Equivalent of Irodov for Advanced Maths?

[Maths Absorber]

Hello there friends,

I'm new here. I'm in my second semester of Computer Science Engineering. I've always loved Maths but was never quite great in Physics in school. I Keep getting this feeling that the current books I'm using aren't delivering the sufficient depth (BS Grewal and Erwin Kreszig). I like doing Maths a lot and would like to hear some recommendations for some good books for advanced Maths.

I remember how in eleventh and twelfth, Irodov was by far the hardest book for Physics. And how if anyone solved it end to end, they'd have a crystal clear understanding of the subject. So, I was wondering if there's an equivalent in Maths ?

I would like the book to have some solved problems so I know where to start. As far as topics go, Calculus and Algebra is cool. I like differential equations a lot but in general, I'm very eager to learn.

Thanks in advance.

 

[SredniVashtar]

I can suggest a name: Vladimir Arnold.

 

[Maths Absorber]

I found a book that meets the criteria. I wanted to improve my problem solving skills and planned on doing Irodov because of the reputation it had. Unfortunately, I don't feel that comfortable with it being a Physics book and prefer Maths.

Problem Solving Strategies - Arthur Engel ... Was exactly the kind of book I was looking for. It was a Godsend. Like Irodov, it is used for Olympiad preparation. Like Irodov, it too uses problems that hone creative problem solving skills. Like Irodov, it's problems can be understood by a high school level of the subject and is challenging in the application of skill rather than advancement of knowledge.
In short, it's perfect.

So, I thought I'd post it here in case anybody ever has the same question.

 

[Martin T]

Mathematical analysis Zorich is good and well motivated