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" Applied linear algebra : "
Lorenzo Sadun.
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BL
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| Record Number
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846957
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| Main Entry
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Sadun, Lorenzo Adlai.
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| Title & Author
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Applied linear algebra : : the decoupling principle /\ Lorenzo Sadun.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, ©2008.
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| Page. NO
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xviii, 371 pages :: illustrations ;; 27 cm
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| ISBN
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0821844415
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: 1470412004
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: 9780821844410
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: 9781470412005
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| Notes
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Includes index.
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| Contents
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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.
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| Abstract
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"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 general theory, but enough so as to apply the decoupling principle to 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 of the exercises."--Jacket.
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| Subject
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Algebras, Linear.
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Algebras, Linear.
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Angewandte Mathematik-- Lineare Algebra.
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Lineare Algebra-- Angewandte Mathematik.
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Lineare Algebra.
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Lineare Algebra.
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| Dewey Classification
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512/.5
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| LC Classification
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QA184.2.S23 2008
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| NLM classification
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512.5SAD
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SK 220rvk
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