Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics - 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 Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics write by D.H. Sattinger. This book was released on 2013-11-11. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics available in PDF, EPUB and Kindle. This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics - 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 Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics write by D. H. Sattinger. This book was released on 2014-01-15. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics available in PDF, EPUB and Kindle.
Lie Groups, Physics, and Geometry
Lie Groups, Physics, and Geometry - 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 Lie Groups, Physics, and Geometry write by Robert Gilmore. This book was released on 2008-01-17. Lie Groups, Physics, and Geometry available in PDF, EPUB and Kindle. 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.
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics - 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 Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics write by D.H. Sattinger. This book was released on 1993-09-10. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics available in PDF, EPUB and Kindle. This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.
Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics - 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 Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics write by Josi A. de Azcárraga. This book was released on 1998-08-06. Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics available in PDF, EPUB and Kindle. A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
