¼±Çü´ë¼öÇаú ÀÀ¿ë Textbook

ȯ¿µÇÕ´Ï´Ù.³ªÀÇ text¸¦ ½±°í ÆíÇÏ°Ô º¸·Á´Â »ç¶÷µéÀ» À§ÇØ À¥¿¡ ¶ç¿î ÀÚ·áÀÔ´Ï´Ù. ¸ñÂ÷´Â ÀÌ ÆäÀÌÁöÀÇ ¾Æ·¡¿¡ ÀÖ½À´Ï´Ù. ´ÙÀ½ ¸î°¡Áö¸¦ ¾Ë·Áµå¸³´Ï´Ù.:


Table of Contents


Preface

Chapter 1. LINEAR SYSTEMS OF EQUATIONS


1. Some Examples
2. Notations and a Review of Numbers
3. Gaussian Elimination: Basic Ideas
4. Gaussian Elimination: General Procedure
5. *Computational Notes and Projects
6. Review Exercises

Chapter 2. MATRIX ALGEBRA


1. Matrix Addition and Scalar Multiplication
2. Matrix Multiplication
4. Applications of Matrix Multiplication
3. Special Matrices and Transposes
5. Matrix Inverses
6. Basic Properties of Determinants
7. *Applications and Proofs for Determinants
8. *Computational Notes and Projects
9. Review Exercises

Chapter 3. VECTOR SPACES


1. Definitions and Basic Concepts
2. Subspaces
3. Subspaces Associated with Matrices and Operators
4. Standard Norm and Inner Product
5. Applications of Norm and Inner Product
6. Bases and Dimension
7. Linear Systems Revisited
8. *Computational Notes and Projects
9. Review Exercises

Chapter 4. THE EIGENVALUE PROBLEM


1. Definitions and Basic Properties
2. Similarity and Diagonalization
3. Applications to Discrete Dynamical Systems
4. *Computational Notes and Projects
5. Review Exercises

Chapter 5. GEOMETRICAL ASPECTS OF VECTORS


1. Normed Linear Spaces
2. Inner Product Spaces
3. Gram-Schmidt Algorithm
4. Unitary and Orthogonal Matrices
5. Linear Systems Revisited
6. *Computational Notes and Projects
7. Review Exercises

Chapter 6. ADDITIONAL TOPICS


1. *Tensor Products
2. *Change of Basis and Linear Operators
2. *Operator Norms
3. *Schur Form and Applications
2. *The Singular Value Decomposition

Appendix A.

Table of Symbols
Solutions to Selected Exercises
Bibliography
Index
Errata Sheet for the revised second edition