Mathematical analysis (Book recommendation)

[Motivanka]

I don't know is this good place to put this topic anyway I am on the first year of physics and I am struggling with mathematical analysis. I can't understand a lot of thngs that we are doing actually I can't even follow our lectures. I would be really grateful if someone recommend me a book that has fundamentals of math analysis and it is really good explained. All these books that were recommended by our professors are on really high level, it would be really great if there is a book that is for beginners os something like that.

 

[sk1105]

What exactly do you mean by mathematical analysis? Is there a specific problem to which you are trying to apply the technique?

 

[Motivanka]

To be more determined what I don't understand is theory. For example today we were doing " Definite integral of Darboux sum " and I couldn't follow, but in the last semester we were doing for example cauchy sequence and convergence,bolzano weierstrass theorem and these sequences and sums killed me :D I don't understand concept of theory, I don't know how to be more clearer.

 

[nuuskur]

I can tell you a few names. Fichtenholz and Rudin.

I am not sure if Fichtenholz's work is translated into English - I have the collection in Russian.

Not familiar with Rudin's work myself, but I hear his "Principles of mathematical analysis" is top-shelf material.

 

[jbunniii]

Take a look at Thomson and Bruckner, https://www.amazon.com/dp/143484367X/?tag=pfamazon01-20. I think it's one of the best introductory books. It is available as a printed book, but also as a free (legal) PDF

Another good choice is Abbott's https://www.amazon.com/dp/0387950605/?tag=pfamazon01-20.

 

[Motivanka]

Take a look at Thomson and Bruckner, https://www.amazon.com/dp/143484367X/?tag=pfamazon01-20. I think it's one of the best introductory books. It is available as a printed book, but also as a free (legal) PDF

Another good choice is Abbott's https://www.amazon.com/dp/0387950605/?tag=pfamazon01-20.

Thank you .. Some of these books seems very useful