My question is somewhat related to this one but is somewhat more specific. Since a lot of good mathematics is written in German, I have decided to start developing my German reading abilities. So far, my basic strategy has been to come upon some random German lecture notes in topology, analysis or algebra and together with Google translate work my way through random pages here-and-there. I think this basic approach will work for me, but I would like to be a little more methodical. I would like to add a few good German analysis texts to my library and begin working my way through those.
From the user t.b., in particular, I learned of the Analysis texts by Königsberger and since they come highly-recommended I will probably get these. I have also learned of the existence of a sequence of four texts by Storch and Wiebe:
- Band 1: Analysis einer Veränderlichen
- Band 2: Lineare Algebra
- Band 3: Analysis mehrerer Varänderlicher - Integrationstheorie
- Band 4: Analysis auf Mannigfaltigkeiten
I have been able to look at the tables of contents and they cover and tremendous amount of material; in fact, I know of no English equivalent. My question though concerns their pedagogical value; for those who are familiar with these texts, are they easy to learn from or are the basically specialist-level reference texts?
By way of comparison, for example, I find Royden's Analysis well-written and sufficiently detailed to follow. Rudin, not so much.
So if you are familiar with these texts and can comment on their pedagogical value or if you could suggest other German analysis (or algebra/topology) texts that would be good to read, I would appreciate your comments.