附註:Includes bibliographical references (pages 481-487) and index.
Two examples -- The splitting problem for linear operators -- Linear normal forms -- Nonlinear normal forms -- Geometrical structures in normal forms -- Selected topics in local bifurcation theory -- Rings -- Modules -- Generated recursive (Hori) -- Generated recursive (Deprit) -- On some algorithms in linear algebra.
摘要:The largest part of this book is devoted to normal forms, divided into semisimple theory, applied when the linear part is diagonalizable, and the general theory, applied when the linear part is the sum of the semisimple and nilpotent matrices. One of the objectives of this book is to develop all of the necessary theory 'from scratch' in just the form that is needed for the application to normal forms, with as little unnecessary terminology as possible. The intended audience is Ph. D. students and researchers in applied mathematics, theoretical physics, and advanced engineering, though in principle it could be read by anyone with a sufficient background in linear algebra and differential equations.
