What is the best/user friendly GIS/arcGIS Java library for basic academic assignment?
I haven't used it myself - but you might start by taking a look at GeoTools:
http://www.geotools.org/
Sample app tutorial: http://www.ibm.com/developerworks/opensource/library/os-kmlservice/index.html?ca=drs-
Java Topology Suite is a good option for 2D spatial operations. http://www.vividsolutions.com/jts/jtshome.htm
Esri released our Java Geometry engine under the open-source apache license.
https://github.com/Esri/geometry-api-java
It should cover most, if not all, of the geometry operations that you need.
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