Exponential Diophantine Equations

Part I. Preliminaries: Part II. Diophantine equations and recurrence sequences: 1. Purely exponential equations 2. Binary recurrence sequences with rational roots 3. Binary recurrence sequences 4. Recurrence sequences of order 2, 3 and 4 5. The Thue equation 6. The superelliptic equation 7. The Thue-Mahler equation 8. The generalised superelliptic equation 9. Perfect powers in binary recurrence sequences 10. Perfect powers at integral values of a polynomial 11. The Fermat equation 12. The Catalan equation and related equations.