Equivalence, Invariants and Symmetry

Released on by Peter J. Olver
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  • Equivalence, Invariants and Symmetry Book Detail

  • Author : Peter J. Olver
  • Release Date : 1995-06-30
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 546
  • ISBN 13 : 9780521478113
  • File Size : 57,57 MB
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Equivalence, Invariants and Symmetry by Peter J. Olver PDF Summary

Book Description: Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.

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