Applied linear algebra : the decoupling principle
著者
書誌事項
Applied linear algebra : the decoupling principle
American Mathematical Society, c2008
2nd ed
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注記
Includes index
内容説明・目次
内容説明
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.
目次
The decoupling principle Vector spaces and bases Linear transformations and operators An introduction to eigenvalues Some crucial applications Inner products Adjoints, Hermitian operators, and unitary operators The wave equation Continuous spectra and the Dirac delta function Fourier transforms Green's functions Matrix operations Solutions to selected exercises Index.
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