Interdisciplinary Mathematics: Constrained mechanics and lie theory

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Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.3/5 (91 download)

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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:

Constrained Mechanics and Lie Theory

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Publisher : Math-Sci Press
ISBN 13 : 9780915692439
Total Pages : 288 pages
Book Rating : 4.6/5 (924 download)

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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:

Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems

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Publisher : Math-Sci Press
ISBN 13 : 9780915692453
Total Pages : 286 pages
Book Rating : 4.6/5 (924 download)

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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:

Lie Groups, Physics, and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 113946907X
Total Pages : 5 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Lie Groups, Physics, and Geometry by : Robert Gilmore

Download or read book Lie Groups, Physics, and Geometry written by Robert Gilmore and published by Cambridge University Press. This book was released on 2008-01-17 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

Galois' Theory Of Algebraic Equations (Second Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814704717
Total Pages : 325 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Galois' Theory Of Algebraic Equations (Second Edition) by : Jean-pierre Tignol

Download or read book Galois' Theory Of Algebraic Equations (Second Edition) written by Jean-pierre Tignol and published by World Scientific Publishing Company. This book was released on 2015-12-28 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as 'group' and 'field'. A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.

C-O-R Generalized Functions, Current Algebras, and Control

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Publisher : Math Science Press
ISBN 13 : 9780915692460
Total Pages : 205 pages
Book Rating : 4.6/5 (924 download)

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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:

Mathematical Control Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461214165
Total Pages : 389 pages
Book Rating : 4.4/5 (612 download)

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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.

Differential Forms in Mathematical Physics

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Publisher : Elsevier
ISBN 13 : 0080875246
Total Pages : 504 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Differential Forms in Mathematical Physics by :

Download or read book Differential Forms in Mathematical Physics written by and published by Elsevier. This book was released on 2009-06-17 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Forms in Mathematical Physics

An Introduction to Lie Groups and Lie Algebras

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Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Geometric Mechanics and Symmetry

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Publisher : Oxford University Press
ISBN 13 : 0199212902
Total Pages : 537 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Geometric Mechanics and Symmetry by : Darryl D. Holm

Download or read book Geometric Mechanics and Symmetry written by Darryl D. Holm and published by Oxford University Press. This book was released on 2009-07-30 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.

Quantization of Gauge Systems

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Publisher : Princeton University Press
ISBN 13 : 9780691037691
Total Pages : 556 pages
Book Rating : 4.0/5 (376 download)

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Book Synopsis Quantization of Gauge Systems by : Marc Henneaux

Download or read book Quantization of Gauge Systems written by Marc Henneaux and published by Princeton University Press. This book was released on 1992 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.

Optimization and Control of Bilinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387736697
Total Pages : 388 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Optimization and Control of Bilinear Systems by : Panos M. Pardalos

Download or read book Optimization and Control of Bilinear Systems written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2010-03-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers developments in bilinear systems theory Focuses on the control of open physical processes functioning in a non-equilibrium mode Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science

Lie Groups, Lie Algebras, and Some of Their Applications

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Publisher : Courier Corporation
ISBN 13 : 0486131564
Total Pages : 610 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Lie Groups, Lie Algebras, and Some of Their Applications by : Robert Gilmore

Download or read book Lie Groups, Lie Algebras, and Some of Their Applications written by Robert Gilmore and published by Courier Corporation. This book was released on 2012-05-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.

Geometrical Foundations of Robotics

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Publisher : World Scientific
ISBN 13 : 9810241135
Total Pages : 166 pages
Book Rating : 4.8/5 (12 download)

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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.

Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)

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Publisher : World Scientific
ISBN 13 : 9814590363
Total Pages : 1417 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition) by : John G Papastavridis

Download or read book Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition) written by John G Papastavridis and published by World Scientific. This book was released on 2014-03-06 with total page 1417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.

Lie-Cartan-Ehresmann Theory

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Publisher : Interdisciplinary Mathematics
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)

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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:

Geometric Formulation of Classical and Quantum Mechanics

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Publisher : World Scientific
ISBN 13 : 9814313726
Total Pages : 405 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Geometric Formulation of Classical and Quantum Mechanics by : G. Giachetta

Download or read book Geometric Formulation of Classical and Quantum Mechanics written by G. Giachetta and published by World Scientific. This book was released on 2011 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.