J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.

'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text.' Mathematics Today

• 1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.

J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.

'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text.' Mathematics Today

• 1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.

J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.

'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text.' Mathematics Today

• 1. The 'simple' pendulum; 2. Jacobian elliptic functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; 5. The Jacobian elliptic functions for complex k; 6. Introduction to transformation theory; 7. The Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; 10. An application of elliptic functions in algebra solution of the general quintic equation; 11. An arithmetic application of elliptic functions; 12. Applications in mechanics and statistics and other topics; Appendix; Bibliography.