MathSciNet has tools for you to see what new journals have been added to the database and current publications in your field.
In MathSciNet, go to the top right menu select Free Tools. This will bring you to these four tabs to allow you to perform these functions.
RSS feeds bring content from the Web to you. For example the latest news, blog articles, scholarly articles, etc. are delivered to your feed reader.
For more information about how to set up a RSS reader, see this guide: http://guides.library.cornell.edu/rss
Sign up for TOC alerts directly from the journal publishers.
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RSS TOC Alerts: