By Robert Gilmore
Describing a few of the most crucial features of Lie staff conception, this booklet provides the topic in a 'hands on' means. instead of targeting theorems and proofs, the publication exhibits the functions of the fabric to actual sciences and utilized arithmetic. Many examples of Lie teams and Lie algebras are given during the textual content. The relation among Lie workforce conception and algorithms for fixing usual differential equations is gifted and proven to be analogous to the relation among Galois teams and algorithms for fixing polynomial equations. different chapters are dedicated to differential geometry, relativity, electrodynamics, and the hydrogen atom. difficulties are given on the finish of every bankruptcy so readers can computer screen their realizing of the fabrics. it is a attention-grabbing advent to Lie teams for graduate and undergraduate scholars in physics, arithmetic and electric engineering, in addition to researchers in those fields.
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This booklet is a compilation of a number of works from well-recognized figures within the box of illustration thought. The presentation of the subject is exclusive in delivering numerous diverse issues of view, which may still makethe ebook very precious to scholars and specialists alike.
This is often an abridged version of the author's prior two-volume paintings, Ring idea, which concentrates on crucial fabric for a normal ring conception path whereas ommitting a lot of the cloth meant for ring concept experts. it's been praised through reviewers:**"As a textbook for graduate scholars, Ring concept joins the easiest.
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