From The Collaborative International Dictionary of English v.0.48:
resilience \re*sil"i*ence\ (r[-e]*z[i^]l"[i^]*ens), resiliency \re*sil"i*en*cy\ (r[-e]*z[i^]l"[i^]*en*s[y^]), n. 1. The act of springing back, rebounding, or resiling; as, the resilience of a ball or of sound. [1913 Webster]
2. The power or inherent property of returning to the form from which a substance is bent, stretched, compressed, or twisted; elasticity[1]; springiness; -- of objects and substances. [PJC]
3. Hence: The power or ability to recover quickly from a setback, depression, illness, overwork or other adversity; buoyancy; elasticity[2]; -- of people. [PJC]
4. (Mech. & Engin.) The mechanical work required to strain an elastic body, as a deflected beam, stretched spring, etc., to the elastic limit; also, the work performed by the body in recovering from such strain. [1913 Webster]