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.
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Für höhere Schule und Studium
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ISBN-13
978-0-8218-4441-0 (9780821844410)
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Schweitzer Klassifikation
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.