An Epimer is a stereoisomer of another compound that varies in its configuration at only one of the chiral centres.
For example beta-D-glucopyranose and alpha-D-mannopyranose are epimers.

An anomer is also a type of epimer,it is more specifically used in sugar chemistry.It is a stereoisomer of a saccharide (in the cyclic form) that differs only in its configuration at the hemiacetal or hemiketal carbon, also called the anomeric carbon.

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http://www.goiit.com/posts/list/organic-chemistry-how-we-can-differentiate-between-epimers-and-915176.htm

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epimer

A type of isomer in which the difference between the two compounds is the relative position of the H (hydrogen) group and OH (hydroxyl) group on the last asymmetric C (carbon) atom of the chain, as in the sugars D-glucose and D-mannose .

anomers

One of a pair of isomers of cyclic carbohydrates; resulting from creation of a new point of symmetry when a rearrangement of the atoms occurs at the aldehyde or ketone position !!!!