Applications of Global Analysis in Mathematical Physics [By] Jerry Marsden
Author | : Jerrold E. Marsden |
Publisher | : |
Total Pages | : 273 |
Release | : 1974 |
Genre | : Global analysis (Mathematics) |
ISBN | : |
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Author | : Jerrold E. Marsden |
Publisher | : |
Total Pages | : 273 |
Release | : 1974 |
Genre | : Global analysis (Mathematics) |
ISBN | : |
Author | : Jerrold E. Marsden |
Publisher | : |
Total Pages | : 292 |
Release | : 1993 |
Genre | : Global analysis (Mathematics) |
ISBN | : |
Author | : Jerrold E. Marsden |
Publisher | : |
Total Pages | : 558 |
Release | : 1973 |
Genre | : Functional analysis |
ISBN | : |
Author | : Yvette Kosmann-Schwarzbach |
Publisher | : Springer Science & Business Media |
Total Pages | : 211 |
Release | : 2010-11-17 |
Genre | : Mathematics |
ISBN | : 0387878688 |
In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.
Author | : Library of Congress |
Publisher | : |
Total Pages | : 944 |
Release | : 1975 |
Genre | : Monographic series |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1374 |
Release | : 1982 |
Genre | : Science |
ISBN | : |
Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.
Author | : Paul Newton |
Publisher | : Springer Science & Business Media |
Total Pages | : 573 |
Release | : 2006-05-11 |
Genre | : Mathematics |
ISBN | : 0387217916 |
Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.
Author | : |
Publisher | : |
Total Pages | : 1858 |
Release | : 1985 |
Genre | : Monographic series |
ISBN | : |
Vols. for 1980- issued in three parts: Series, Authors, and Titles.