1 Introduction.- 2 Theoretical Background.- 3 Pathfollowing of Curves of Local Minimizers.- 4 Pathfollowing Along a Connected Component in the Karush-Kuhn-Tucker Set and in the Critical Set.- 5 Pathfollowing with Jumps in the Set of Local Minimizers and in the Set of Generalized Critical Points.- 6 Applications.- References and Further Reading.- Glossary of Symbols and Some Assumptions.Springer Book Archives