Mathematics Research Guide

Start with one of these databases.

General math topics?  Use Math SciNet

Applied statistics topics? Use Current Index to Statistics

Teaching mathematics topics? Use ERIC (government version)

Cutting edge research? Use ArXiv's Mathematics category

Electronic Book Collections

MATHnetBASE contains every math book published by CRC.

Springer 2009 Ebooks (beta version of 2010 interface) contains the full-text of every math book published by Springer in 2009.

Lecture Notes in Mathematics (1997-present)

Electronic Journal Collections

I have provided these links for people who want to browse current issues.  If you are searching for all the articles on a particular topic, I recommend using MathSciNet or Current Index to Statistics.

AMS Journals

Math journals published by Springer

Full-text math journals published by Elsevier

Math journals published by Wiley

Major individual subscriptions

American Journal of Mathematics

SIAM Review

Historical Mathematics Texts

Historical Math Monographs from Cornell University Library

The University of Michigan Historical Mathematics Collection

AMS Books Online

Mathematical Literature from GDZ (Center for Retrospective Digitization, Göttingen)