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## Main Question or Discussion Point

Hi all,

So I'm finishing my first year in college and I did Calculus(based on Stewart). However, I don't feel I learned a lot during this year. There were not many proofs, the only proofs I studied was induction and contradiction(and some proofs in Stewart).

I honestly do not like the book at all, except for it's exercises. So now I feel I should take calculus from the beginning in a proof-wise manner(not sure if this makes sense) and move on to self-learning more higher level math before next year.

Basically for next year, I will have Advanced Calculus, Linear Algebra, Real Analysis and Introductory Algebra, in that order.

Now I'm been searching a lot for books and a lot have come which really peeked my interest. I literally want to buy them all(probably the cheap used ones or the cheap ones which are of bad quality print) but I;m not sure what books I have to get to get a complete undergraduate mathematics knowledge.

So here are the books I already own:

- Stewart Calculus 4e (duh)

- Spivak Calculus

- Apostol Calculus V1 and V2.

I bought Apostol and Spivak because they were highly recommended but never got the chance to work through each of them. They look hard but they seem to be extremely enlightening, specially Apostol which goes really in depth with theorems and proofs.

So I'm thinking going through these 2 books for now but then I need books which will cover the topics I'll do next year.

Here's what I found during my search:

- Naive Set Theory by Halmos

- What is Mathematics by Courant (I actually already ordered it)

- Differential and Integral Calculus V1 and V2 by Courant

- Introduction to Calculus and Analysis V1 and V2 by Courant

- Principles of Analysis by Rudin

- Real and Complex Analysis by Rudin (not sure which one to choose among the Rudin books)

- Linear Algebra done right by Axler

- Linear Algebra by Hoffman

- Linear Algebra by Strang (got the videos online)

- Introductory Real Analysis by Kolmogorov

- Mathematical Analysis by Apostol

- Functional Analysis by Rudin

So the list above is what I found but I'm pretty sure some books from one author may cover mostly the same stuff as another author, but I don't know, thus this post.

If you have more suggestion of books please post them here.

Thanks :)

So I'm finishing my first year in college and I did Calculus(based on Stewart). However, I don't feel I learned a lot during this year. There were not many proofs, the only proofs I studied was induction and contradiction(and some proofs in Stewart).

I honestly do not like the book at all, except for it's exercises. So now I feel I should take calculus from the beginning in a proof-wise manner(not sure if this makes sense) and move on to self-learning more higher level math before next year.

Basically for next year, I will have Advanced Calculus, Linear Algebra, Real Analysis and Introductory Algebra, in that order.

Now I'm been searching a lot for books and a lot have come which really peeked my interest. I literally want to buy them all(probably the cheap used ones or the cheap ones which are of bad quality print) but I;m not sure what books I have to get to get a complete undergraduate mathematics knowledge.

So here are the books I already own:

- Stewart Calculus 4e (duh)

- Spivak Calculus

- Apostol Calculus V1 and V2.

I bought Apostol and Spivak because they were highly recommended but never got the chance to work through each of them. They look hard but they seem to be extremely enlightening, specially Apostol which goes really in depth with theorems and proofs.

So I'm thinking going through these 2 books for now but then I need books which will cover the topics I'll do next year.

Here's what I found during my search:

- Naive Set Theory by Halmos

- What is Mathematics by Courant (I actually already ordered it)

- Differential and Integral Calculus V1 and V2 by Courant

- Introduction to Calculus and Analysis V1 and V2 by Courant

- Principles of Analysis by Rudin

- Real and Complex Analysis by Rudin (not sure which one to choose among the Rudin books)

- Linear Algebra done right by Axler

- Linear Algebra by Hoffman

- Linear Algebra by Strang (got the videos online)

- Introductory Real Analysis by Kolmogorov

- Mathematical Analysis by Apostol

- Functional Analysis by Rudin

So the list above is what I found but I'm pretty sure some books from one author may cover mostly the same stuff as another author, but I don't know, thus this post.

If you have more suggestion of books please post them here.

Thanks :)