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Linear algebra / 5th ed

Linear algebra / 5th ed (32회 대출)

자료유형
단행본
개인저자
Friedberg, Stephen H. Insel, Arnold J. Spence, Lawrence E.
서명 / 저자사항
Linear algebra / Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence, Illinois State University.
판사항
5th ed.
발행사항
Upper Saddle River, New Jersey :   Pearson Education, Inc.,   c2019.  
형태사항
xiii, 594 p. : ill. ; 24 cm.
ISBN
9780134860244 (alk. paper) 0134860241 (alk. paper)
일반주기
Includes indexes.  
내용주기
Preface -- To the student -- Vector spaces -- Linear transformations and matrices -- Elementary matrix operations and systems of linear equations -- Determinants -- Diagonalization -- Inner product spaces -- Canonical forms -- Appendices -- Answers to selected exercises.
일반주제명
Algebras, Linear --Textbooks.
000 00000cam u2200205 a 4500
001 000045983655
005 20190516105634
008 190515s2019 njua 001 0 eng d
010 ▼a 2018016171
020 ▼a 9780134860244 (alk. paper)
020 ▼a 0134860241 (alk. paper)
035 ▼a (KERIS)REF000018647327
040 ▼a DLC ▼b eng ▼e rda ▼c DLC ▼d 211009
050 0 0 ▼a QA184 ▼b .F75 2018
082 0 0 ▼a 512/.5 ▼2 23
084 ▼a 512.5 ▼2 DDCK
090 ▼a 512.5 ▼b F899L5
100 1 ▼a Friedberg, Stephen H.
245 1 0 ▼a Linear algebra / ▼c Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence, Illinois State University.
250 ▼a 5th ed.
260 ▼a Upper Saddle River, New Jersey : ▼b Pearson Education, Inc., ▼c c2019.
300 ▼a xiii, 594 p. : ▼b ill. ; ▼c 24 cm.
500 ▼a Includes indexes.
505 0 ▼a Preface -- To the student -- Vector spaces -- Linear transformations and matrices -- Elementary matrix operations and systems of linear equations -- Determinants -- Diagonalization -- Inner product spaces -- Canonical forms -- Appendices -- Answers to selected exercises.
650 0 ▼a Algebras, Linear ▼v Textbooks.
700 1 ▼a Insel, Arnold J.
700 1 ▼a Spence, Lawrence E.
945 ▼a KLPA

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 512.5 F899L5 등록번호 111809464 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 중앙도서관/서고7층/ 청구기호 512.5 F899L5 등록번호 111816338 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

1. Vector Spaces
1.1 Introduction
1.2 Vector Spaces
1.3 Subspaces
1.4 Linear Combinations and Systems of Linear Equations
1.5 Linear Dependence and Linear Independence
1.6 Bases and Dimension
1.7* Maximal Linearly Independent Subsets
Index of Definitions

2. Linear Transformations and Matrices
2.1 Linear Transformations, Null Spaces, and Ranges
2.2 The Matrix Representation of a Linear Transformation
2.3 Composition of Linear Transformations and Matrix Multiplication
2.4 Invertibility and Isomorphisms
2.5 The Change of Coordinate Matrix
2.6* Dual Spaces
2.7* Homogeneous Linear Differential Equations with Constant Coefficients
Index of Definitions

3. Elementary Matrix Operations and Systems of Linear Equations
3.1 Elementary Matrix Operations and Elementary Matrices
3.2 The Rank of a Matrix and Matrix Inverses
3.3 Systems of Linear Equations - Theoretical Aspects
3.4 Systems of Linear Equations - Computational Aspects
Index of Definitions

4. Determinants
4.1 Determinants of Order 2
4.2 Determinants of Order n
4.3 Properties of Determinants
4.4 SummaryImportant Facts about Determinants
4.5* A Characterization of the Determinant
Index of Definitions

5. Diagonalization
5.1 Eigenvalues and Eigenvectors
5.2 Diagonalizability
5.3* Matrix Limits and Markov Chains
5.4 Invariant Subspaces and the Cayley-Hamilton Theorem
Index of Definitions

6. Inner Product Spaces
6.1 Inner Products and Norms
6.2 The Gram-Schmidt Orthogonalization Process and Orthogonal Complements
6.3 The Adjoint of a Linear Operator
6.4 Normal and Self-Adjoint Operators
6.5 Unitary and Orthogonal Operators and Their Matrices
6.6 Orthogonal Projections and the Spectral Theorem
6.7* The Singular Value Decomposition and the Pseudoinverse
6.8* Bilinear and Quadratic Forms
6.9* Einstein's Special Theory of Relativity
6.10* Conditioning and the Rayleigh Quotient
6.11* The Geometry of Orthogonal Operators
Index of Definitions

7. Canonical Forms
7.1 The Jordan Canonical Form I
7.2 The Jordan Canonical Form II
7.3 The Minimal Polynomial
7.4* The Rational Canonical Form
Index of Definitions

Appendices
A. Sets
B. Functions
C. Fields
D. Complex Numbers
E. Polynomials

Answers to Selected Exercises
Index


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