Lie Groups, Physics, and Geometry

Lie Groups, Physics, and Geometry by Gilmore, Robert Download PDF EPUB FB2

Since this is a large and complicated theory, only the basic elements that show how Lie groups are used to simplify the integration of differential equations are presented.

This book constitutes a very comprehensive introduction to Lie theory in physics, dealing with the most important features that students will by: Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists by Gilmore, Robert () Hardcover Hardcover – January 1, out Lie Groups 5 stars 6 ratings See all 7 formats and editions Hide other formats and editions4/5(6).

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 Lie Groups 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:   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(5). Geometry and Symmetry in Physics "Gilmore (physics, Drexel U.) takes an applications-base approach to Lie group theory as it relates to certain branches of applied mathematics and the physical sciences, basically distilling what he considers the most useful material of his much longer book (New York: Wiley, )/5(6).

Title: Lie Groups, Physics, and Geometry: Authors: Gilmore, Robert: Publication: Lie Groups, Physics, and Geometry, by Robert Gilmore, Cambridge, UK: Cambridge.

Robert Gilmore, author of Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists, is a mathematical physicist who specializes in chaos theory and dynamical systems.

His latest book, an update and expansion of his well-known Lie Groups, Lie Algebras, and Some of Their Applications (Wiley ), is targeted to (mathematical) by: ( views) Lie Groups, Physics, and Geometry by Robert Gilmore - Drexel University, 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 equations. 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 "Reviews: 4. LIE GROUPS IN PHYSICS1 version 25/06/07 Institute for Theoretical Physics Utrecht University Beta Faculty English version by G.

’t Hooft Original text by M.J.G. Veltman B.Q.P.J. de Wit and G. ’t File Size: KB.3. H. Georgi, Lie Algebras and Particle Physics, Perseus Books Group; 2nd edition (September 1, ).

This is quite a useful introduction to some of the basics of Lie algebras and Lie groups, written by a physicist for physicists. It is a bit idiosyncratic in its coverage, but what it does cover is explained reasonably well.

4. Size: KB.Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological of the key ideas in the theory of Lie groups is to replace the global object, the group, with its local or linearized version, which Lie himself called its "infinitesimal group" and which has since become known as its Lie algebra.