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Introduction to linear algebra 2nd ed

Introduction to linear algebra 2nd ed (Loan 12 times)

Material type
단행본
Personal Author
Lang, Serge, 1927-.
Title Statement
Introduction to linear algebra / Serge Lang.
판사항
2nd ed.
Publication, Distribution, etc
New York :   Springer-Verlag,   c1986.  
Physical Medium
viii, 293 p. : ill. ; 24 cm.
Series Statement
Undergraduate texts in mathematics
ISBN
0387962050 3540962050 9624300615 9783540780601
General Note
Includes index.  
Subject Added Entry-Topical Term
Algebras, Linear.
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001 000045733714
005 20130107144320
008 850619s1986 nyua 001 0 eng d
010 ▼a 85014758
020 ▼a 0387962050
020 ▼a 3540962050
020 ▼a 9624300615
020 ▼a 9783540780601
035 ▼a (KERIS)BIB000008412988
040 ▼a 211019 ▼d 211046 ▼d 241050 ▼d 244002
082 0 0 ▼a 512.5 ▼2 23
084 ▼a 512.5 ▼2 DDCK
090 ▼a 512.5 ▼b L271i2
100 1 ▼a Lang, Serge, ▼d 1927-.
245 1 0 ▼a Introduction to linear algebra / ▼c Serge Lang.
250 ▼a 2nd ed.
260 ▼a New York : ▼b Springer-Verlag, ▼c c1986.
300 ▼a viii, 293 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Undergraduate texts in mathematics
500 ▼a Includes index.
650 0 ▼a Algebras, Linear.

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.5 L271i2 Accession No. 151314313 Availability Available Due Date Make a Reservation Service C M

Contents information

Table of Contents


CONTENTS
CHAPTER Ⅰ Vectors = 1
 1. Definition of Points in Space = 1
 2. Located Vectors = 9
 3. Scalar Product = 12
 4. The Norm of a Vector = 15
 5. Parametric Lines = 30
 6. Planes = 34
CHAPTER Ⅱ Matrices and Linear Equations = 42
 1. Matrices = 43
 2. Multiplication of Matrices = 47
 3. Homogeneous Linear Equations and Elimination = 64
 4. Row Operations and Gauss Elimination = 70
 5. Row Operations and Elementary Matrices = 77
 6. Linear Combinations = 85
CHAPTER Ⅲ Vector Spaces = 88
 1. Definitions = 88
 2. Linear Combinations = 93
 3. Convex Sets = 99
 4. Linear Independence = 101
 5. Dimension = 118
 6. The Rank of a Matrix = 118
CHAPTER Ⅳ Linear Mappings = 123
 1. Mappings = 123
 2. Linear Mappings = 127
 3. The Kernel and Image of a Linear Map = 136
 4. The Rank and Linear Equations Again = 144
 5. The Matrix Associated with a Linear Map = 150
 Appendix : Change of Bases = 154
CHAPTER Ⅴ Composition and Inverse Mappings = 158
 1. Composition of Linear Maps = 158
 2. Inverses = 164
CHAPTER Ⅵ Scalar Products and Orthogonality = 171
 1. Scalar Products = 171
 2. Orthogonal Bases = 180
 3. Bilinear Maps and Matrices = 190
CHAPTER Ⅶ Determinants = 195
 1. Determinants of Order 2 = 195
 2. 3 × 3 and n × n Determinants = 200
 3. The Rank of a Matrix and Subdeterminants = 210
 4. Cramer's Rule = 214
 5. Inverse of a Matrix = 217
 6. Determinants as Area and Volume = 221
CHAPTER Ⅷ Eigenvectors and Eigenvalues = 233
 1. Eigenvectors and Eigenvalues = 233
 2. The Characteristic Polynomial = 238
 3. Eigenvalues and Eigenvectors of Symmetric Matrices = 250
 4. Diagonalization of a Symmetric Linear Map = 255
 Appendix. Complex Numbers = 260
Answers to Exercises = 266
Index = 289


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