Calculus Equivalent of Irodov for Advanced Maths?

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A user in their second semester of Computer Science Engineering seeks recommendations for advanced mathematics books, expressing dissatisfaction with their current texts, BS Grewal and Erwin Kreszig. They emphasize a desire for depth and problem-solving practice, likening their search to the challenging physics book Irodov, which they found instrumental in mastering concepts. They mention an interest in calculus, algebra, and differential equations. A suggested title is "Problem Solving Strategies" by Arthur Engel, noted for its focus on creative problem-solving skills and suitability for Olympiad preparation. Additionally, "Mathematical Analysis" by Zorich is recommended for its motivational approach. The discussion highlights the importance of finding resources that enhance understanding and problem-solving abilities in mathematics.
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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.
 
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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.
 
Mathematical analysis Zorich is good and well motivated
 
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