Computer and Mathematics News. From quantum computers to the value of statistics, read the latest math and computer news. Updated daily. Explore a wide range of recent research in mathematics. From mathematical modeling to why some people have difficulty learning math.
Not especially up-to-date, but there are interesting articles about significant advances in the field.
Reference books, whether in paper or online, can give background and depth, as well as definitions, basic knowledge, scope of the topic area, important people and statistics, and some citations to get you started.