Applied linear algebra : the decoupling principle / 2nd ed.
作者: Lorenzo Sadun.
出版社:
简介:"Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle." "Sadun includes some topics relating to infinite-dimensional spaces. He does not present a generaltheory, but enough so as to apply the decoupling principleto the wave equation, leading to Fourier series and the Fourier transform." "The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical,for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third ofthe exercises."--BOOK JACKET.