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Linear Algebra Ideas and Applications.

Detalles Bibliográficos
Autor principal: Penney, Richard C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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008 230209s2015 xx o ||| 0 eng d
040 |a EBLCP  |b eng  |c EBLCP  |d OCLCQ  |d OCLCO  |d OCLCQ  |d EBLCP  |d OCLCQ  |d OCLCL  |d OCLCQ 
020 |a 9781118909621 
020 |a 1118909623 
035 |a (OCoLC)1347023234 
082 0 4 |a 512/.5  |q OCoLC  |2 23/eng/20231120 
049 |a UAMI 
100 1 |a Penney, Richard C. 
245 1 0 |a Linear Algebra  |h [electronic resource] :  |b Ideas and Applications. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2015. 
300 |a 1 online resource (513 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- Linear Algebra -- Contents -- Preface -- Features of the Text -- Acknowledgments -- About the Companion Website -- Chapter 1 Systems of Linear Equations -- 1.1 The Vector Space of Matrices -- The Space Rn -- Linear Combinations and Linear Dependence -- What Is a Vector Space? -- Why Prove Anything? -- Exercises -- 1.1.1 Computer Projects -- Exercises -- 1.1.2 Applications to Graph Theory I -- Self-Study Questions -- Exercises -- 1.2 Systems -- Rank: The Maximum Number of Linearly Independent Equations -- Exercises -- 1.2.1 Computer Projects -- Exercises 
505 8 |a 1.2.2 Applications to Circuit Theory -- Self-Study Questions -- Exercises -- 1.3 Gaussian Elimination -- Spanning in Polynomial Spaces -- Computational Issues: Pivoting -- Exercises -- Computational Issues: Counting Flops -- 1.3.1 Computer Projects -- Exercises -- Applications to Traffic Flow -- Self-Study Questions -- Exercises -- 1.4 Column Space and Nullspace -- Subspaces -- Exercises -- Computer Projects -- Chapter Summary -- Chapter 2 Linear Independence and Dimension -- 2.1 The Test for Linear Independence -- Bases for the Column Space -- Testing Functions for Independence -- Exercises 
505 8 |a 2.1.1 Computer Projects -- Exercises -- 2.2 Dimension -- Exercises -- 2.2.1 Computer Projects -- Exercises -- 2.2.2 Applications to Differential Equations -- Exercises -- 2.3 Row Space and the rank-nullity theorem -- Bases for the Row Space -- Summary -- Computational Issues: Computing Rank -- Exercises -- 2.3.1 Computer Projects -- Exercises -- Chapter Summary -- Chapter 3 Linear Transformations -- 3.1 The Linearity Properties -- Exercises -- 3.1.1 Computer Projects -- Exercises -- 3.2 Matrix Multiplication (Composition) -- Partitioned Matrices -- Computational Issues: Parallel Computing 
505 8 |a Exercises -- 3.2.1 Computer Projects -- Exercises -- 3.2.2 Applications to Graph Theory II -- Self-Study Questions -- Exercises -- 3.3 Inverses -- Computational Issues: Reduction versus Inverses -- Exercises -- 3.3.1 Computer Projects -- Exercises -- 3.3.2 Applications to Economics -- Self-Study Questions -- Exercises -- 3.4 The LU Factorization -- Exercises -- 3.4.1 Computer Projects -- Exercises -- 3.5 The Matrix of a Linear Transformation -- Coordinates -- Application to Differential Equations -- Isomorphism -- Invertible Linear Transformations -- Exercises -- Computer Projects -- Exercises 
505 8 |a Chapter Summary -- Chapter 4 Determinants -- 4.1 Definition of the Determinant -- 4.1.1 The Rest of the Proofs -- Exercises -- 4.1.2 Computer Projects -- 4.2 Reduction and Determinants -- Uniqueness of the Determinant -- Exercises -- 4.2.1 Volume -- Exercises -- A Formula for Inverses -- Exercises -- Chapter Summary -- Chapter 5 Eigenvectors and Eigenvalues -- 5.1 Eigenvectors -- Exercises -- 5.1.1 Computer Projects -- Exercises -- 5.1.2 Application to Markov Processes -- Exercises -- 5.2 Diagonalization -- Powers of Matrices -- Exercises -- 5.2.1 Computer Projects -- Exercises 
500 |a 5.2.2 Application to Systems of Differential Equations 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
758 |i has work:  |a Linear algebra (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGTxpjVCchtj9M4kch8vxP  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Penney, Richard C.  |t Linear Algebra  |d Newark : John Wiley & Sons, Incorporated,c2015  |z 9781118909584 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104213  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7104213 
994 |a 92  |b IZTAP