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Interdisciplinary Mathematics Constrained Mechanics And Lie Theory
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Book Synopsis Interdisciplinary Mathematics: Constrained mechanics and lie theory by : Robert Hermann
Download or read book Interdisciplinary Mathematics: Constrained mechanics and lie theory written by Robert Hermann and published by . This book was released on 1973 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constrained Mechanics and Lie Theory by : Robert Hermann
Download or read book Constrained Mechanics and Lie Theory written by Robert Hermann and published by Math-Sci Press. This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonholonomic Mechanics and Control by : A.M. Bloch
Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer. This book was released on 2015-11-05 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Book Synopsis Interdisciplinary Mathematics: Lie - theoretic ode numerical analysis, mechanics and differential systems by : Robert Hermann
Download or read book Interdisciplinary Mathematics: Lie - theoretic ode numerical analysis, mechanics and differential systems written by Robert Hermann and published by . This book was released on 1973 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonholonomic Mechanics and Control by : A.M. Bloch
Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer Science & Business Media. This book was released on 2007-09-27 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Book Synopsis Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems by : Robert Hermann
Download or read book Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems written by Robert Hermann and published by Math-Sci Press. This book was released on 1994 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Control Theory by : John B. Baillieul
Download or read book Mathematical Control Theory written by John B. Baillieul and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research.
Book Synopsis C-O-R Generalized Functions, Current Algebras, and Control by : Robert Hermann
Download or read book C-O-R Generalized Functions, Current Algebras, and Control written by Robert Hermann and published by Math Science Press. This book was released on 1994 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interdisciplinary Mathematics by : Robert Hermann
Download or read book Interdisciplinary Mathematics written by Robert Hermann and published by . This book was released on 1973 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Structures in Nonlinear Physics by : Robert Hermann
Download or read book Geometric Structures in Nonlinear Physics written by Robert Hermann and published by Math Science Press. This book was released on 1991 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Book Synopsis Geometric, Control and Numerical Aspects of Nonholonomic Systems by : Jorge Cortés Monforte
Download or read book Geometric, Control and Numerical Aspects of Nonholonomic Systems written by Jorge Cortés Monforte and published by Springer. This book was released on 2004-10-19 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.
Book Synopsis Geometrical Foundations of Robotics by : J. M. Selig
Download or read book Geometrical Foundations of Robotics written by J. M. Selig and published by World Scientific. This book was released on 2000 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of talks presented at the 1998 IEEE International Conference on Robotics and Automation. Broadly, the meeting discussed the application of modern geometrical methods to problems in robotics. There are now a few textbooks in this area and more papers in the literature. The aim of this book is to introduce these ideas, their simplicity and power, to a wider audience. The first three chapters give an introduction to the Lie group and Lie algebras. The focus is on the group of rigid body transformations in space, namely the Lie group which is fundamental to robotics. The following chapters provide an overview of some of the most up-to-date work in the field of geometrical methods in robotics and have been written by some of the leading researchers in the field. The applications addressed cover the design of robot kinematics, the analysis of singularities in robots and mechanisms, and a geometric view of some computational issues.
Book Synopsis Classical and Quantum Physics by : G. Marmo
Download or read book Classical and Quantum Physics written by G. Marmo and published by Springer Nature. This book was released on 2019-10-26 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics.Let us mention some of the fields of expertise of Alberto Ibort:Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others.In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic.His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed.
Book Synopsis Stochastic Geometric Mechanics by : Sergio Albeverio
Download or read book Stochastic Geometric Mechanics written by Sergio Albeverio and published by Springer. This book was released on 2017-11-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.
Book Synopsis Lie-Cartan-Ehresmann Theory by : Robert Hermann
Download or read book Lie-Cartan-Ehresmann Theory written by Robert Hermann and published by Interdisciplinary Mathematics. This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Dynamical Systems and Geometric Mechanics by : Jared M. Maruskin
Download or read book Introduction to Dynamical Systems and Geometric Mechanics written by Jared M. Maruskin and published by Solar Crest Publishing LLC. This book was released on 2012-04 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explores similar systems that instead evolve on differentiable manifolds. In the study of geometric mechanics, however, additional geometric structures are often present, since such systems arise from the laws of nature that govern the motions of particles, bodies, and even galaxies.In the first part of the text, we discuss linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the text begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms. The final chapters cover Lagrangian and Hamiltonian mechanics from a modern geometric perspective, mechanics on Lie groups, and nonholonomic mechanics via both moving frames and fiber bundle decompositions. The text can be reasonably digested in a single-semester introductory graduate-level course. Each chapter concludes with an application that can serve as a springboard project for further investigation or in-class discussion.
Book Synopsis Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems by : Robert Hermann
Download or read book Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems written by Robert Hermann and published by . This book was released on 1973 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: