Lagrangian Reduction by Stages - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lagrangian Reduction by Stages write by Hernán Cendra. This book was released on 2001. Lagrangian Reduction by Stages available in PDF, EPUB and Kindle. This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian reduction by stages. The Lagrangian reduction procedure focuses on the geometry of variational structures and how to reduce them to quotient spaces under group actions. This philosophy is well known for the classical cases, such as Routh reduction for systems with cyclic variables (where the symmetry group is Abelian) and Euler-Poincare reduction (for the case in which the configuration space is a Lie group) as well as Euler-Poincare reduction for semidirect products.
Hamiltonian Reduction by Stages
Hamiltonian Reduction by Stages - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Reduction by Stages write by Jerrold E. Marsden. This book was released on 2007-06-05. Hamiltonian Reduction by Stages available in PDF, EPUB and Kindle. This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
Lagrangian Reduction by Stages
Lagrangian Reduction by Stages - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lagrangian Reduction by Stages write by Hernán Cendra. This book was released on 2014-09-11. Lagrangian Reduction by Stages available in PDF, EPUB and Kindle. Introduction Preliminary constructions The Lagrange-Poincare equations Wong's equations and coordinate formulas The Lie algebra structure on sections of the reduced bundle Reduced tangent bundles Further examples The category $\mathfrak{LP}^*$ and Poisson geometry Bibliography.
Mathematics Unlimited - 2001 and Beyond
Mathematics Unlimited - 2001 and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics Unlimited - 2001 and Beyond write by Björn Engquist. This book was released on 2017-04-05. Mathematics Unlimited - 2001 and Beyond available in PDF, EPUB and Kindle. This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.
Momentum Maps and Hamiltonian Reduction
Momentum Maps and Hamiltonian Reduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Momentum Maps and Hamiltonian Reduction write by Juan-Pablo Ortega. This book was released on 2013-04-17. Momentum Maps and Hamiltonian Reduction available in PDF, EPUB and Kindle. * Winner of the Ferran Sunyer i Balaguer Prize in 2000. * Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and symplectic manifolds. * Currently in classroom use in Europe. * Can serve as a resource for graduate courses and seminars in Hamiltonian mechanics and symmetry, symplectic and Poisson geometry, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.
