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By John M. Ball (auth.), Paul Newton, Philip Holmes, Alan Weinstein (eds.)

Jerry Marsden, one of many world’s pre-eminent mechanicians and utilized mathematicians, celebrated his sixtieth birthday in August 2002. the development was once marked by means of a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for examine within the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with particularly short bills of analysis and technical advances provided on the assembly, we needed to recognize Jerry’s in?uence as a instructor, a propagator of latest rules, and a mentor of younger expertise. Con- quently, beginning in 1999, we sought to assemble articles that would be used as access issues by means of scholars attracted to ?elds which have been formed via Jerry’s paintings. while we was hoping to provide specialists engrossed of their personal technical niches a sign of the glorious breadth and intensity in their topics as an entire. This ebook is an consequence of the e?orts of these who accredited our in- tations to give a contribution. It offers either survey and study articles within the numerous ?elds that symbolize the most topics of Jerry’s paintings, together with elasticity and research, ?uid mechanics, dynamical platforms conception, g- metric mechanics, geometric keep an eye on conception, and relativity and quantum mechanics. the typical thread working via this wide tapestry is using geometric equipment that serve to unify diversified disciplines and produce a widevarietyofscientistsandmathematicianstogether,speakingalanguage which reinforces discussion and encourages cross-fertilization.

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