Amazon cover image
Image from Amazon.com

Transformation groups for beginners

By: Material type: TextTextSeries: Student mathematical Library vol. 25Publication details: 2004 American Mathematical Society Rhode Island, USADescription: x, 246 pISBN:
  • 9780821868904
Subject(s): DDC classification:
  • 512.55 D8T7
Summary: The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even advanced undergraduates in physics and chemistry.The first two chapters provide a warm-up to the material with, for example, a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. The notions of a transformation group and of an abstract group are then introduced. Group actions, orbits, and invariants are covered in the next chapter. The final chapter gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. (http://www.ams.org/bookstore?fn=20&arg1=geotopo&ikey=STML-25)
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Item location Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1364 (0 Floor, East Wing) General Stacks 512.55 D8T7 (Browse shelf(Opens below)) Available 175998

The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even advanced undergraduates in physics and chemistry.The first two chapters provide a warm-up to the material with, for example, a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. The notions of a transformation group and of an abstract group are then introduced. Group actions, orbits, and invariants are covered in the next chapter. The final chapter gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations. (http://www.ams.org/bookstore?fn=20&arg1=geotopo&ikey=STML-25)

There are no comments on this title.

to post a comment.