Preview this item
Preview this item
Checking...

Linear Functions and Matrix Theory

Author: Bill Jacob New York, NY : Springer New York, 1995. Textbooks in mathematical sciences. eBook : Document : EnglishView all editions and formats This textbook is a new introduction to linear algebra for students who have completed the first year of calculus. In the spirit of modern instruction, this elementary presentation of the important ideas in linear algebra emphasizes conceptual understanding, developing applied examples, and working with realistic numerical data before introducing formal mathematical definition and operations. This text emphasizes geometric, symbolic, and numeric presentations of the subject. The first two chapters cover linear phenomena in both numeric and geometric settings. The symbolic manipulation of vectors and matrices is then introduced as a tool for the study of specific problems. Many examples, student exercises, and group project ideas are included.  Read more... (not yet rated) 0 with reviews - Be the first.

Find a copy in the library

Finding libraries that hold this item...

Details

Genre/Form: Electronic books Print version: Document, Internet resource Internet Resource, Computer File Bill Jacob Find more information about: Bill Jacob 9781461242185 1461242185 852779197 1 online resource (xi, 348 pages). 1 linear Functions.- 1.1 Linear Functions.- 1.2 Local Linearity.- 1.3 Matrices.- 1.4 More Linearity.- 2 Linear Geometry.- 2.1 Linear Geometry in the Plane.- 2.2 Vectors and Lines in the Plane.- 2.3 Linear Geometry in Space.- 2.4 An Introduction to Linear Perspective.- 3 Systems of Linear Equations.- 3.1 Systems of Linear Equations.- 3.2 Gaussian Elimination.- 3.3 Gauss-Jordan Elimination.- 3.4 Matrix Rank and Systems of Linear Equations.- 3.5 The Simplex Algorithm.- 4 Basic Matrix Algebra.- 4.1 The Matrix Product: A Closer Look.- 4.2 Fibonacci Numbers and Difference Equations.- 4.3 The Determinant.- 4.4 Properties and Applications of the Determinant.- 4.5 The LU-Decomposition.- 5 Key Concepts of Linear Algebra in Rn.- 5.1 Linear Combinations and Subspaces.- 5.2 Linear Independence.- 5.3 Basis and Dimension.- 6 More Vector Geometry.- 6.1 The Dot Product.- 6.2 Angles and Projections.- 6.3 The Cross Product.- 7 Eigenvalues and Eigenvectors of Matrices.- 7.1 Eigenvalues and Eigenvectors.- 7.2 Eigenspaces and Diagonalizability.- 7.3 Symmetric Matrices and Probability Matrices.- 8 Matrices as Linear Transformations.- 8.1 Linear Transformations.- 8.2 Using Linear Transformations.- 8.3 Change of Basis.- 9 Orthogonality and Least-Squares Problems.- 9.1 Orthogonality and the Gram-Schmidt Process.- 9.2 Orthogonal Projections.- 9.3 Least-Squares Approximations.- Answers to Odd-Numbered Problems. Textbooks in mathematical sciences. by Bill Jacob.

Abstract:

Courses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. The first two chapters deal with situations requiring linear  Read more...

Reviews

User-contributed reviews

Be the first.

Similar Items

Related Subjects:(2)

Confirm this request

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

Primary Entity

<http://www.worldcat.org/oclc/852779197> # Linear Functions and Matrix Theory
a schema:CreativeWork, schema:Book, schema:MediaObject ;
library:oclcnum "852779197" ;
library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/34463028#Place/new_york_ny> ; # New York, NY
library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
schema:about <http://experiment.worldcat.org/entity/work/data/34463028#Topic/matrix_theory> ; # Matrix theory
schema:bookFormat schema:EBook ;
schema:creator <http://viaf.org/viaf/163214384> ; # Bill Jacob
schema:datePublished "1995" ;
schema:description "This textbook is a new introduction to linear algebra for students who have completed the first year of calculus. In the spirit of modern instruction, this elementary presentation of the important ideas in linear algebra emphasizes conceptual understanding, developing applied examples, and working with realistic numerical data before introducing formal mathematical definition and operations. This text emphasizes geometric, symbolic, and numeric presentations of the subject. The first two chapters cover linear phenomena in both numeric and geometric settings. The symbolic manipulation of vectors and matrices is then introduced as a tool for the study of specific problems. Many examples, student exercises, and group project ideas are included."@en ;
schema:exampleOfWork <http://worldcat.org/entity/work/id/34463028> ;
schema:genre "Electronic books"@en ;
schema:inLanguage "en" ;
schema:isPartOf <http://experiment.worldcat.org/entity/work/data/34463028#Series/textbooks_in_mathematical_sciences> ; # Textbooks in mathematical sciences.
schema:isPartOf <http://worldcat.org/issn/1431-9381> ; # Textbooks in Mathematical Sciences,
schema:isSimilarTo <http://worldcat.org/entity/work/data/34463028#CreativeWork/> ;
schema:name "Linear Functions and Matrix Theory"@en ;
schema:productID "852779197" ;
schema:publication <http://www.worldcat.org/title/-/oclc/852779197#PublicationEvent/new_york_ny_springer_new_york_1995> ;
schema:publisher <http://experiment.worldcat.org/entity/work/data/34463028#Agent/springer_new_york> ; # Springer New York
schema:url <http://dx.doi.org/10.1007/978-1-4612-4218-5> ;
schema:workExample <http://worldcat.org/isbn/9781461242185> ;
wdrs:describedby <http://www.worldcat.org/title/-/oclc/852779197> ;
.

Related Entities

<http://experiment.worldcat.org/entity/work/data/34463028#Agent/springer_new_york> # Springer New York
a bgn:Agent ;
schema:name "Springer New York" ;
.

<http://experiment.worldcat.org/entity/work/data/34463028#Series/textbooks_in_mathematical_sciences> # Textbooks in mathematical sciences.
a bgn:PublicationSeries ;
schema:hasPart <http://www.worldcat.org/oclc/852779197> ; # Linear Functions and Matrix Theory
schema:name "Textbooks in mathematical sciences." ;
.

<http://id.loc.gov/authorities/subjects/sh85082139> # Mathematics
a schema:Intangible ;
schema:name "Mathematics"@en ;
.

<http://id.worldcat.org/fast/1012163> # Mathematics
a schema:Intangible ;
schema:name "Mathematics"@en ;
.

rdfs:comment "from Springer" ;
rdfs:comment "(Unlimited Concurrent Users)" ;
.

<http://viaf.org/viaf/163214384> # Bill Jacob
a schema:Person ;
schema:familyName "Jacob" ;
schema:givenName "Bill" ;
schema:name "Bill Jacob" ;
.

<http://worldcat.org/isbn/9781461242185>
a schema:ProductModel ;
schema:isbn "1461242185" ;
schema:isbn "9781461242185" ;
.

<http://worldcat.org/issn/1431-9381> # Textbooks in Mathematical Sciences,
a bgn:PublicationSeries ;
schema:hasPart <http://www.worldcat.org/oclc/852779197> ; # Linear Functions and Matrix Theory
schema:issn "1431-9381" ;
schema:name "Textbooks in Mathematical Sciences," ;
.

Content-negotiable representations