skip to content
Applied linear algebra : the decoupling principle Preview this item
ClosePreview this item

Applied linear algebra : the decoupling principle

Author: Lorenzo Adlai Sadun
Publisher: Upper Saddle River, N.J. : Prentice Hall, ©2001.
Edition/Format:   Print book : EnglishView all editions and formats

A useful reference, this book could easily be subtitled: All the Linear Algebra I Learned from Doing Physics that I Wished Somebody had Taught Me First.


(not yet rated) 0 with reviews - Be the first.

More like this


Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Additional Physical Format: Online version:
Sadun, Lorenzo Adlai.
Applied linear algebra.
Upper Saddle River, N.J. : Prentice Hall, ©2001
Document Type: Book
All Authors / Contributors: Lorenzo Adlai Sadun
ISBN: 0130856452 9780130856456
OCLC Number: 43903791
Notes: Includes index.
Description: xvii, 349 pages : illustrations ; 24 cm
Contents: 1. The Decoupling Principle. 2. Vector Spaces and Bases. Vector Spaces. Linear Independence, Basis and Dimension. Properties and Uses of a Basis. Change of Basis. Building New Vector Spaces from Old Ones.3. Linear Transformations and Operators. Definitions and Examples. The Matrix of a Linear Transformation. The Effect of a Change of Basis. Infinite Dimensional Vector Spaces. Kernels, Ranges, and Quotient Maps.4. An Introduction to Eigenvalues. Definitions and Examples. Bases of Eigenvectos. Eigenvalues and the Characteristic Polynomial. The Need for Complex Eigenvalues. When is an Operator Diagonalizable? Traces, Determinants, and Tricks of the Trade. Simultaneous Diagonalization of Two Operators. Exponentials of Complex Numbers and Matrices. Power Vectors and Jordan Canonical Form.5. Some Crucial Applications. Discrete-Time Evolution: x(n)=Ax(n-1). First-Order Continuous-Time Evolution: dx/dt=Ax. Second-Order Continuous-Time Evolution: d2x/dt2=Ax. Reducing Second-Order Problems to First-Order. Long-Time Behavior and Stability. Markov Chains and Probability Matrices. Linear Analysis near Fixed Points of Nonlinear Problems.6. Inner Products. Real Inner Products: Definitions and Examples. Complex Inner Products. Bras, Kets, and Duality. Expansion in Orthonormal Bases: Finding Coefficients. Projections and the Gram-Schmidt Process. Orthogonal Complements and Projections onto Subspaces. Least Squares Solutions. The Spaces l2 and L2(0,1). Fourier Series on an Interval.7. Adjoints, Hermitian Operators, and Unitary Operators. Adjoints and Transposes. Hermitian Operators. Quadratic Forms and Real Symmetric Matrices. Rotations, Orthogonal Operators, and Unitary Operators. How the Four Classes are Related.8. The Wave Equation. Waves on the Line. Waves on the Half Line; Dirichlet and Neumann Boundary Conditions. The Vibrating String. Standing Waves and Fourier Series. Periodic Boundary Conditions. Equivalence of Traveling Waves and Standing Waves. The Different Types of Fourier Series.9. Continuous Spectra and the Dirac Delta Function. The Spectrum of a Linear Operator. The Dirac o Function. Distributions. Generalized Eigenfunction Expansions; The Spectral Theorem.10. Fourier Transforms. Existence of Fourier Transforms. Basic Properties of Fourier Transforms. Convolutions and Differential Equations. Partial Differential Equations. Bandwidth and Heisenberg's Uncertainty Principle. Fourier Transforms on the Half Line.11. Green's Functions. Delta Functions and the Superposition Principle. Inverting Operators. The Method of Images. Initial Value Problems. Laplace's Equation on R2.Index.
Responsibility: Lorenzo Sadun.


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data

Primary Entity

<> # Applied linear algebra : the decoupling principle
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "43903791" ;
    library:placeOfPublication <> ; # Upper Saddle River, N.J.
    library:placeOfPublication <> ;
    schema:about <> ; # Lineare Algebra
    schema:about <> ;
    schema:about <> ; # Algebras, Linear
    schema:about <> ; # Algèbre linéaire
    schema:bookFormat bgn:PrintBook ;
    schema:copyrightYear "2001" ;
    schema:creator <> ; # Lorenzo Adlai Sadun
    schema:datePublished "2001" ;
    schema:exampleOfWork <> ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <> ;
    schema:name "Applied linear algebra : the decoupling principle"@en ;
    schema:productID "43903791" ;
    schema:publication <> ;
    schema:publisher <> ; # Prentice Hall
    schema:workExample <> ;
    umbel:isLike <> ;
    wdrs:describedby <> ;

Related Entities

<> # Prentice Hall
    a bgn:Agent ;
    schema:name "Prentice Hall" ;

<> # Lorenzo Adlai Sadun
    a schema:Person ;
    schema:familyName "Sadun" ;
    schema:givenName "Lorenzo Adlai" ;
    schema:name "Lorenzo Adlai Sadun" ;

<> # Upper Saddle River, N.J.
    a schema:Place ;
    schema:name "Upper Saddle River, N.J." ;

<> # Algèbre linéaire
    a schema:Intangible ;
    schema:name "Algèbre linéaire"@fr ;

<> # Algebras, Linear
    a schema:Intangible ;
    schema:name "Algebras, Linear"@en ;

    a schema:ProductModel ;
    schema:isbn "0130856452" ;
    schema:isbn "9780130856456" ;

    a schema:CreativeWork ;
    rdfs:label "Applied linear algebra." ;
    schema:description "Online version:" ;
    schema:isSimilarTo <> ; # Applied linear algebra : the decoupling principle

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.