Equivalence, Invariants and Symmetry 1st Edition by Peter J. Olver (PDF)

Description

This book presents an innovative synthesis of methods used to study the problems of equivalence and symmetry that arise in a variety of mathematical fields and physical applications. It draws on a wide range of disciplines, including geometry, analysis, applied mathematics, and algebra. Dr. Olver develops systematic and constructive methods for solving equivalence problems and calculating symmetries, and applies them to a variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials, and differential operators. He emphasizes the construction and classification of invariants and 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 related fields.

User’s Reviews

Editorial Reviews: Review “…represents an important effort to present the theory of the equivalence problem in a modern language with many new applications to concrete situations; in the author’s words, ‘it is a provocative blend of mathematical flavors’. Most of the material is of interest, and easily readable, for a wide class of specialists in different areas, as the book offers applications ranging over a great variety of fields.” Jaime Muñoz Masqué, Mathematical Reviews”Olver’s highly original exposition gives a unified approach to a wide variety of problems of this sort via Cartan’s equivalence method….this well-written book will interest a wide variety of mathematicians and graduate students.” D.V. Feldman, Choice Book Description Presents an innovative synthesis of methods used to study problems of equivalence and symmetry.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐In my opinion, this book is the best sources for studying invariants and symmetry groups. I would suggest reading “Applications of Lie Groups to Differential Equations” before starting this text. In order to get the most out of both books, a reader should be familiar with differential topology. Two final suggestions that I have are: 1) Work through the examples yourself to see how everything fits together, and 2) Visit the authors website and read through a few of his write-ups.Full Disclosure: The author is my advisor, so I am biased toward liking the subject and his books. With that said, I think it is difficult to find other sources on the subject that both lay the theoretical foundation and provide concrete examples that elucidate the theory.

⭐L’item reçu correspond exactement à ce qu’il était décrit et à mes attentes.Je suis par contre très déçu du service de livraison. J’ai reçu le colis ouvert sous le paillasson (pas conforme à ce que j’avais indiqué) et le livreur ne m’a même pas contacté pour me prévenir!

⭐

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