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Manifolds, Tensor Analysis, and Applications
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a …
Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these …
Hamiltonian Reduction by Stages
In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special …
Geometry, Mechanics, and Dynamics
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always …
Introduction to Mechanics and Symmetry
Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic …
The Geometry of Hamiltonian Systems
The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at …
Momentum Maps and Hamiltonian Reduction
The use of the symmetries of a physical system in the study of its dynamics has a long history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …
Einführung in die Mechanik und Symmetrie
Symmetrie hat in der Mechanik schon immer eine große Rolle gespielt - von der grundlegenden Formulierung elementarer Theorien bis hin zu konkreten Anwendungen. Thema dieses Buches …