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I think that I'm not familiar with algebra, which consequently made me look for a book to achieve algebra skills. Do you have any advise?

Here are given what I'll be asked

Polynomials, Logarithmic functions, division, Rational Numbers, Inequalities, Absolute values, exponentials, radicals, Factoring, first degree equations, sets, functions, second degree equations, parabolas, complex numbers.

Regards!

Melz
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  • Algebra at what level? –  Jul 31 '18 at 11:29
  • @Brahadeesh High school. I'm preparing for exams. – Melz Jul 31 '18 at 11:31
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    Can you mention a few topics that you are expected to study for the exams? Such information will help you get relevant and broad suggestions. –  Jul 31 '18 at 11:34
  • @Brahadeesh Polynomials, Logarithmic functions, division, Rational Numbers, Inequalities, Absolute values, exponentials, radicals, Factoring, first degree equations, sets, functions, second degree equations, parabolas,complex numbers. – Melz Jul 31 '18 at 11:41
  • Do add these details into the body of the question for better visibility :) –  Jul 31 '18 at 11:41
  • @Brahadeesh See the new edit. I also want to learn everything, perhaps impossible but am just giving it a try. – Melz Jul 31 '18 at 11:43
  • Let us continue this discussion in chat. –  Jul 31 '18 at 11:44
  • There are many free resources on the web that will heip you learn or relearn this material. I suggest you search to find those that just match your current level of knowledge. Working problems will stretch you. Look for sites that suit your learning style. – Ethan Bolker Jul 31 '18 at 11:46
  • There is no "best textbook" I would "ever" recommend. – uniquesolution Jul 31 '18 at 13:06

2 Answers2

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I would highly recommend the Little Mathematics Library series of Mir Publishers. Some of the titles in the series that will be particularly relevant for you are:

  1. A. G. Kurosh - Algebraic Equations of Arbitrary Degrees
  2. A. I. Markushevich - Areas and Logarithms
  3. P. P. Korovkin - Inequalities

They do cover more material than may be required from the point of view of your exams, but they are wonderful to read nonetheless.

Since you mentioned that you want to learn as much as possible, I wouldn't mind adding a few general references that will surely interest you. Try:

  1. Courant and Robbins - What is Mathematics?
  2. Ian Stewart - The Foundations of Mathematics
  3. Ravi Vakil - A Mathematical Mosaic: Patterns and Problem Solving

In fact, it was largely thanks to Ravi Vakil's book that I decided to take up mathematics for my higher studies when I was completing high school.

All the very best.

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Discourses on Algebra, by Igor Shafarevich might be a good idea. At a more elementary level, you also have Algebra, by Israel Gelfand and Alexander Shen.

José Carlos Santos
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