Table of Contents

I: Childhood and Education.- 1. Biography: 1850–1874.- 2. Partial Differential Equations.- 3. Degenerate Abelian Integrals.- 4. The Shape of Saturn’s Rings.- II: Mature Life.- 5. Biography: 1875–1891.- 6. The Lamé Equations.- 7. The Euler Equations.- 8. Bruns’ Theorem.- 9. Evaluations.- III: Appendices and Bibliography.- Appendices.- Appendix 1. The Method of Majorants.- Appendix 2. Some Complex Analysis.- Appendix 3. Weierstrass’ Formula.- Appendix 4. Derivation of Euler’s Equations.- Appendix 5. Calculus of Variations.- Appendix 6. Jacobi’s Last-Multiplier Method.