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040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a515.14 _bDUZ-T
100			_aDuzhin, S.V. _q(Sergeĭ Vasilʹevich)
245			_aTransformation groups for beginners
260			_aRhode Island : _bAmerican Mathematical Society, _c2004
300			_ax, 246p. : _bill. ; _c22 cm.
490			_aStudent mathematical library ; _vvolume 25
500			_aIncludes index.
520			_aThe 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. Throughout the text, examples are drawn from many different areas of mathematics. Plenty of figures are included, and many exercises with hints and solutions will help readers master the material.
521			_aStudents interested in group theory, especially with applications to geometry.
650			_aTransformation groups
650			_aAlgebraic topology
700			_aChebotarevsky, B.D. _q(Boris Dmitrievich)
856			_3Table of Contents _uhttps://books.google.co.in/books?id=bqbxBwAAQBAJ&printsec=frontcover#v=onepage&q&f=false
856			_3Reviews _uhttps://www.goodreads.com/book/show/5351489-transformation-groups-for-beginners-student-mathematical-library-vol?from_search=true&from_srp=true&qid=siA6vDZorI&rank=1#CommunityReviews
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