Joseph Liouville 1809-1882 : Master of Pure and Applied Mathematics (eBook, 1990) [WorldCat.org]
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Joseph Liouville 1809-1882 : Master of Pure and Applied Mathematics

Author: Jesper Lützen
Publisher: New York, NY : Springer New York, 1990.
Series: Studies in the history of mathematics and physical sciences, 15.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jesper Lützen
ISBN: 9781461209898 1461209897 9781461269731 1461269733
OCLC Number: 853258660
Language Note: English.
Description: 1 online resource (xxxviii, 885 pages)
Contents: 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Unpublished Manuscripts and Other Archival Material --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.
Series Title: Studies in the history of mathematics and physical sciences, 15.
Responsibility: by Jesper Lützen.

Abstract:

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.

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