Is there anywhere I can acquire a collection of all Mathematical undergraduate textbooks by the same publishing author, or authors(so that they are similarly written) and can be completed in a logical order.
I feel as though this would remove any issues in regards to prerequisite knowledge, as I would know everything required for progression to the next topic.
I don't care for statistics, but I would like textbooks/notes for Analysis, Topology and Algebra.
Pdf form provided legally by the author is very much preferred.
Perhaps no author(s)/publisher(s) have ever done this, perhaps no-one knows the three fields sufficiently to do such. Thank you for your time.
Note: I am $14$ and live on my own, I am unlikely to be able to afford numerous textbooks.
I don't know which authors cover all 3, but you may try books of Rudin and Serge Lang.
Rudin is more about analysis, but he also equips you necessary topology to go further (try his Principles of Mathematical analysis, where he introduces topology first, and then go to other topics in analysis, I find it very pedagogical). However his writing is very concise and quite often, not easy to understand. Here are his 3 most famous books: - Principles of mathematical analysis. - Real and complex analysis. - Functional analysis.
Serge Lang has many books (mostly in algebra, as he is more about algebra), and his writing is easy to understand. You may try some following books: - Undergraduate analysis. - Undergraduate algebra. - Linear algebra.
Personally, I find Serge Lang is more appropriate for basic undergraduate level, whereas Rudin is better for an advanced one. For downloading, just google.