The most important point is the information gathering ability. Thus I present a list of works which might be helpful for the interested.
- Analysis 1
Analysis 2 (Multidimensional differentiation & integration, topological spaces etc.)
- Mathematical Analysis, Vladimir Zorich, Springer
- Analysis 1, Christian Blatter (www.math.ethz.ch/~blatter)
- Analysis, Otto Forster, Teubner Studienskripten
- Übungsbuch zur Analysis
- Schaum's Outlines of Calculus
- Ordinary Differential Equations, Vladimir I. Arnold, Springer
Theory of functions/complex analysis
- Mathematical Analysis, Vladimir Zorich, Springer (capter 8)
- Analysis 2, Vladimir Zorich, Springer
- Analysis 2, Christian Blatter (www.math.ethz.ch/~blatter)
- Übungsbuch zur Analysis 2, Teubner Studienskripten
- Vektoranalysis, Klaus Jänich, Springer
- Mass und Integral [for those who want to kill themselves
- Funktionentheorie, Klaus Jänich, Springer
- Funktionentheorie in der Ebene und im Raum
- An Introduction to the calculus of functions of one complex variable, Ahlfors, Cambridge University Press
- Complexe Analysis, D.Salmon
- Linear Algebra – An Introduction, R. Bronson, G.B. Costa, Academic Press
- Lineare Algebra, Klaus Jänich, Springer
- Lineare Algebra, Fischer, Teubner Studienskripten
- Übungsbuch zur Linearen Algebra, Teubner Studienskripten
- Schaums Outlines of Linear Algebra
From my very own experience I can recommend the scriptums of Christian Blatter as being quite fitting to physicists, without missing much on the finer aspects of mathematics. For those who like to take a look at more formal and less practical derivations (more theory) the Analysis 1 & 2 books by Zorich are recommended.
Especially for mathematics holds: The more you calculate the better you get!!!
(trust me, I know from my errors that this is true)
So get yourselves a book with tasks, as not nearly enough are provided in the lecture, and set off to calculate!