
Thurs Oct 13, 2022 3:08pm PST
Ask HN: What are the best general math workbooks?
By saying general math in the title I mean all of the following (in American way):

- Algebra 1, 2

- Geometry

- Precalculus

- Calculus 1, 2, 3

- Statistics and Probability

- Discrete Math

- Linear Algebra

- Differential Equations

But especially these two:

- Calculus 1, 2, 3

- Linear algebra

I am currently studying at a non-english university in a technical specialty involving math (Calculus and Linear Algebra, to be exact). Right now the workload is 3-4 hours of classes a week, which is painfully low. And after a second year, apparently even less time will be spent on it. My English is good enough to consume math content, so that's not an issue. As well as explanations: I have already found and used resources (both in English and my mother tongue) to self-study fast enough to submit my homework.

What actually is an issue are workbooks (or exercise books, whatever you call it). All the workbooks by which we study vary in quality and there are library shortages. The authors are almost always dropping easy exercises right after the start of the paragraph in favor of much more complex ones.

Since I can buy books on Amazon or acquire PDFs using other methods I am asking for your advice on picking general math workbooks that fall under all of the following criteria:

1. There is a shit ton of exercises in the book, varying greatly in their complexity. You can't solve the book in a month or two even if you study 24/7. This way it's suitable for spaced repetition.

2. The author does not sacrifice easy stuff for hard stuff and vice versa.

3. The answers are given to all of the exercises, no matter the complexity.

4. The solutions, however, are unnecessary.

5*. The workbook itself may actually be some online platfrom like Grasple.

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