Joseph Liouville 18091882: Master of Pure and Applied Mathematics [Hardcover]

I. The Career of a Mathematician.- I. Youth (18091830).- II. Climbing the Academic Ladder (18301840).- III. Professor, Academician, and Editor (18401848).- IV. The Second Republic (18481852).- V. The Last Flash of Genius (18521862).- VI. Old Age (18621882).- II. Mathematical Work.- VII. Juvenile Work.- VIII. Differentiation of Arbitrary Order.- IX. Integration in Finite Terms.- X. Sturm-Liouville Theory.- XI. Figures of Equilibrium of a Rotating Mass of Fluid.- XII. Transcendental Numbers.- XIII. Doubly Periodic Functions.- XIV. Galois Theory.- XV. Potential Theory.- XVI. Mechanics.- XVII. Geometry.- Appendix I. Liouville on Amp?res Force Law.- Appendix II. Liouvilles Notes on Galois Theory.- Notes.- Unpublished Manuscripts and Other Archival Material.- List of J. Liouvilles Published Works.- Other References.