I was a computer science student but due to some unfortunate events I had to halt my studies. Now I'd like to continue studying, but somehow the sheer power and beauty of mathematics has struck me, and I'd really like to change my career path towards it.
To put it simple, I'd like ask you, the experts, for books and other material that I could use to hone my mathematics skills, in preparation for a full study of mathematics at my local university. It's been a while since I've had to use mathematics, so a refresher would be no luxury. Because I was enrolled in a computer science course, I do have some experience, but I'd really like to fill the gaps that have grown in my knowledge and be as prepared as I can be.
Any references are much appreciated!
Some related questions:
1 I had this textbook recommended for my first year BSc logic and set theory modules, this book won't make you a great mathematician on it's own but it will certainly teach you how to approach a lot of problems in a more mathematical way.
2 For the basics of calculus I would recommend Schaum's outlines. This fantastic series of books covers most topics and has countless worked problems to help with your understanding. As before this book won't make you an expert but since you're asking about a way in to Maths this is what I would recommend.
I hope you find these books interesting and engaging. The best advice I can give is to actively work on problems that you find challenging and to not be afraid of failure. Best of luck with your studies.