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Linear Algebra: A Geometric Approach, now in its second edition and written by Malcolm Adams and Ted Shifrin, presents the standard computational aspects of linear algebra. The textbook also includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses.
This textbook is an ideal book for any course covering the multifaceted and complex topic of linear algebra. The text guides students on how to think about mathematical concepts, understand how they can be applied, and help them build the skills they'll need in order to write rigorous mathematical arguments. As such, it's an ideal resource for both teaching and learning the subject.
Linear Algebra: A Geometric Approach, now in its second edition and written by Malcolm Adams and Ted Shifrin, presents the standard computational aspects of linear algebra. The textbook also includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses.
This textbook is an ideal book for any course covering the multifaceted and complex topic of linear algebra. The text guides students on how to think about mathematical concepts, understand how they can be applied, and help them build the skills they'll need in order to write rigorous mathematical arguments. As such, it's an ideal resource for both teaching and learning the subject.
Foreword to the Instructor
Foreword to the Student
1. Vectors
2. Dot Product
3. Hyperplanes in Rn
4. Systems of Linear Equations and Gaussian Elimination
5. The Theory of Linear Systems
6. Some Applications
1. Matrix Operations
2. Linear Transformations: An Introduction
3. Inverse Matrices
4. Elementary Matrices: Rows get Equal Time
5. The Transpose
1. Subspaces of Rn
3. Linear Independence and Basis
4. Dimension and Its Consequences
5. A Graphic Example
6. Abstract Vector Spaces
1. Inconsistent Systems and Projection
2. Orthogonal Bases
3. The Matrix of a Linear Transformation and the Change-of-Basis Formula
4. Linear Transformations on Abstract Vector Spaces
1. Properties of Determinants
2. Cofactors and Cramer’s Rule
3. Signed Area in R2 and Signed Volume in R2
1. The Characteristic Polynomial
2. Diagonalizability
3. Applications
4. The Spectral Theorem
1. Complex Eigenvalues and Jordan Canonical Form
2. Computer Graphics and Geometry
3. Matrix Exponentials and Differential Equations
Answers to Selected Exercises
List of Blue Boxes
Index
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 464 |
| Inhalt: | Gebunden |
| ISBN-13: | 9781429215213 |
| ISBN-10: | 1429215216 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Shifrin, Theodore
Adams, Malcolm |
| Auflage: | 2nd ed. 2010 |
| Hersteller: | Macmillan Learning |
| Abbildungen: | 464 p. |
| Maße: | 265 x 210 x 24 mm |
| Von/Mit: | Theodore Shifrin (u. a.) |
| Erscheinungsdatum: | 30.07.2010 |
| Gewicht: | 1,018 kg |
Foreword to the Instructor
Foreword to the Student
1. Vectors
2. Dot Product
3. Hyperplanes in Rn
4. Systems of Linear Equations and Gaussian Elimination
5. The Theory of Linear Systems
6. Some Applications
1. Matrix Operations
2. Linear Transformations: An Introduction
3. Inverse Matrices
4. Elementary Matrices: Rows get Equal Time
5. The Transpose
1. Subspaces of Rn
3. Linear Independence and Basis
4. Dimension and Its Consequences
5. A Graphic Example
6. Abstract Vector Spaces
1. Inconsistent Systems and Projection
2. Orthogonal Bases
3. The Matrix of a Linear Transformation and the Change-of-Basis Formula
4. Linear Transformations on Abstract Vector Spaces
1. Properties of Determinants
2. Cofactors and Cramer’s Rule
3. Signed Area in R2 and Signed Volume in R2
1. The Characteristic Polynomial
2. Diagonalizability
3. Applications
4. The Spectral Theorem
1. Complex Eigenvalues and Jordan Canonical Form
2. Computer Graphics and Geometry
3. Matrix Exponentials and Differential Equations
Answers to Selected Exercises
List of Blue Boxes
Index
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 464 |
| Inhalt: | Gebunden |
| ISBN-13: | 9781429215213 |
| ISBN-10: | 1429215216 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Shifrin, Theodore
Adams, Malcolm |
| Auflage: | 2nd ed. 2010 |
| Hersteller: | Macmillan Learning |
| Abbildungen: | 464 p. |
| Maße: | 265 x 210 x 24 mm |
| Von/Mit: | Theodore Shifrin (u. a.) |
| Erscheinungsdatum: | 30.07.2010 |
| Gewicht: | 1,018 kg |
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