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Lie Groups, Physics, and Geometry An Introduction for Physicists, Engineers and Chemists by Robert Gilmore

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Published by Cambridge University Press .
Written in English

Subjects:

  • Engineering: general,
  • Mathematics for scientists & engineers,
  • Science,
  • Science/Mathematics,
  • Mathematical Physics,
  • Science / Mathematical Physics

Book details:

The Physical Object
FormatHardcover
Number of Pages332
ID Numbers
Open LibraryOL10438439M
ISBN 100521884004
ISBN 109780521884006

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  Lie Groups, Physics, and Geometry. 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 /5(1).   The numerous and varied exercises are a particular strength of the book and lead the motivated reader to explore the diverse connections of Lie groups with a wide range of modern physics. All in all, Lie Groups, Physics, and Geometry is a worthy addition to the literature "Price: $ 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 . 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 by:

Lie groups are beautiful, important, and useful because they have one foot in each of the two great divisions of mathematics algebra and geometry. Their algebraic properties derive from the group axioms. Their geometric properties derive from the identification of group operations with points in a topological space. Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists Robert Gilmore Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. LIE GROUPS, PHYSICS, AND GEOMETRY An Introduction for Physicists, Engineers and Chemists 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 relation of Lie groups with many branches ofFile Size: KB. 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.4/5(4).

Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists by Robert Gilmore. Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Lie Groups, Physics, and Geometry by Robert Gilmore. Publisher: Drexel University Number of pages: Description: The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential. Many years ago I wrote the book Lie Groups, Lie Algebras, and Some of Their Applications (NY: Wiley, ). That was a big book: long and difficult. Over the course of the years I realized that more than 90% of the most useful material in that book could be presented in less than 10% of the space. This realization was accompanied by a promiseFile Size: KB. Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so by: