
000 | 01183camuu2200277 a 4500 | |
001 | 000000784405 | |
005 | 20141021110625 | |
008 | 000314s2000 paua b 001 0 eng | |
010 | ▼a 00029725 | |
020 | ▼a 0898714540 | |
020 | ▼a 9780898714548 | |
040 | ▼a DLC ▼c DLC ▼d NOR ▼d 211009 ▼d 244002 | |
042 | ▼a pcc | |
050 | 0 0 | ▼a QA188 ▼b .M495 2000 |
082 | 0 0 | ▼a 512/.5 ▼2 23 |
084 | ▼a 512.5 ▼2 DDCK | |
090 | ▼a 512.5 ▼b M612m | |
100 | 1 | ▼a Meyer, C. D. ▼q (Carl Dean) |
245 | 1 0 | ▼a Matrix analysis and applied linear algebra / ▼c Carl Meyer. |
260 | ▼a Philadelphia : ▼b Society for Industrial and Applied Mathematics, ▼c c2000. | |
300 | ▼a xii, 718 p. : ▼b ill. ; ▼c 25 cm.+ ▼e 1 computer optical disc (4 3/4 in.). | |
504 | ▼a Includes bibliographical references and index. | |
505 | 0 0 | ▼g 1. ▼t Linear equations -- ▼g 2. ▼t Rectangular systems and echelon forms -- ▼g 3. ▼t Matrix algebra -- ▼g 4. ▼t Vector spaces -- ▼g 5. ▼t Norms, inner products, and orthogonality -- ▼g 6. ▼t Determinants -- ▼g 7. ▼t Eigenvalues and eigenvectors -- ▼g 8. ▼t Perron-Frobenius theory. |
650 | 0 | ▼a Algebras, Linear. |
650 | 0 | ▼a Matrices. |
소장정보
No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
---|---|---|---|---|---|---|---|
No. 1 | 소장처 중앙도서관/서고7층/ | 청구기호 512.5 M612m | 등록번호 111225366 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
No. 2 | 소장처 세종학술정보원/과학기술실/ | 청구기호 512.5 M612m | 등록번호 151322774 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
---|---|---|---|---|---|---|---|
No. 1 | 소장처 중앙도서관/서고7층/ | 청구기호 512.5 M612m | 등록번호 111225366 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
No. | 소장처 | 청구기호 | 등록번호 | 도서상태 | 반납예정일 | 예약 | 서비스 |
---|---|---|---|---|---|---|---|
No. 1 | 소장처 세종학술정보원/과학기술실/ | 청구기호 512.5 M612m | 등록번호 151322774 | 도서상태 대출가능 | 반납예정일 | 예약 | 서비스 |
컨텐츠정보
목차
- Preface
- Chapter 1: Linear Equations. Introduction
- Gaussian Elimination and Matrices
- Gauss?Jordan Method
- Two-Point Boundary Value Problems
- Making Gaussian Elimination Work
- Ill-Conditioned Systems
- Chapter 2: Rectangular Systems and Echelon Forms. Row Echelon Form and Rank
- The Reduced Row Echelon Form
- Consistency of Linear Systems
- Homogeneous Systems
- Nonhomogeneous Systems
- Electrical Circuits
- Chapter 3: Matrix Algebra. From Ancient China to Arthur Cayley
- Addition, Scalar Multiplication, and Transposition
- Linearity
- Why Do It This Way?
- Matrix Multiplication
- Properties of Matrix Multiplication
- Matrix Inversion
- Inverses of Sums and Sensitivity
- Elementary Matrices and Equivalence
- The LU Factorization
- Chapter 4: Vector Spaces. Spaces and Subspaces
- Four Fundamental Subspaces
- Linear Independence
- Basis and Dimension
- More About Rank
- Classical Least Squares
- Linear Transformations
- Change of Basis and Similarity
- Invariant Subspaces
- Chapter 5: Norms, Inner Products, and Orthogonality. Vector Norms
- Matrix Norms
- Inner Product Spaces
- Orthogonal Vectors
- Gram?Schmidt Procedure
- Unitary and Orthogonal Matrices
- Orthogonal Reduction
- The Discrete Fourier Transform
- Complementary Subspaces
- Range-Nullspace Decomposition
- Orthogonal Decomposition
- Singular Value Decomposition
- Orthogonal Projection
- Why Least Squares?
- Angles Between Subspaces
- Chapter 6: Determinants. Determinants
- Additional Properties of Determinants
- Chapter 7: Eigenvalues and Eigenvectors. Elementary Properties of Eigensystems
- Diagonalization by Similarity Transformations
- Functions of Diagonalizable Matrices
- Systems of Differential Equations
- Normal Matrices
- Positive Definite Matrices
- Nilpotent Matrices and Jordan Structure
- The Jordan Form
- Functions of Nondiagonalizable Matrices
- Difference Equations, Limits, and Summability
- Minimum Polynomials and Krylov Methods
- Chapter 8: Perron-Frobenius Theory of Nonnegative Matrices. Introduction
- Positive Matrices
- Nonnegative Matrices
- Stochastic Matrices and Markov Chains
- Index.