TITLE: Translation of Weber's Lehrbuch der Algebra vol 1, 2, 3
QUESTION [8 upvotes]: I have been trying to study elliptic functions and theta function for quite some time and have already got the hang of the classical theory (Jacobi/Ramanujan) based on real analysis, and now would like to study the arithmetical part related to imaginary quadratic fields and their relation to elliptic functions. Having very limited knowledge of Group Theory and Galois Theory (and things covered under Modern/Abstract Algebra) I tried to find classical references and stumbled upon Weber's Algebra, but unfortunately it is in German. Does anyone know if an English translation exists and if so how can it be obtained?
If there is no English translation available can someone point out any good references for "Imaginary quadratic fields and their relation to elliptic functions" keeping in view my very limited knowledge of Abstract Algebra.

REPLY [2 votes]: A translation of the original might not exist as such. However edification might be found in alternate sources. Some books that might of interest to you are:

A. Weil, Elliptic Functions According to Eisenstein and Kronecker.

I do not consider Weil to be the best introduction; but in principle you should be able to read this book with some background in complex analysis/algebra.
The other book that might interest you is 

G. Shimura,  Introduction to the arithmetic theory of automorphic functions. 

Again I do not know if this is the most optimal book; for example the author uses a very old language for algebraic geometry. But in principle you will be able to read it. At least at the start.
Much more accessible than Shimura will be the last chapter of the book,

J.-P. Serre, A course in Arithmetic.



Another very relevant reference is S. G. Vladut's "Kronecker's Jugendtraum and Modular Functions". Parts of this may be too advanced for your present state of knowledge, unfortunately. Still you might find some introductory parts advantageous.