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Notation list Preface 1. Introduction 2. Uniform inviscid liquid sheets 3. Nonuniform inviscid liquid sheets 4. Viscous liquid sheets 5. Waves on liquid sheets 6. Phenomena of jet breakup 7. Inviscid jets 8. A viscous jet 9. Roles played by interfacial shear 10. Annular liquid jets 11. Nonlinear capillary instability of liquid jets and sheets 12. Epilogue.