Joseph Liouville 1809 1882

31-03, 51-03, 53-03, 80-03, 78-03, 11-03 Library of Congress Cataloging-in-Publication Data Joseph Liouville, 18091882; master of pure and applied mathematics/ Jesper Lützen p. cm.—(Studies in the history of mathematics and physical ...

Author: Jesper Lützen

Publisher: Springer Science & Business Media

ISBN: 1461209897

Category: Mathematics

Page: 885

View: 718

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 On the basis of Liouville's unpublished notes the book reconstructs Liouville's hitherto unknown theories of stability of rotating masses of fluid, potential theory, Galois theory and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.

Vita Mathematica

A detailed account is given by Jesper Lutzen in Sections 14-41 of Chapter IX of Joseph Liouville , 1809-1882 , Master of Pure and Applied Mathematics ( New York - BerlinHeidelberg : Springer - Verlag ...

Author: Ronald Calinger

Publisher: Cambridge University Press

ISBN: 9780883850978

Category: Mathematics

Page: 380

View: 734

Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.

Remarkable Mathematicians

JOSEPH LIOUVILLE ( 1809-1882 ) For the next profile we return to France . Joseph Liouville made significant contributions to number theory , differential geometry , celestial mechanics , and rational mechanics .

Author: Ioan James

Publisher: Mathematical Association of America

ISBN: 9780521817776

Category: Mathematics

Page: 286

View: 706

Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements. The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.

Calculus Gems

A.29 LIOUVILLE ( 1809-1882 ) I would rather discover one cause than be King of Persia . Democritus Joseph Liouville was a highly respected professor at the Collège de France in Paris and the founder and editor of the Journal des ...

Author: George F. Simmons

Publisher: MAA

ISBN: 9780883855614

Category: Mathematics

Page: 386

View: 364

Demonstrates the profound connections that join mathematics to the history of philosophy.


Number Theory in the Spirit of Liouville

Kenneth S. Williams. Dedicated to my granddaughter ISABELLE SOFIE OLSEN born January 11, 2009 and to the memory of JOSEPH LIOUVILLE March 24, 1809–September 8, 1882 Contents Preface page xi Notation xiii 1 Joseph Liouville (18091882)

Author: Kenneth S. Williams

Publisher: Cambridge University Press

ISBN: 1107002532

Category: Mathematics

Page: 307

View: 215

A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.

Spectral Theory Computational Methods of Sturm Liouville Problems

Preface A conference on Sturm - Liouville problems was held at the University of Tennessee , in conjunction with the ... In the period 1836-38 , Charles - Francois Sturm ( 1803-1855 ) and Joseph Liouville ( 1809-1882 ) published a ...

Author: Don Hinton

Publisher: CRC Press

ISBN: 9780824700300

Category: Mathematics

Page: 422

View: 206

Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the field as well as describing applications and concepts.

The Math Book

Transcendental Numbers Joseph Liouville ( 18091882 ) , Charles Hermite ( 1822–1901 ) , Ferdinand von Lindemann ( 1852-1939 ) e = a In 1844 , French mathematician Joseph Liouville considered the following interesting number ...

Author: Clifford A. Pickover

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402757969

Category: Mathematics

Page: 532

View: 482

This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

Zero Dimensional Commutative Rings

Preface A conference on Sturm - Liouville problems was held at the University of Tennessee , in conjunction with the ... In the period 1836-38 , Charles - Francois Sturm ( 1803-1855 ) and Joseph Liouville ( 1809-1882 ) published a ...

Author: David F. Anderson

Publisher: CRC Press

ISBN: 9780824796051

Category: Mathematics

Page: 820

View: 972

This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.

Encyclopedia of Mathematics Education

Joseph Liouville, 1809-1882, Master of Pure and Applied Mathematics. New York: Springer-Verlag, 1990. GEORGE E. ANDREWS Gale, David, Harold W. Kuhn, and Albert W. Tucker. “Linear Programming and the Theory of Games.

Author: Louise Grinstein

Publisher: Routledge

ISBN: 1136787232

Category: Education

Page: 912

View: 803

First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.