Editing Experimental mathematics (section)

==Objectives and uses==
The objectives of experimental mathematics are "to generate understanding and insight; to generate and confirm or confront conjectures; and generally to make mathematics more tangible, lively and fun for both the professional researcher and the novice".<ref>{{cite book |title= Mathematics by Experiment: Plausible Reasoning in the 21st Century|last= Borwein|first= Jonathan |author2=Bailey, David|year= 2004|publisher= A.K. Peters|isbn= 978-1-56881-211-3|pages=vii}}</ref>

The uses of experimental mathematics have been defined as follows:<ref>{{cite book |title= Mathematics by Experiment: Plausible Reasoning in the 21st Century|last= Borwein|first= Jonathan |author2=Bailey, David|year= 2004|publisher= A.K. Peters|isbn= 978-1-56881-211-3|pages=2}}</ref>

#Gaining insight and intuition.
#Discovering new patterns and relationships.
#Using graphical displays to suggest underlying mathematical principles.
#Testing and especially falsifying conjectures.
#Exploring a possible result to see if it is worth formal proof.
#Suggesting approaches for formal proof.
#Replacing lengthy hand derivations with computer-based derivations.
#Confirming analytically derived results.