Posted by **AvaxGenius** at Aug. 14, 2017

English | PDF | 2017 (2018 Edition) | 561 Pages | ISBN : 3319569511 | 6.39 MB

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities.

Posted by **step778** at July 13, 2017

2015 | pages: 141 | ISBN: 3319125192 | PDF | 4,4 mb

Posted by **interes** at May 28, 2016

English | 2016 | ISBN: 3037191562 | 154 pages | PDF | 0,9 MB

Posted by **avava** at Jan. 8, 2012

Publisher: American Mathematical Society | ISBN: 0821837494 | 2005 | PDF | 609 pages | 13.2 MB

Posted by **phidhahoogaya** at May 22, 2011

World Scientific Pub Co Inc | April 1985 | ISBN-10: 9971966158 | 518 pages | PDF | 29.14 MB

Structures on Manifolds (Series in Pure Mathematics, Part I, Monographs and Textbooks, Vol 3)

Kentaro Yano (Author), Masahiro Kon (Author)

Posted by **harrry** at June 10, 2009

Oxford University Press | September 21, 2000 | ISBN: 0198506015 | 448 pages | PDF | 5.39 mb

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Posted by **ChrisRedfield** at Aug. 10, 2017

Published: 2002-10-04 | ISBN: 0387955437, 1441930477 | PDF | 222 pages | 1.48 MB

Posted by **ChrisRedfield** at Aug. 10, 2017

Published: 2007-10-31 | ISBN: 0387738916, 144192535X | PDF | 299 pages | 1.4 MB

Posted by **ChrisRedfield** at Aug. 9, 2017

Published: 1987-11-23 | ISBN: 0387966269, 3540966269, 146126992X | PDF | 476 pages | 14.96 MB

Posted by **AvaxGenius** at July 24, 2017

This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the ory, gravitino potentials and Euclidean quantum gravity.