Classical Invariant Theory (London Mathematical Society Student Texts Book 44) 1st Edition by Peter J. Olver (PDF)

Description

There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms. It also includes a variety of innovations that make this text of interest even to veterans of the subject. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition.

User’s Reviews

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

⭐Except for some new terms ( transvectants, Hessians, Syzygies, special Euclidean groups)and notation ( I haven’t figured out exactly what he means by A^(-T) yet, inverse transpose?),it is a well written book that revives the ancient Hilbertinvariant theory and translates that intomodern terms. I was hooked when I realized the connection to the elliptic invariant.It has this neat section on Gordon’s method of digraphs as algebraic invariants.I really think some of this could be made where it could be taught to undergraduates without calculus.For me the treatment of invariants tied a lot of loose ends together.

⭐Alles hat geklappt, toll! Tutto ha funyionato benissimo come al solito, solo che mi son rotto di lasciare sti commenti < ho gi=a dato le 5 stelle... ⭐

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