Jesper Lützen

Joseph Liouville 1809-1882

Master of Pure and Applied Mathematics

• Gebundenes Buch

Produktbeschreibung

This scientific biography of the mathematician Joseph Liouville is divided into two parts. The first part is a chronological account of Liouville's career including a description of the institutions he worked in, his relations with his teachers, colleagues and students, and the historical context of his works. It portrays the French scientific community in a period when Germany and England had surpassed France as the leading nations in mathematics and physics. The second part of the book gives a detailed analysis of Liouville's major contributions to mathematics and mechanics. The gradual development of Liouville's ideas, as reflected in his publications and notebooks, are related to the works of his predecessors and his contemporaries as well as to later developments in the field. On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and electrodynamics. It also incorporates valuable added information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Sturm-Liouville theory, transcendental numbers, doubly periodic functions, geometry and mechanics.

Produktdetails

• Studies in History of Mathematics and Physical Sciences Vol.15
• Verlag: Springer, Berlin
• 1990
• Seitenzahl: 885
• Erscheinungstermin: 6. August 1990
• Englisch
• Abmessung: 242mm x 159mm x 46mm
• Gewicht: 1414g
• ISBN-13: 9780387971803
• ISBN-10: 0387971807
• Artikelnr.: 09223882

Inhaltsangabe

I. The Career of a Mathematician.
I. Youth (1809
1830).
II. Climbing the Academic Ladder (1830
1840).
III. Professor, Academician, and Editor (1840
1848).
IV. The Second Republic (1848
1852).
V. The Last Flash of Genius (1852
1862).
VI. Old Age (1862
1882).
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 Ampère's Force Law.
Appendix II. Liouville's Notes on Galois Theory.
Notes.
Unpublished Manuscripts and Other Archival Material.
List of J. Liouville's Published Works.
Other References.