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Linear Algebra: A Modern Introduction (Available Titles CengageNOW) - GOOD
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eBay item number:276405872357
Item specifics
- Condition
- Brand
- Unbranded
- Book Title
- Linear Algebra: A Modern Introduction (Available Titles CengageN
- MPN
- Does not apply
- ISBN
- 9780534341749
- Subject Area
- Mathematics
- Publication Name
- Linear Algebra : a Modern Introduction
- Item Length
- 9.4 in
- Publisher
- Brooks/Cole
- Subject
- General, Calculus, Algebra / General
- Series
- Available Titles Cengagenow Ser.
- Publication Year
- 2002
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.6 in
- Item Width
- 8.1 in
- Item Weight
- 53.7 Oz
- Number of Pages
- 696 Pages
About this product
Product Information
In this innovative new Linear Algebra text, award-winning educator David Poole covers vectors and vector geometry first to enable students to visualize the mathematics while they are doing matrix operations. Rather than merely doing the calculations with no understanding of the mathematics, students will be able to visualize and understand the meaning of the calculations. By seeing the mathematics and understanding the underlying geometry, students will develop mathematical maturity and learn to think abstractly.
Product Identifiers
Publisher
Brooks/Cole
ISBN-10
0534341748
ISBN-13
9780534341749
eBay Product ID (ePID)
661771
Product Key Features
Publication Name
Linear Algebra : a Modern Introduction
Format
Hardcover
Language
English
Subject
General, Calculus, Algebra / General
Series
Available Titles Cengagenow Ser.
Publication Year
2002
Type
Textbook
Subject Area
Mathematics
Number of Pages
696 Pages
Dimensions
Item Length
9.4 in
Item Height
1.6 in
Item Width
8.1 in
Item Weight
53.7 Oz
Additional Product Features
Edition Number
1
LCCN
2001-052846
Lc Classification Number
Qa184.2.P66 2003
Reviews
The Writing Style Is Always Extremely Crisp and Clear and Offers Exactly the Right Amount of Detail.
Table of Content
1. VECTORS. Introduction: The Racetrack Game. The Geometry and Algebra of Vectors. Length and Angle: The Dot Product. Exploration: Vectors and Geometry. Lines and Planes. Exploration: The Cross Product. Code Vectors and Modular Arithmetic. Vignette: The Codabar System. Chapter Review. 2. SYSTEMS OF LINEAR EQUATIONS. Introduction: Triviality. Introduction to Systems of Linear Equations. Exploration: Lies My Computer Told Me. Direct Methods for Solving Linear Systems. Exploration: Partial Pivoting. Exploration: Counting Operations - An Introduction to the Analysis of Algorithms. Spanning Sets and Linear Independence. Applications: Allocation of Resources; Balancing Chemical Equations; Network Analysis; Electrical Networks; Finite Linear Games. Vignette: The Global Positioning System. Iterative Methods for Solving Linear Systems. Chapter Review. 3. MATRICES. Introduction: Matrices in Action. Matrix Operations. Matrix Algebra. The Inverse of a Matrix. The LU Factorization. Subspaces, Basis, Dimension, and Rank. Introduction to Linear Transformations. Applications: Markov Chains; Population Growth; Graph Theory; Error-Correcting Codes. Vignette: Robotics. Chapter Review. 4. EIGENVALUES AND EIGENVECTORS. Introduction: A Dynamical System on Graphs. Eigenvalues and Eigenvectors. Determinants. Exploration: Geometric Applications of Determinants. Eigenvalues and Eigenvectors of n x n Matrices. Similarity and Diagonalization. Iterative Methods for Computing Eigenvalues. Applications: Markov Chains; Population Growth; the Perron-Frobenius Theorem; Linear Recurrence Relations; Systems of Linear Differential Equations; Linear Dynamical Systems. Vignette: Ranking Sports Teams and Searching the Internet. Chapter Review. 5. ORTHOGONALITY. Introduction: Shadows on a Wall. Orthogonality in Rn. Orthogonal Complements and Orthogonal Projections. The Gram-Schmidt Process and the QR Factorization. Exploration: The Modified QR Factorization. Exploration: Approximating Eigenvalues with the QR Algorithm. Orthogonal Diagonalization of Symmetric Matrices. Applications: Dual Codes; Quadratic Forms; Graphing Quadratic Forms. Chapter Review. 6. VECTOR SPACES. Introduction: Fibonacci in (Vector) Space. Vector Spaces and Subspaces. Linear Independence, Basis, and Dimension. Exploration: Magic Squares. Change of Basis. Linear Transformations. The Kernel and Range of a Linear Transformation. The Matrix of a Linear Transformation. Exploration: Tilings, Lattices and the Crystallographic Restriction. Applications: Homogeneous Linear Differential Equations; Linear Codes. Chapter Review. 7. DISTANCE AND APPROXIMATION. Introduction: Taxicab Geometry. Inner Product Spaces. Exploration: Vectors and Matrices with Complex Entries. Exploration: Geometric Inequalities and Optimization Problems. Norms and Distance Functions. Least Squares Approximation. The Singular Value Decomposition. Vignette: Digital Image Compression. Applications: Approximation of Functions; Error-Correcting Codes. Chapter Review. Appendix A: Mathematical Notation and Methods of Proof. Appendix B: Mathematical Induction. Appendix C: Complex Numbers. Appendix D: Polynomials.
Copyright Date
2003
Target Audience
College Audience
Dewey Decimal
512/.5
Dewey Edition
22
Illustrated
Yes
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eBay item number:276405872357
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