عنوان
پدید آورنده
موضوع
رده
QA184.2 .S23 2008
QA184
.
2
.
S23
2008
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0821844415
(Number (ISBN
1470412004
(Number (ISBN
9780821844410
(Number (ISBN
9781470412005
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Applied linear algebra :
General Material Designation
[Book]
Other Title Information
the decoupling principle /
First Statement of Responsibility
Lorenzo Sadun.
EDITION STATEMENT
Edition Statement
2nd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Providence, R.I. :
Name of Publisher, Distributor, etc.
American Mathematical Society,
Date of Publication, Distribution, etc.
©2008.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xviii, 371 pages :
Other Physical Details
illustrations ;
Dimensions
27 cm
GENERAL NOTES
Text of Note
Includes index.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
"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.
TOPICAL NAME USED AS SUBJECT
Algebras, Linear.
Algebras, Linear.
Angewandte Mathematik-- Lineare Algebra.
Lineare Algebra-- Angewandte Mathematik.
Lineare Algebra.
Lineare Algebra.
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
5
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA184
.
2
Book number
.
S23
2008
OTHER CLASS NUMBERS
Class number
512
.
5
Class number
SK
220
Book Number
SAD
System Code
rvk
PERSONAL NAME - PRIMARY RESPONSIBILITY
Sadun, Lorenzo Adlai.
ORIGINATING SOURCE
Date of Transaction
20200822135839.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
