The book Comprehensive Engineering Mathematics, by John Bird seems to be good also not only for engineering but also for university physics. Since as far as I can see it is applied mathematics. And it covers from elementary arithmetic to very advanced topics like Fourier series. I wonder if it is adequate to study it to prepare me for physics in college, at least as essential mathematics to be able to understand physics at that level and in passing review elementary topics and thus have a strong foundation. And I ask specifically of this book, because there are other books that are mathematics for physics but I find that they have a pace that I can not follow, since they assume that you already know many things, and that you have no gaps of anything, and with this one I feel more comfortable.
Here I leave the link to the book, in case, whoever is so kind to answer, take a look at it: http://libgen.is/book/index.php?md5=8094DDC0DBBCFBCBB0857E03646346F3
Thank you very much in advance.
Generally an "engineering mathematics" text is much the same thing as a "physics mathematics" text. There is sometimes more emphasis on something like vectors in physics books but the difference is minimal and physics courses may well use an engineering book.
The book you've pointed to seems to start from what would be regarded as school-level mathematics, go through things like trigonometry, and build up to calculus and statistics.
Working through this book will be an excellent preparation for study in physics. However, it's not greatly suitable if you want to be a mathematician.